Abstract
K-Functor in algebraic geometry - An invariant of cohomology type associated with schemes in algebraic K-theory. More precisely, in algebraic K-theory one constructs a contravariant functor
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References
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Segal, G.B.: ‘Equivariant K-theory’, Publ. Math. IHES 34 (1968), 129–151.
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Weil, A.: Introduction à l’étude des variétés kahlériennes, Hermann, 1958.
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Calabi, E.: ‘On Kähler manifolds with vanishing canonical class’, in R.H. Fox, D.C. Spencer and A.W. Tucker (eds.): Algebraic geometry and topology. Symp. in honor of S. Lefschetz, Princeton Univ. Press, 1955, pp. 78–89.
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Yau, S.-T.: ‘On the Ricci curvature of a compact Kähler manifold and the complex Monge-Ampère equation I’, Comm. Pure AppI. Math. 31 (1978), 339–411.
Aubin, T.: ’Equations du type de Monge-Ampère sur les variètès kähleriennes compactes’, G.R. Acad. Sci. Paris 283 (1976), 119–121.
Bourollonon, J.-P.: ‘Premières formes de Chern desvariètès kähleriennes compactes’, in Sem. Bourbaki1977/1978, Exp. 507, Springer, 1979, pp. 1–21.
Huebsch, T.: ‘Calabi - Yau manifolds - motivations and constructions’, Comm. Math. Phys. 108 (1987),291–318.
Green, M.B., Schwarz, J.H. and Wi1ten, E.: Superstring theory, 2. Loop amplitudes, anomalies & phenomenology, Cambridge Univ. Press, 1987, p. 438ft.
Candelas, P., Horowitz, G., Strominger, A. and Witten, E.: ‘Vacuum configurations for superstrings’, Nuclear Physics B258(1958), 46–74.
Wit, B. de, Smjt, DJ. and Hari-Dass, N.D.: ‘Residual supersymmetry of compactified d=10 supergravity’, Nuclear Physics B283 (1987), 165–191.
Gepner, D.: ‘Exactly solvable string compactifications on manifolds of SU(N) holonomy’, Physics Letters B199 (1987), 380–388.
‘Première classe de Chern et courbure de Ricci: preuve de la conjecture de Calabi’, Sem. Palaiseau 1978, Soc. Math. France, 1978.
Siu, Y.-T.: Lectures on Hermitean—Einstein metrics for stable bundles and Kähler—Einstein metrics, Birkhäuser, 1987.
Chern, S.S.: ‘Characteristic classes of Hermitian manifolds’, Ann. of Math. 47 (1946), 85–121.
Calabi, E.: ‘The space of Kähler metrics’, in Proc. Internal Congress Mathematicians Amsterdam, Vol. 2, Noordhoff, 1954, pp. 206–207.
Calabi, E.: ‘On Kähler manifolds with vanishing canonical class’, in R.H. Fox, D.C. Spencer and A.W. Tucker (eds.): Algebraic geometry and topology. Symp. in honor of S. Lefschetz, Princeton Univ. Press, 1955, pp. 78–89.
Yau, S.-T.: ‘On Calabi’s conjecture and some new results inalgebraic geometry’, Proc. Nat Acad. Sci. USA 74 (1977), 1798–1799.
Yau, S.-T.: ‘On the Ricci curvature of a compact Kähler manifold and the complex Monge—Ampère equation I’, Comm. PureAppl. Math. 31 (1978), 339–411.
Aubin, T.: ‘Equations du type de Monge-Ampère sur les variètès kähleriennes compactes’, C.R. Acad. Sci. Paris 283 (1976), 119–121.
Bourguignon, J.-P.: ‘Premieres formes de Chern des variètès kèhleriennes compactes’, in Sem. Bourbaki 1977/1978, Exp. 507, Springer, 1979, pp. 1–21.
Huebsch, T.: ‘Calabi-Yau manifolds — motivations and constructions’, Comm. Math. Phys. 108 (1987), 291–318.
Green, M.B., Schwarz, J.H. and Witten, E.: Superstring theory 2. Loop amplitudes, anomalies & phenomenology, Cambridge Univ. Press, 1987, p. 438ff.
KÄhler, E.: ‘Ueber eine bemerkenswerte Hermitesche Metrik’, Abh. Math. Sem. Univ. Hamburg 9 (1933), 173–186.
Weil, A.: Introduction à l’étude des varétés kahlériennes, Hermann, 1958.
Lichnerowicz, A.: Global theory of connections and holonomy groups, Noordhoff, 1976 (translated from the French).
Wells, Jr., R.O.: Differential analysis on complex manifolds, Springer, 1980.
Hodge, W.V.D.: The theory and application of harmonic integrals, Cambridge Univ. Press, 1952.
Deligne, P., Griffiths, P., Morgan, J. and Sullivan, D.: ‘The real homology of Kaehler manifolds’, Invent. Math. 29 (1975), 245–274.
Kakutani, S.: ‘A generalization of Brouwer’s fixed point theorem’, Duke Math. J. 8, no. 3 (1941), 457–459.
Fan, Ky: ‘Fixed point and minimax theorems in locally convex topological linear spaces’, Proc. Nat. Acad. Sci. USA 38 (1952), 121–126.
] NIKaido, H.: Convex structures and economic theory, Acad. Press, 1968.
Dugundji, J. and Granas, A.: Fixed point theory 1, PWN, 1982.
Kantorovich, L.V.: ‘On Newton’s method for functional equations’, Dokl. Akad Nauk SSSR 59, no. 6 (1948), 1237–1240 (in Russian).
Kantorovich, L.V. and Akilov, G.R: Functional analysis in normed spaces Pergamon, 1964 (translated from the Russian).
Krasnosel’skiĭ, MA., et al.: Approximate solution of operator equations, Moscow, 1969 (in Russian).
Collatz, L.: Funktionalanalysis und numerische Mathematik, Springer, 1964.
Denis, Jr., J.E. and Schnable, R.: Numerical methods for unconstrained optimization and nonlinear equations, Prentice-Hall, 1983.
Ortega, J.M. and RheInboldt, W.C.: Iterative solution of nonlinear equations in several variables, Acad. Press, 1970.
Savelov, A.A.: Plane curves, Moscow, 1960 (in Russian).
Lawrence, J.D.: A catalog of special plane curves, Dover, reprint, 1972.
Kawaguchi, A.: ‘Theory of connections in a Kawaguchi space of higher order’, Proc. Imp. Acad. Tokyo 13 (1937), 237–240.
Losik, M.V.: ‘Kawaguchi spaces associated with Klein spaces’, Tr. Sem. Vektor. Tenzor. Anal 12 (1963), 213–237 (in Russian).
Blizntkas, V.I.: ‘Finsler spaces and their generalizations’, Progress in Math. 9 (1971), 75–136. (Itogi Nauk. Alg. Topol Geom. 7967(1969), 73–125)
Keldysh, M.V. and Lavrent‘ev, M.A.: ’Sur la répresentation conforme des domains limités par des courbes rectifiables’, Ann. Ecole Norm. Sup. 54 (1937), 1–38.
Priwalow, I.I. [I.I. Prtvalov]: Randeigenschaften anafytischer Funktionen, Deutsch. Verlag Wissenschaft., 1956 (translated from the Russian).
Lohwater, A.J.: The boundary behaviour of analytic func- tions’, Itogi Nauk. i Tekhn. Mat. Anal 10 (1973), 99–259 (in Russian)
] Duren, P.L., Shapiro, H.S. and Shields, A.L.: ‘Singular measures and domains not of Smirnov type’, Duke Math. J. 33(1966), 247–254.
Piranian, G.: ‘Two monotonic, singular, uniformly almost smooth functions’, Duke Math. J. 33 (1966), 254–262.
Keldysh, M.V. and Lavrent‘ev, MA.: ’Sur un problème de M. Carleman’, Dokl Akad Nauk SSSR 23, no. 8 (1939), 746–748.
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Gaier, D.: Lectures on complex approximation, Birkhäuser, 1987 (translated from the German).
Keldysh, M.V.: ‘Sur la répresentation par des séries de polynomes des fonctions d’une variable complexe dans de domains fermés’, Mat. Sb. 16, no. 3 (1945), 249–258.
Mergelyan, S.N.: ‘Uniform approximations to functions of a complex variable’, Transl. Amer. Math. Soc. (1) 3 (1962), 294–391. (Uspekhi Mat. Nauk 7, no. 2 (1952), 3–122)
Keldysh, M.V.: ‘Sur la résolubilité et la stabilité du probléme de Dirichlet’, Dokl. Akad Nauk SSSR 18 (1938), 315–318.
Keldysh, M.V.: ‘On the solvability and stability of the Dirichlet problem’, Uspekhi Mat. Nauk 8 (1941), 171–231 (in Russian).
Keldysh, M.V.: ‘Sur le probleme de Dirichlet’, Dokl. Akad Nauk SSSR 32 (1941), 308–309.
Landkof, N.S.: Foundations of modern potential theory Springer, 1972 (translated from the Russian).
Brèlot, M.: Elements de la théorie classique du potentiel, Sor-bonne Univ. Centre Doc. Univ., Paris, 1969.
Netuka, I.: ‘The classical Dirichlet problem and its generalizations’, in Potential Theory, Copenhagen 1979, Lecture notes in math., Vol. 787, Springer, 1980, pp. 235–266.
Gaier, D.: Lectures on complex approximation, Birkhäuser, 1987 (translated from the German).
Kellogg, O.D.: Foundations of potential theory, F. Ungar, 1929. Re-issue: Springer, 1967.
Evans, G.C.: ‘Application of Poincaré’s sweeping-out process’, Proc. Nat. Acad Sci. USA 19 (1933), 457–461.
Keldysh, M.V.: ‘On the solvability and stability of the Dirichlet problem’, Uspekhi Mat. Nauk 8 (1941), 171–231 (in Russian).
Brèlot, M.: Elements de la thiorie classique du potentiel, Sor-bonne Univ. Centre Doc. Univ., Paris, 1969.
Kellogg, O.D.: ‘Harmonic functions and Green’s integral’, Trans. Amer. Math. Soc. 13, no. 1 (1912), 109–132.
Kellogg, O.D.: ‘On the derivatives of harmonic functions on the boundary’, Trans. Amer. Math. Soc. 33, no. 2 (1931), 486–510.
Goluztn, G.M.: Geometric theory of functions of a complex variable; Amer. Math. Soc., 1969 (translated from the Russian).
Warschawski, S.E.: ‘On differentiability at the boundary in conformal mapping’, Proc. Amer. Math. Soc. 12 (1961), 614- 620.
Brèlot, M.: Eléments de la théorie classique du potentiel, Sorbonne Univ. Centre Doc. Univ., Paris, 1969.
Thomson, W.: Mathematical and physical papers, 3 Cambridge Univ. Press, 1980, p. 492.
Jahnke, E., Emde, F. and Losch, F.: Tafeln höheren Funk- tionen, Teubner, 1966.
Gradshtein, I.S. and Ryzmk, I.M.: Tables of integrals, series and products, Acad. Press, 1973 (translated from the Russian).
Abramowttz, M. and Stegun, I.A.: Handbook of mathematical functions, Dover, reprint, 1965.
Thomson, W.: ‘Extraits de deux letters adressées á M. Liou-ville’. Math. PuresAppl. 12 (1847), 256–264.
Vladmrov, V.S.: Equations of mathematical physics, Mir, 1984, Chapt. 5 (translated from the Russian).
Brèlot, M.: Eléments de la thiorié classique du potentiel, Sor-bonne Univ. Centre Doc. Univ., Paris, 1969.
Helms, L.L.: Introduction to potential theory, Wiley, 1969(translated from the German).
Wermer, J.:Potential theory, Lecture notes in math., 408, Springer, 1974.
Kelogy, O.D.: Foundations of potential theory, Dover, reprint, 1954.
Doob, J.L.: Classical potential theory and its probabilistic counterpart, Springer, 1984.
Kendall, M.G.: Rank correlation methods, Griffin, 1970.
Waerden, B.L. van der: Mathematische Statistik, Springer, 1957.
Bol’shev, L.N. and Smirnov, N.V.: Tables of mathematical statistics, Libr. of mathematical tables, 46, Nauka, Moscow, 1983 (in Russian). Processed by L.S. Bark and E.S. Kedova.
Pearson, E.S. and Hartley, H.O.: Biometrica tables for statisticians, 1, Cambridge Univ. Press, 1956.
Subbotin, M.F.: A course in celestial mechanics, 1, Leningrad-Moscow,1941 (in Russian).
Fitzpatrick, P.M.: Principles of celestial mechanics, Acad. Press, 1970.
Knopp, K.: ‘Zur Theorie des Iimitierungsverfahren V, Math. Z. 31 (1930), 97–127.
Knopp, K.: ‘Zur Theorie des Iimitierungsverfahren IF, Math. Z. 31 (1930), 276–305.
Cooke, R.G.: Infinite matrices and sequence spaces, MacMillan, 1950.
Hardy, G.H.: Divergent series, Clarendon Press, 1949.
Kelley, J.L. and Namioka, I.: Linear topological spaces, v. Nostrand, 1963, Chapt. 5, Sect. 21.
Mitchell, B.: Theory of categories, Acad. Press, 1965.
AdÁmek, J.: Theory of mathematical structures, Reidel, 1983.
Bary, N.K. [N.K. Bari]: A treatise on trigonometric series, Per-gamon, 1964 (translated from the Russian).
Zygmund, A.: Trigonometric series, 1–2, Cambridge Univ. Press, 1988.
Gohberg, I. and Goldberg, S.: Basic operator theory, Birkhauser, 1981.
Halmos, P.R. and Sunder, V.S.: Bounded integral operators on L2 spaces, Springer, 1978.
Jörgens, K.: Lineare Integraloperatoren, Teubner, 1970.
Smirnov, V.I.: A course of higher mathematics, 4, Addison-Wesley, 1964 (translated from the Russian).
Zabreyko, P.P., et al. (eds.) [P.P. Zabreǐko]: Integral equations — a reference text, Noordhoff, 1975 (translated from the Russian).
Manes, F.G.: Algebraic categories, Springer, 1976, Chapt. 2, §1.
Schubert, H.: Kategorien, 2, Springer, 1970, Sect. 18.4.
MacLane, S.: Categories for the working mathematician, Springer, 1971, Sects. 3.3, 3.4.
Kerr, R.P.: ‘Gravitational field of a spinning mass as an example of algebraically special matrices’, Phys. Rev. Letters 11 (1963), 237–238.
Misner, C.W., Thorne, K.S. and Wheeler, J.: Gravitation, Freeman, 1973.
Rees, M., Ruffini, R. and Wheeler, J.: Black holes, gravitational waves and cosmology, Gordon & Breach, 1974.
Novikov, S.P.: ‘Homotopy-equivalent smooth manifolds F, Izv. Akad. Nauk SSSR. Ser. Mat. 28, no. 2 (1964), 365–474 (in Russian).
Pontryagin, L.S.: Smooth manifolds and their applications in homology theory, Moscow, 1976 (in Russian).
Browder, W.: The Kervaire invariant of framed manifold and its generalization’,Ann. of Math. 90 (1969), 157–186.
Browder, W.: Surgery on simply-connected manifolds, Springer 1972.
Kervaire, M.: ‘A manifold which does not admit any dif-ferentiable structure’, Comm. Math. Heh. 34 (1960), 257–270.
Kervaire, M.A. and Mjxnor, J.W.: ‘Groups of homotopy spheres I’, Ann. Mat. 77, no. 3 (1963), 504–537.
Khinchin, A.Ya.: ‘Ueber dyadische Bruche’, Math. Z. 18 (1923), 109–116.
Karlin, S.: ‘Orthogonal properties of independent functions’, Trans. Amer. Math. Soc. 66 (1949), 44–64.
Gaposhkin, V.F.: ‘Lacunary series and independent functions’, Russian Math. Surveys 21, no. 6 (1966), 1–82. (Uspekhi Mat. Nauk 21 (1966), 3–82)
Kahane, J.-P.: Some random series of functions, Cambridge Univ. Press, 1985.
Zygmund, A.: Trigonometric series, 1, Cambridge Univ. Press, 1988.
Khnchin, A.Ya.: ‘Sur une extension de l’intégrale de M. Denjoy’, C.R. Acad. Sci. Paris 162 (1916), 287–291.
Khnchin, A.Ya.: Mat. Sb. 30 (1918), 543–557.
Pesin, I.N.: Clafsical and modem integration theories, Acad. Press, 1970 (translated from the Russian).
Saks, S.: Theory of the integral, Hafner, 1952 (translated from the Polish).
Khnchin, A.Ya.: ‘On the arithmetic of distribution laws’, Byull. Moskov. Goa. Univ. Sekt. A I, no. 1 (1931),6–17 (in Russian).
Parthasarathy, K.R., Rao, R. Ranga and Varadhan, S.R. ‘Probability distribution on locally compact Abelian groups’, Illinois J. Math. 7 (1963),337–369.
Kendall, D.G.: ‘Delphic semi-groups, infinitely divisible phenomena, and the arithmetic of P-functions’, Z. Wahrschein- lichkeitstheor. Verw. Geb. 9, no. 3 (1968), 163–195.
Davidson, R.: ‘Arithmetic and other properties of certain Delphic semi-groups’, Z. Wahrscheinlichkeitstheor. Verw. Geb. 10, no. 2 (1968), 120–172.
Ruzsa, I.Z. and Szekely, G.J.: Algebraic probability theory, Wiley, 1988.
Lukacs, E.: Characteristic functions, Griffin, 1970.
Killing, W.: ‘Die Zusammensetzung der stetigen endlichen Transformationsgruppen I’, Math. Ann. 31 (1888), 252–290.
Killing, W.: ’Die Zusammensetzung der stetigen endlichen Transformationsgruppen II’, Math. Ann. 33 (1889), 1–48.
Killing, W.: ’Die Zusammensetzung der stetigen endlichen Transformationsgruppen III’, Math. Ann. 34 (1889), 57–122.
Killing, W.: ’Die Zusammensetzung der stetigen endlichen Transformationsgruppen IV’, Math. Ann. 36 (1890), 161–189.
Cartan, E.: ‘Sur la structure des groupes de transformations finis et continus’, in Oevres Completes Vol. 1, CNRS, 1984,pp.137–288
Bourbaki, N.: Elements of mathematics. Lie groups and Lie algebras, Addison-Wesley, 1975 (translated from the French)
Kaplansky, I.: Lie algebras and locally compact groups, Chicago Univ. Press, 1971.
NaImark, M.A.: Theory of group representations, Springer, 1982 (translated from the Russian).
O’Raifeartaigh, L.: Group structure of gauge theories, Cambridge Univ. Press, 1986.
Varadarajan, V.S.: Lie groups, Lie algebras and their representations, Springer, reprint, 1984.
Humphreys, J.E.: Introduction to Lie algebras and representation theory, Springer, 1972.
Spanier, EH.: Algebraic topology, McGraw-Hill, 1966.
Killing, W.: ‘Ueber die Grundlagen der Geometrie’, J. Reine Angew. Math. 109 (1892), 121–186.
Rashewski, P.K. [P.K. Rashevskiǐ]: Riemannsche Geometrie und Tensoranafyse, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
Eisenhart, L.P.: Riemannian geometry, Princeton Univ. Press, 1949.
Helgason, S.: Differential geometry, Lie groups, and symmetric spaces, Acad. Press, 1978.
Kobayashi, S.: Transformation groups in differential geometry, Springer, 1972.
Kumpera, A. and Spencer, D.: Lie equations, 1. General theory, Princeton Univ. Press, 1972.
Kobayashi, S. and Nomizu, K.: Foundations of differential geometry, 2, Interscience, 1969.
Egorov, LP.: ‘Motions in spaces of affine connection’, in ‘Motions, spaces, affine connections, Kazan’, 1965, pp. 5–179 (in Russian)
Montroll, E.W. and Lebowttz, J. (eds.): Nonequilibrium phenomena, 1. The Boltzmann equation, North-Holland, 1983.
Vladmrov, V.S.: ‘Mathematical problems in the uniform-velocity theory of transport’, Trudy Mat. Inst. Steklov. 61 (1961) (in Russian).
Shkhov, S.B.: Questions in the mathematical theory of reactors. Linear analysis, Moscow, 1973 (in Russian).
Case, K. and Zwedfel, P.: Linear transport theory, Addison-Wesley, 1967.
Kogan, M.N.: Ratified gas dynamics, Plenum Press, 1969 (translated from the Russian).
Silin, V.P.: Introduction to the kinetic theory of gases, Moscow, 1971 (in Russian).
Sobolev, V.V.: Transfer of radiation energy in the atmospheres of stars and planets, Moscow, 1956 (in Russian).
Cercignani, C: Mathematical methods in kinetic theory, Plenum Press, 1969.
Cercignani, C: The Boltzmann equation and its applications, Springer, 1988.
Carleman, T.: Problemes mathSmatiques dans la theorie kin&ique des gaz, Mittag-Leffler Inst., 1957.
Bitsadze, A.V.: The equations of mathematical physics, Moscow, 1976 (in Russian).
Vladimirov, V.S.: The equations of mathematical physics, Mir, 1984 (translated from the Russian).
Bateman, H.: Partial differential equations of mathematical physics, Dover, 1944.
Mathisson, M.: ‘Eine neue Losungsmethode fur Differential-gleichungen von normalem hyperbolischem Typus’, Math. Ann. 107 (1932), 400–419.
Mathisson, M.: ‘Le probléme de M. Hadamard rélatifs à la diffusion des ondes’, Acta Math. 71, no. 3–4 (1939), 249–282.
Mikhlin, S.G.: Linear partial differential equations, Moscow, 1977 (in Russian).
Sobolev, S.L.: ’Sur une généralisation de la formule de Kirchhoff’, Dokl. Akad Nauk SSSR 1, no. 6 (1933), 256–262.
Sobolev, S.L.: Applications of functional analysis in mathematical physics, Amer. Math. Soc., 1963 (translated from the Russian).
Smirnov, V.I.: A course of higher mathematics, 4, Addison- Wesley, 1964 (translated from the Russian).
Tichonoff, A.N. [A.N. Tikhonov] and Samarskiǐ, AA: Dif-ferentialgleichungen der mathematischen Physik, Deutsch. Verlag Wissenschaft., 1959 (translated from the Russian).
Baker, B.B. and Copson, E.T.: The mathematical theory of Huygens’s principle, Clarendon Press, 1950.
Schwartz, L.: Théorié des distributions, 2, Hermann, 1951.
Ktrchhoff, G.R.: ‘Vorlesungen über mathematischen Physik’, Ann. der Physik 18 (1883).
Hönl, H., Maue, A.-W. and Westpfahl, K.: Theorie der Beugung’, in S. Fltigge (ed.): Hondbuch der Physik, Vol. 25/1, Springer, 1961, pp. 218–573.
Rubinowicz, A.: Die Beugungswelle in der Kirchhoffschen Theorie der Beugung, PWN, 1957.
Kleene, S.C.: ‘Recursive predicates and quantifiers’, Trans. Amer. Math. Soc. 53 (1943), 41–73.
Mostowski, A.: ‘On definable sets of positive integers’, Fund Math. 34 (1947), 81–112.
Enderton, H.B.: ‘Elements of recursion theory’, in J. Bar-wise (ed.): Handbook of mathematical logic, North-Holland, 1977, pp. 527–566.
Klein, O.: Z. Phys. 37 (1926), 895–906.
Gordon, W.: Z. Phys. 40 (1926–1927), 117–133.
Pauli, W. and Weisskopf, V.: ‘Ueber die Quantisierung der skalaren relativistischen Wellengleichung’, Heh. Phys. Acta 1 (1934), 709–731.
Bogolyubov, N.N. and Shirkov, D.V.: Introduction to the theory of quantized fields Interscience, 1959(translated from the Russian)
Schweber, S.: An introduction to relativistic quantum field theory, Harper & Row, 1962.
Hilgevoord, J.: Dispersion relations and causal description, North-Holland, 1960.
Jager, E.M. De: ‘The Lorentz-invariant solutions of the Klein-Gordon equation I-III’, Indag. Math. 25, no. 4 (1963), 515–531; 532–545; 546–558.
Roman, P.: Theory of elementary particles, North-Holland, 1960.
Bjorken, J.D. and Drell, S.D.: Relativistic quantum mechanics, McGraw-Hill, 1964.
Klein, F.: ‘Ueber die sogenannte Nicht-Euklidische Geometrie’,Gött. Nochr. (1871), 419–433.
Kagan, V.F.: Foundations of geometry, 2, Moscow, 1956 (in Russian).
Efimov, N.V.: Höhere Geometrie, Deutsch. Verlag Wissen- schaft., 1960 (translated from the Russian).
Pogorelov, A. V.: Foundations of geometry, Noordhoff, 1966 (translated from the Russian).
Norden, A.P.: Elementare Einführung in die Lobatschewskische Geometrie, Deutsch. Verlag Wissen-schaft, 1958 (translated from the Russian).
Coxeter, H.S.M.: Non-Euclidean geometry, Univ. Toronto Press, 1957.
Klein, F.: The Erlangen program’, Math. Intelligencer 0 (1977), 22–30.
Blackett, D.W.: Elementary topology, Acad. Press, 1967.
Jänich, K.: Topology, Springer, 1984.
Mayer, J.: Algebraic topology, Prentice-Hall, 1972.
PoincarÉ, H.: ‘Mémoire sur les groupes kleinéens’, Acta Math. 3 (1883), 49–92.
Klein, F.: ‘4Neue Beiträge zur Riemannschen Funk- tionentheorie’, Math. Ann. 21 (1883), 141–218.
Ford, L.R.: Automorphic functions, Chelsea, reprint, 1951.
Lehner, J.: Discontinuous groups and automorphic functions, c Amer. Math. Soc., 1964.
Kra, I.: Automorphic forms and Kleinian groups, Benjamin, v 1972.
Krushkal’, S.L.: Quasiconformal mappings and Riemann surfaces, Winston, 1979 (translated from the Russian).
Bers, L. and Kra, I. (eds.): A crash course on Kleinian groups, 2 Lecture notes in math., 400, Springer, 1974.
Maskit, B.: Kleinian groups, Springer, 1988.
Kra, I. and Maskit, B. (eds.): Riemann surfaces and related topics: Proc. 1978 Stony Brook Conf., Princeton Univ. Press, 1981.
Farkas, H.M. and Kra, L: Riemann surfaces, Springer, 1980.
Knaster, B.: ‘Un continu dont tout sous-continu est indecomposable’, Fund Math. 3 (1922), 247–286.
Mazurkiewicz, S.: ‘Sur les continus absolument indécomposables’, Fund Math. 16 (1930), 151–159.
Kneser, H.: ‘Regulare Kurvenscharen auf Ringflachen’, Math. Ann. 91, no. 1–2 (1924), 135–154.
Reinhart, B.L.: ‘Line elements on the torus’, Amer. J. Math. 81, no. 3 (1959), 617–631.
Aepply, A. and Markus, L.: ‘Integral equivalence of vector fields on manifolds and bifurcation of differential systems’, Amer. J. Math. 85, no. 4 (1963), 633–654.
Camacho, C. and Neto, A.L.: Geometric theory of foliations, Birkhauser, 1985.
Hector, G. and Hirsch, U.: Introduction to the geometry of foliations, Viehweg & Sohn, 1981.
Trrs, J.: ‘Algebraic and abstract simple groups’, Ann. of Math. 80, no. 2 (1964), 313–329.
Platonov, V.P.: The problem of strong approximation and the Kneser—Tits conjecture for algebraic groups’, Math. USSR Izv. 3, no. 6 (1969), 1135–1148. (Izv. Akad Nauk SSSR Ser. Mat. 33, no. 6 (1969), 1121–1220)
Platonov, V.P.: ‘Arithmetic and structural problems in linear algebraic groups’, TransL Amer. Math. Soc. (2) 109 (1977), 21- 26. (Proc. Internat. Congr. Mathematicians Vancouver (1974), 471–476)
Platonov, V.P.: ‘On the Tannaka—Artin problem’, Soviet Math. Dokl. 16 (1975), 468–473. (Dokl. Akad. Nauk SSSR 221, no. 5 (1975), 1038–1041)
Platonov, V.P.: ‘The Tannaka—Artin problem and reduced K-theory’, Math. USSR Izv. 40, no. 2 (1976), 211–244. (Izv. Akad, Nauk SSSR. Ser. Mat. 40, no. 2 (1976), 227–261)
Platonov, V.P.: The infinitude of the reduced Whitehead group in the Tannaka—Artin problem’, Math. USSR Sb. 29 (1976), 167–176. (Mat. Sb. 100, no. 2 (1976), 191–200)
Platonov, V.P. and Yanchevskii, V.I.: ‘On the Kneser—Tits conjecture for unitary groups’, Soviet Math. Dokl. 16 (1975), 1456–1460. (Dokl. Akad Nauk SSSR 225, no. 1 (1975), 48–51)
Prasad, G. and Raghunathan, M.S.: ‘On the Kneser-Tits problem’, Math. Helv. 60 (1985), 107–121.
Tits, J.: ‘Groupes de Whitehead de groupes algSbriques simples sur un corps (d’apres V.P. Platonov et al.)’, in Sém. Bourbaki Exp. 505 (1976/77), Lecture Notes in Math., Vol. 677, Springer, 1978, pp. 218–236.
Reidemeister, K.: Knotentheorie Chelsea, reprint, 1948.
Alexander, J.W.: ‘A lemma on systems of knotted curves’, Proc. Nat. Acad. Sci. USA 9 (1923), 93–95.
Birman, J.S.: Braids, links and mapping class groups, Princeton Univ. Press, 1975.
Kauffman, L.H.: On knots, Princeton Univ. Press, 1987.
Crowell, R.H. and Fox, R.H.: Introduction to knot theory, Ginn, 1963.
Rolfsen, D.: Knots and links Publish or Perish, 1976
Crowell, R.H. and Fox, R.H.: Introduction to knot theory, Ginn, 1963.
Neuwirth, L.P.: Knot groups, Princeton Univ. Press, 1965.
Hillman, J.A.: Alexander ideals of links, Springer, 1981.
Gordon, C.McA.: ‘Some aspects of classical knot theory’, in Knot theory. Proc. Sem. Plans-swr-Bex 1977, Lecture notes in math., Vol.685,Springer,1978,pp.1–60
Eckmann, B.: ‘Aspherical manifolds and higher-dimensional knots’, Comm. Math. Heh. 51 (1976), 93–98.
Reidemeister, K.: ‘Ueber Knotengruppen’, Abh. Math. Sem. Univ. Hamburg 6 (1928), 56–64.
Hotz, G.: ‘Arkandenfadendarstellung von Knoten und eine neue Darstellung der Knotengruppe’, Abh. Math. Sem. Univ. Hamburg 24 (1960), 132–148.
Trotter, H.F.: ‘Homology of group systems with applications to knot theory’, Ann. of Math. 76 (1962), 464–498.
Trotter, H.F.: ‘Non-invertible knots exist’, Topology 2 (1964), 275–280.
Burde, G. and Zieschang, H.: ‘Eine Kennzeichnung der Torusknotten’, Math. Ann. 167 (1966), 169–176.
Lyndon, R.C. and Schapp, P.E.: Combinatorial group theory, Springer, 1977, p. Chapt. II, Sect. 2.
Kauffman, L.: On knots, Princeton Univ. Press, 1987.
Birman, J.S.: Braids, links and mapping class groups, Princeton Univ. Press, 1974.
Rolfsen, D.: Knots and links, Publish or Perish, 1976.
Burde, G.: ‘Knoten’, in Johrbuch Ueberblicke Mathematik, B.I. Mannheim, 1978, pp. 131–147.
Rolfsen, D.: Knots and links, Publish or Perish, 1976.
Crowell, R.H. and Fox, R.H.: Introduction to knot theory, Ginn, 1963.
Milnor, J.: Singular points of complex hypersurfaces, Princeton Univ. Press, 1968.
Mandelbaum, R.: ‘Four-dimensional topology’, Bull. Amer. Math. Soc. 2 (1980), 1–159.
Viro, O.Ya.: ‘Linkings, two-sheeted branched coverings and braids’, Math. USSR Sb. 16 (1972), 223–236. (Mat. Sb. 87 (1972), 216–228)
Matveev, S.V.: ’Distributive groupoids in knot theory’, Math.USSR Sb. 47 (1984), 73–83. (Mat. Sb. 119 (1982), 78–88)
Farber, M.Sh.: ‘The classification of simple knots’, Russian Math. Surveys 38, no. 5 (1983), 63–117 (Uspekhi Mat. Nauk 38, no. 5 (1983), 59–106)
Listing, J.B.: Vorstudien zur Topologie, Gottingen, 1848.
Hillman, J.A: Alexander ideals of links, Springer, 1981.
Gordon, C.McA.: ‘Some aspects of clasical knot theory’, in Knot Theory, Lecture notes in math., Vol. 685, Springer, 1978, pp. 1–60.
Kirby, R.C.: ‘Problems in low dimensional manifold theory’, in Algebraic geometry and geometric topology, Proc. Symp. Pure Math., Vol. 32, Amer. Math. Soc., 1978, pp. 273–312.
Simon, J.: ‘An algebraic classification of knots in S3’, Ann. of Math. 97 (1973), 1–13.
Rolfsen, D.: Tsotopy of links in codimension two’, J. Indian Math. Soc. 36 (1972), 263–278.
Levine, J.: ‘Knot modules I’, Trans. Amer. Math. Soc. 229 (1977), 1–50.
Giller, C.A.: ‘A family of links and the Conway calculus’, Trans. Amer. Math. Soc. 270 (1982), 75–109.
Farber, M.Sh.: ‘Isotopy types of knots of codimension two’, Trans. Amer. Math. Soc. 261 (1980), 185–209.
Schubert, H.: ‘Knoten mit zwei Bracken’, Math. Z. 65 (1956), 133–170.
Conway, J.H.: ‘An enumeration of knots and links, and some of their algebraic properties’, in Computational problems in abstract algebra, Pergamon, 1970, pp. 329–358.
Franks, J.M.: ‘Knots, links and symbolic dynamics’, Ann. of Math. 113 (1981), 529–552.
Birman, J.S. and Williams, R.F.: ‘Knotted periodic orbits in dynamical systems. I Lorenz’s equations’, Topology 22 (1983), 47–82.
Rolfsen, D.: Knots and links, Publish or Perish, 1976.
Kauffman, L.: On knots, Princeton Univ. Press, 1987, Sect. 18; Appendix.
Birman, J.S.: Braids, links and mapping class groups, Princeton Univ. Press, 1975.
Jones, V.F.R.: ‘A polynomial invariant for knots and links via von Neumann algebras’, Bull. Amer. Math. Soc. 12 (1985), 103–111.
Jones, V.F.R.: ‘Hecke algebra representations of braid groups and link polynomials’, Ann. of Math. 126 (1987), 335–388.
Kauffman, L.H.: State models for link polynomials, Reprint, M/88/46, IHES, 1988.
Turaev, V.G.: The Yang-Baxter equation and invariants of links’, Invent Math. 92 (1988), 527–553.
Witten, E: ‘Quantum field theory and the Jones polynomial’, in IAMP congress, Swansea, July 1986.
Freyd, P., Yetter, D., Hoste, J., Lickorish, W.R.R., Mtl-lett, K. and Ocneanu, A.: ‘A new polynomial invariant of knots and links’, Bull. Amer. Math. Soc. 12 (1985), 239–246.
Kauffman, L.: ‘State models and the Jones polynomial’, Topology 26 (1987), 395–407.
Przytycki, J.H. and Traczyk, P.: Invariants of links of Conway type’, Kobe J. Math. 4 (1987), 115–139.
Akutsu, Y. and Wadati, M.: ‘Knots, kinks, braids and exactly solvable models in statistical mechanics’, Comm. Math. Phys. 117 (1988), 243–259.
Kolata, G.: ‘Solving knotty problems in math and biology’, Science 231 (1986), 1506–1508.
Pohl, W.F.: ‘DNA and differential geometry’, Math. Intelligencers (1980), 20–27.
Reidemeister, K.: Knotentheorie, Chelsea, reprint, 1948.
Goerttz, L.: ‘Knoten und quadratische Formen’, Math. Z. 36 (1933), 647–654.
Seifert, H.: ‘Die Verschlingungsinvarianten der zyklischen Knotenuberlagerungen’, Abh. Math. Sem. Univ. Hamburg 11 (1935), 84–101.
Kneser, M. and Puppe, D.: ‘Quadratische Formen und Verschlingungsinvarianten von Knoten’, Math. Z. 58 (1953), 376–384.
Blanchfield, R.C. and Fox, R.H.: ‘Invariants of self-linking’, Ann. of Math. 53 (1951), 556–564.
Trotter, H.F.: ‘Homology of group systems with applications to knot theory’, Ann. of Math. 76 (1962), 464–468.
Murasugi, K.: ‘On a certain numerical invariant of link types’, Trans. Amer. Math. Soc. 117 (1965), 387–422.
Tristram, A.: ‘Some cobordism invariants for links’, Proc. Cambridge Philos. Soc. 66 (1969), 251–264.
Vnto, O.Ya.: ‘Branched coverings of manifolds with boundary and link invariants I’, Math. USSR Izv. 7 (1973), 1239–1256. (Izv. Akad Nauk SSSR Ser. Mat. 37 (1973), 1242–1258)
Rolfsen, D.: Knots and links, Publish or Perish, 1976.
Crowell, R.H. and Fox, R.H.: Introduction to knot theory.
Shafarevich, I.R.: ‘Algebraic surfaces’, Proc. Steklov Inst. Math. 75 (1967). (Trudy Mat. Inst. Steklov. 75 (1965))
Ueno, K.: Classification theory of algebraic varieties and compact complex spaces, Springer, 1975.
Iitaka, S.: ‘On D-dimensions of algebraic varieties’, J. Math. Soc. Japan 23(1971), 356–373.
Barth, W., Peters, C. and Ven, A. van de: Compact complex surfaces, Springer, 1984.
Iitaka, S.: Algebraic geometry, Springer, 1982,Chapt. 10.
Kodaira, K.: ‘On a differential geometric method in the theory of analytic stacks’, Proc. Nat. Acad Sci. USA 39 (1953), 1268–1273.
Wells, R.O., Jr.: Differential analysis on complex manifolds, Springer, 1980.
Mumford, D.: ‘Pathologies III’, Amer. J. Math. 89, no. 1 (1967), 94–104.
Zariski, O.: Algebraic surfaces, Springer, 1971.
Onishchik, A.L.: ‘Pseudoconvexity in the theory of complex spaces’, J. Soviet Math. 14, no. 4 (1980), 1363–1407. (Itogi Nauk. Algebra TopoL Geom. 15 (1977), 93–171)
Raynaud, M.: ‘Contre-example du “vanishing theorem” en caracteristique p>0’ in CP. Ramanujam. A tribute, Springer, 1978, pp. 273–278.
Viehweg, E.: ‘Vanishing theorems and positivity in algebraic fibre spaces’, in Proc. Internal Congress Mathematicians Berkeley, 1986, Vol. 1, Amer. Math. Soc., 1987, pp. 682–688.
Kollar, J.: ‘Vanishing theorems for cohomology groups’, in S.J. Bloch (ed.): Algebraic Geometry Bowdoin, 1985, Proc. Symp. Pure Math., Vol. 46, Amer. Math. Soc., 1987, pp. 233–243.
Koebe, P.: ‘Ueber die Uniformisierung beliebiger analytischen Kurven’, Math. Ann. 69 (1910), 1–81.
Hayman, W.K.: ‘Coefficient problems for univalent functions and related function classes’, J. London Math. Soc. 40, no. 3 (1965), 385–406.
Goluzin, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc., 1969 (translated from the Russian).
Koebe, P.: ‘Ueber die Uniformisierung beliebiger analytischer Kurven’, Nachr. K Ges. Wissenschaft. Gdttingen Math. Phys. KL 2 (1907), 191–210.
Koebe, P.: ‘Ueber die Uniformisierung der algebraischen Kur- ven durch automorphe Funktionen mit imaginaren Substitu- tionsgruppe’, Nachr. K Ges. Wissenschaft. Gdttingen Math. Phys. KI 4 (1908), 68–76.
Koebe, P.: ‘Ueber die Uniformisierung der algebraischen Kurven II, Math. Ann. 69 (1910), 1–81.
Koebe, P.: ‘Abhandlung zur Theorie der konformen Abbil-dung IV, Acta Math. 41 (1918), 305–344.
Koebe, P.: ‘Abhandlung zur Theorie der konformen Abbil-dung V, Math. Z 2 (1918), 198–236.
Goluztn, G.M.: ‘Intrinsic problems in the theory of univalent functions’, Uspekhi Mat. Nauk 6 (1939), 26–89 (in Russian).
Goluztn, G.M.: Geometric theory of functions of a complex variable, Amer. Math. Soc., 1969 (translated from the Russian).
Jenkins, J.A.: Univalent functions and conformal mapping, Springer, 1958.
Minda, CD.: ‘Bloch constants’, J. d’Analyse Math. 41 (1982), 54–84.
Conway, J.B.: Functions of a complex variable, Springer, 1978.
Aleksandrov, P.S.: Introduction to set theory and general.
Alexandrov, P.S. [P.S. Aleksandrov]: ‘Diskrete Räume’, Mat Sb. 1 (43) (1937), 501–519.
Chapman, S.: Proc. Roy. Soc Ser. A 119 (1928), 34–54.
Kolmogoroff, A. [A.N. Kolmogorov]: ‘Ueber die analytischen Methoden in der Wahrechqnlichkritsrechnung’, Moth Ann. 104 (1931), 415–458.
Gihman, LI. [LI. Gikhman] and Skorohod, A.V. [A.V. Skorokhod]: The theory of stochastic processes, 2, Springer, 1975 (translated from the Russian).
Lévy, P.: Processus stochastiques et mouvement Brownien, Gauthier-Vlllars, 1965.
Dynktn, E.B.: Markov processes, 1, Springer, 1965, Sect. 5.26 (translated from the Russian).
Feller, W.: An introduction to probability theory and its applications, 1, Wiley, 1966, Chapt. XV. 13.
Kolmogorov, A.N.: ‘Les groupes de Betti des espaces locale- ment bicompacts’, C.R. Acad Sci. 202 (1936), 1144–1147.
Kolmogorov, A.N.: ‘Proprietes des groupes de Betti des espaces localement bicompacts’, C.R. Acad Sci. 202 (1936), 1325–1327.
Kolmogorov, A.N.: ‘Les groupes de Betti des espaces metriques’, C.R. Acad Sci. 202 (1936), 1558–1560.
Kolmogorov, A.N.: ‘Cycles rélatifs. Théorème de dualité de M. Alexander’, C.R Acad Sci. 202 (1936), 1641–1643.
Mdzinarishvili, L.D.: ‘On Kolmogorov’s duality laV, Soviet Math. Dokl. 15 (1974), 840–843. (Dokl. Akad Nauk SSSR 216, no. 3 (1974), 502–504)
Aleksandrov, P.S.: ‘General theory of homology’, Uchen. Zap. Moscov. Gos. Univ. 45 (1940), 3–60 (in Russian).
Chogoshvili, G.S.: ‘On the equivalence of functional and spectral homology theory’, Izv. Akad Nauk SSSR. Ser. Mat. 15, no. 5 (1951), 421–438 (in Russian).
Steenrod, N.E. and Etlenberg, S.: Foundations of algebraic topology, Princeton Univ. Press, 1966.
Balavadze, M.B.: ‘On Kolmogorov’s duality theory’, Trudy Tbilisi Mat. Inst. 41 (1972), 5–40 (in Russian).
Mdzinarishvili, L.D.: ‘The equivalence of Kolmogorov’s and Steenrod‘s homology theories’, Trudy Tbilisi Mat. Inst. 41 (1972), 143–163 (in Russian). French and Georgian summaries.
Steenrod, N.: ‘Regular cycles of compact metric spaces’, Ann. of Math. 41 (1940), 833–851.
Alexander, J.W.: ‘On the chains of a complex and their duals’, Proc. Nat. Acad. Sci. USA 21 (1935), 509–512.
Spanter, E.H.: ‘Cohomology theory for general spaces’, Ann. of Math. 49 (1948), 407–427.
Milnor, J.W.: ‘On axiomatic homology theory’, Pacific J. Math. 12(1962), 337–341.
Kolmogorov, A.N.: ‘Ueber die analytischen Methoden in der Wahrscheinlichkeitsrechnung’, Math. Ann. 104 (1931), 415–458.
Gihman, LI. [I.I. Gkhman] and Skorohod, A.V. [A.V. Skorokhod]: The theory of stochastic processes, 2, Springer, 1979 (translated from the Russian).
Lévy, P.: Processus stochastiques et mouvement Brownien, Gauthier-Villars, 1965.
Dynkin, E.B.: Markov processes, 1, Springer, 1965, Sect. 5.26 (translated from the Russian).
Feller, W.: An introduction to probability theory and its applications, 1, Wiley, 1966, Chapt. XV.13. Wished by I.J. Schoenberg and A. Cavaretta [A3]; cf. also [A2]. For a beautiful survey concerning these problems see [A4]. Norm inequalities for the difference operator have been studied rather recently; see e.g. [A5].
Kolmogorov, A.N.: ‘On inequalities between the upper bounds of the successive derivatives of an arbitrary function on an infinite interval’, Tronsl. Amer. Math. Soc. (1)2 (1962), 1 233–243. (Uchen. Zap. Moskov. Univ. Mat. 3, no. 30 (1939), 3- 16)
Stechkin, S.B.: ‘Best approximation of linear operators’, Math. Notes 1(1967), 91–99. (Mat. Zametki 1, no. 2 (1967), 137–148)
Taĭkov, L.V.: ‘Kolmogorov-type inequalities and the best for-mulas for numerical differentiation’, Math. Notes 4 (1968), 631–634. (Mat. Zametki 4, no. 2 (1968), 233–238)
Arestov, V.V.: ‘Precise inequalities between norms of func- tions and their derivatives’, Acta Sci. Math. 33 (1972), 243–267] (in Russian).
Landau, E.: ‘Einige Ungleichungen fur zweimal differentier-bare Funktionen’, Proc. London Math. Soc. 13 (1913), 43–49.
Morsche, H.G. ter: Interpolation and extremal properties of &-spline functions, Univ. Eindhoven, 1982. Thesis.
Schoenberg, IJ. and Cavaretta, A.: ‘Solution of Landau’s problem concerning higher derivatives on the halfline’, in Proc. Internal Conf. Constructive Function Theory, Bulgarian Acad. Sci., 1972, pp. 297–308.
Schoenberg, I.J.: ‘The elementary cases of Landau’s problem of inequalities between derivatives’, Amer. Math. Monthly 80(1973), 121–158.
Kaper, H.G. and Spellman, B.E.: Best constants in norm inequalities for the difference operator’, Trans. Amer. Math. Soc. 299 (1987), 351–372.
Kolmogorov, A.N.: ‘Ueber die Summen durch den Zufall bestimmter unabhängiger Grössen’, Math. Ann. 99 (1928), 309–319.
Kolmogorov, A.N.: ‘Bemerkungen zur meiner Arbeit ’Ueber die Summen durch den Zufall bestimmter unabhangiger Grdssen”, Math. Ann. 102 (1929), 484–488.
Kolmogorov, A.N.: Foundations of the theory of probability, Chelsea, reprint, 1950 (translated from the German).
Loéve, M.: Probability theory, Princeton Univ. Press, 1963.
Feller, W.: An introduction to probability theory and its applications, 2, Wiley, 1966, Sect. VII.8.
Kolmogoroff, A. [A.N. Kolmogorov]: ‘Untersuchungen uber den Integralbegriff’, Math. Ann. 103 (1930), 654–696.
Kolmogorov, A.N. and Seltverstov, G.A.: ‘Sur la convergence des series de Fourier’, C.R Acad Sci. Paris 178 (1924), 303–306.
Kolmogorov, A.N. and Seltverstov, G.A.: ‘Sur la convergence des series de Fourier’, Atti Accad Naz. Lincei 3 (1926), 307–310.
Plessner, A.I.: ‘Ueber Konvergenz von trigonometrischen Reihen’, J. Reine Angew. Math. 155(1925), 15–25.
Kaczmarz, S.: ‘Sur la convergence et la sommabilite des developpements orthogonaux’, Studia Math. 1, no. 1 (1929), 87–121.
Smtrnov, N.V.: ‘Approximate distribution laws for random variables, constructed from empirical data’, Uspekhi Mat. Nauk 10 (1944), 179–206 (in Russian).
Bol‘shev, L.N.: ’Asymptotically Pearson transformations’, Theor. Probab. AppL 8 (1963), 121–146. (Tear. Veroyatnost. Primenen. 8, no. 2 (1963), 129–155)
Bol’shev, L.N. and Smtrnov, N.V.: Tables of mathematical statistics, Libr. of mathematical tables, 46, Nauka, Moscow, 1983 (in Russian). Processed by L.S. Bark and E.S. Kedova.
Waerden, B.L. van der: Mathematische Statistik, Springer, 1957
Noether, G.E.: ‘A brief survey of nonparametric statistics’, in R.V. Hogg (ed.): Studies in statistics, Math. Assoc. Amer., 1978, pp. 39–65.
Hollander, M. and Wolfe, DA: Nonparametric statistical methods, Wiley, 1973.
KoiMogorov, A.N.: ‘Sulla deteminizione empirica di una legge di distribuzione’, Giorn. 1st. Ital. Attuari 4 (1933), 83–91.
Smlrnov, N.V.: ‘On estimating the discrepancy between empirical distribiution curves for two independent samples’, Byull. Moskov. Gos. Univ. Ser. A 2, no. 2 (1938), 3–14 (in Russian).
Bol‘shev, L.N.: ’Asymptotically Pearson transformations’, Theor. Probab. Appl 8 (1963), 121–146. (Teor. Veroyatnost. Primenen. 8 (1963), 129–155)
Bol’shev, L.N. and Smlrnov, N.V.: Tables of mathematical statistics, Libr. of mathematical tables, 46, Nauka, Moscow,1983 (in Russian). Processed by L.S. Bark and E.S. Kedova.
Noether, G.E.: ‘A brief survey of nonparametric statistics’, in R.V. Hogg (ed.): Studies in statistics, Math. Assoc. Amer., 1978, pp. 3–65.
Hollander, M. and Wolfe, DA.: Nonparametric statistical methods, Wiley, 1973.
König, D.: ‘Graphs and matrices’, Mat. Lapok 38 (1931), 116–119 (in Hungarian).
Harary, F.: Graph theory, Addison-Wesley, 1969.
Lewtn, M.: ‘Essential coverings of a matrix’, Proc. Cambridge Philos. Soc. 67 (1970), 263–267.
Wilson, RJ.: Introduction to graph theory, Longman, 1972, §27.
Walther, HJ.: Ten applications of graph theory, Reidel, 1984, Sect. 6.1.
kontorovich, M.I. and Lebedev, N.N.: ‘A method for the solution of problems in diffraction theory and related topics’, Zh. Eksper. i. Toer. Fiz. 8, no. 10–11 (1938), 1192–1206 (in Russian).
Kolmogorov, A.N.: ‘Sulla detenninizione empirica di una legge di distribuzione’, Giorn. 1st. Ital. Attuari 4 (1933), 83–91.
Smirnov, N.V.: ‘On estimating the discrepancy between empirical distribiution curves for two independent samples’, Byull. Moskov. Gos. Univ. Ser. A 2, no. 2 (1938), 3–14 (in Russian).
Bol‘shev, L.N.: ’Asymptotically Pearson transformations’, Theor. Probab. Appl. 8 (1963), 121–146. (Teor. Veroyatnost. Primenen. 8 (1963), 129–155)
Bol’shev, L.N. and Smirnov, N.V.: Tables of mathematical statistics, Libr. of mathematical tables, 46, Nauka, Moscow
Lebedev, N.N.: Dokl. Akad. Nauk SSSR 52, no. 5 (1945), 395–398.
Uflyand, Ya.S. and Yushkova, E.: Dokl. Akad Nauk SSSR 164, no. 1 (1965), 70–72.
Ditkin, V.A. and Prudnikov, A.P.: Integral transforms and operational calculus, Pergamon, 1965 (translated from the Russian).
Erdelyi, A., Magnus, W. and Oberhettinger, F.: Tables of integral transforms, 1–2, McGraw-Hill, 1954, Chapt. XII.
Sneddon, I.N.: The use of integral transforms, McGraw-Hill, 1972, Chapt. 6.
Fichera, G.: ‘Existence theorems in elasticity theory’, in Hondbuch der Physik, Vol. VIa/2, Springer, 1972, pp. 347–389.
Korteweg, D. and Vries, G. de: ‘On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves’, Phil Mag. 39 (1895), 422–443.
Gardner, C.S., Greene, J.M., Kruskal, M.D. [M.D. Krush-kal‘] and MruRA, R.M.: ’Method for solving the Korteweg-de Vries equation’, Phys. Rev. Letters 19 (1967), 1095–1097.
Zakharov, V.E and Faddeev, L.D.: ‘Korteweg—de Vries equation, a completely integrable Hamiltonian system’, Funct. Anal Appl 5 (1971), 280–287. (Funkt. Anal Prilozhen. 5, no. 4 (1971), 18–27)
Marchenko, V.A.: Spectral theory of Sturm—Liouville operators, Kiev, 1972.
Dubrovtn, B.A., Matveev, V.B. and Novmov, S.P.: ‘Nonlinear equations of Korteweg—de Vries type, finite-zone linear operators and Abelian varieties’, Russian Math. Surveys 31, no. 1 (1976), 59–146. (Uspekhi Mat. Nauk 31, no. 1 (1976), 55–136)
Kuntn, LA.: Theory of elastic media with a microstructure, Moscow, 1975 (in Russian).
Ablowitz, M.J. and Segur, H.: Solitons and the inverse scattering transform, SIAM, 1981.
Lamb, G.L.: Elements of soliton theory, Wiley, 1980.
Newell, A.C.: Solitons in mathematics and physics, SIAM, 1985.
Caligero, F. and Degasperis, A.: Spectral transform and solitons, 1. North-Holland, 1982.
Drtnfel‘d, V.G. and Sokolov, V.V.: ’Lie algebras and equations of Korteweg-de Vries type’. J. Soviet Math. 30 (1985), 1975–2005. (Itogi Nauk. i Tekhn. Sovrem. Probl. Mat. 24 (1984), 81–180)
Faddeev, L.D. and Takhtajan, L.A. [L.A. Takhtayan]: Hamiltonian methods in the theory of solitons, Springer, 1987 (translated from the Russian).
Takhtajan, LA. [LA. Takhtayan]: ‘Integrable models in classical and quantum field theory’, in Proc. Internal Congress Mathematicians Warszawa, 1983, PWN & North-Holland, 1984, pp. 1331–1346.
Toda, M.: Nonlinear waves and solitons, Kluwer, 1989.
Marchenko, VA.: Nonlinear equations and operator algebras, Reidel, 1988.
Novtkov, S., Manakov, S.V., Pttaevskit, L.P., Zakharov, V.E.: Theory of solitons, Consultants Bureau, 1984 (translated from the Russian).
Grothendieck, A.: Local cohomology, Lectures notes in math., 41, Springer, 1967.
Herzog, J. and Kunz, E. (eds.): Der kanonische Modul eines Cohen - Macaulay-Rings, Lecture notes in math., 238, Springer, 1971.
Matsumura, H.: Commutative algebra, Benjamin, 1970.
Northcott, D.G.: Lessons on rings, modules, and multiplicities, Cambridge Univ. Press, 1968.
Kotel‘ntkov, A.P.: Projective theory of vectors, Kazan’, 1899 (in Russian).
Study, E.: Geometrie der Dynomen, Teubner, 1903.
Rozenfel’d, B.A.: Non-Euclidean spaces, Moscow, 1969 (in Russian).
Krawtchouk, M.F.: ‘Sur une généralisation des polynômes d’Hermite’, C.R. Acad Sci. Paris 189 (1929), 620–622.
Szegö, G.: Orthogonalpolynomials, Amer. Math. Soc., 1975.
Lint, J.H. van: Introduction to coding theory, Springer, 1982.
Koornwinder, T.H.: ‘Krawtchouk polynomials, a unification of two different group theoretic interpretations’, SIAM J. Math. Anal. 13 (1982), 1011–1023.
Nikiforov, A.F. and Uvarov, V.B.: Special functions of mathematical physics, Birkhauser, 1988 (translated from the Russian).
Stanton, D.: ‘Orthogonal polynomials and Chevalley groups’, in R.A. Askey, T.H. Koornwinder and W. Schempp (eds.): Special functions: group theoretical aspects and applications, Reidel, 1984, pp. 87–128.
Azizov, T.Ya and Iokhvidov, I.S.: ‘Linear operators in spaces with indefinite metric and their applications’, Russian Math. Surveys 15 (1981), 438–490. (Itogi Nauk. i Tekhn. Mat. Anal. 17 (1979), 113–205)
Azizov, T.Ya and Iokhvidov, I.S.: Foundations of the theory of linear operators in spaces with indefinite metric, Moscow, 1986 (in Russian).
Ando, T.: Linear operators in Kreǐn spaces, Hokkaido Univ., 1979.
Bognár, J.: Indefinite inner product spaces, Springer, 1974.
Dalbtskiǐ, Yu.L. and Kreǐn, M.G.: Stability of solutions of differential equations in Banach space, Amer. Math. Soc., 1974 (translated from the Russian).
Dijksma, A., Langbr, H. and Snoo, H.S.V. de: ‘Unitary colligations in KreTn spaces and their role in the extension theory of isometries and symmetric linear relations in Hilbert spaces’, in S. Kurepa, et al. (ed.): Foundational analysis II, Lecture notes in math., Vol. 1247, Springer, 1987, pp. 1–42.
Dijksma, A., Langbr, H. and Snoo, H.S.V. de: ‘Symmetric Sturm-Liouville operators with eigenvalues depending boundary conditions’, in Oscillation, Bifurcations and Chaos, CMS Conf. Proc., Vol. 8, Amer. Math. Soc., 1987, pp. 87–116.
Gohberg, L, Lancaster, P. and Rodman, L.. Matrices and indefinite scalar products, Birkhauser, 1983.
Iohvidov, I.S. [I.S. Iokhvidov], Kreǐn, M.G. and Langer, H.: Introduction to the spectral theory of operators in spaces with an indefinite metric, Akad. Verlag, 1982.
IstraŢescu, V.I.: Inner product spaces. Theory and applications, Reidel, 1987.
Kreǐn, M.G.: ‘Introduction to the geometry of indefinite J-spaces and the theory of operators in these spaces’, in Second Math. Summer School, Vol. I, Kiev, 1965, pp. 15–92 (in Russian).
Kreǐn, M.G. and Langer, H.: ‘Ueber einige Fortsetzungsprobleme, die eng mit der Theorie hermitescher Operatoren im Raume πK zusammenhängen, I: Einige Funk-tionenklassen und ihre Darstellungen’, Math. Nachr. 77 (1977), 187–236.
Langer, H.: ‘Spectral functions of definitizable operators in Kreǐn spaces’, in D. Butković, et al. (ed.): Functional Analysis, Lecture notes in math., Vol. 948, Springer, 1982, pp. 1–46.
Langer, H.: ‘Invariante Teilräume definisierbarer J- selbstadjungierter Operatoren’, Ann. Acad. Sci. Fenn A. I 475(1971).
Milnor, J. and Husemoller, D.: Symmetric bilinear forms, Springer, 1973.
Phillips, R.S.: The extensions of dual subspaces invariant under an algebra’, in Proc. Internal Symp. Linear Spaces Jerusalem, 1960, Pergamon, 1961, pp. 366–398.
Bracci, L., Morchio, G. and Strocchi, F.: ‘Wigners theorem on symmetries in indefinite metric spaces’, Comm. Math. Phys. 41 (1975), 289–299.
Nagy, K.L.: State vector spaces with indefinite metric in quantum field theory, Noordhoff, 1966.
NaImark, MA and Ismagilov, R.S.: ‘Representations of groups and algebras in a space with indefinite metric’, Itogi Nauk. i Tekhn. Mat Anal. (1969), 73–105 (in Russian).
Kreǐn, M.G. and Langer, H.: ‘On some mathematical principles in the linear theory of damped oscillations of continua’, Integral Equations, Operator Theory 1 (1978), 364–399; 539–566. (Proc. Internal Symp. Appl. Theory of Functions in Continuum Mechanics, Tbilizi 2 (1963), 283–322)
Kripke, S.A.: ‘A completeness theorem in modal logic’, J. Symbolic Logic 24 (1959), 1–14.
Kripke, S.A.: The undecidability of monadic modal quantifi- cation theory’, Z Math. Logik Grundl Math. 8 (1962), 113–116.
Kripke, S.A.: ‘Semantical analysis of modal logic, I’, Z. Math. Logik Grundl. Math. 9 (1963), 67–96.
Kripke, SA: ‘Semantical analysis of modal logic, II’, in J.W. Addison, L. Henkin and A. Tarski (eds.): The theory of models, North-Holland, 1965, pp. 206–220.
SCHUTTE, K.: Vollstandige Systeme modaler und intuit ionis-tischer Logik, Springer, 1968.
Görnemann, S.: ‘A logic stronger than intuitionism’, J. Symbolic Logic 36 (1971), 249–261.
Cohen, P.J.: Set theory and the continuum hypothesis, Benjamin, 1966.
Goldblatt, R.I.: Topoi: the categorial analysis of logic, North-Holland, 1979.
Bell, J.L.: Toposes and local set theories, Oxford Univ. Press, 1988.
Dummett, MAE: Elements of intuitionism, Oxford Univ. Press, 1977.
Kripke, S.: ‘Semantical considerations on modal and intui-tionistic logic’, Acta Philos. Fennica 16 (1963), 83–94.
Kripke, SA: ‘Semantical analysis of intuitionistic logic, I’, in J.N. Crossley and M.A.E. Dummett (eds.): Formal systems and recursive functions, North-Holland, 1965, pp. 92–130.
Kronecker, L.: Vorlesungen iiber die Theorie der Determinant ten, Leipzig, 1903.
Capelli, A.: ‘Sopra la compatibility o incompatibility di piu equazioni di primo grado fra picl incognite’, Revista di Matematica 2 (1892), 54–58.
Kurosh, A.G.: Higher algebra, Mir, 1972 (translated from the Russian)
Kronecker, L.: ‘Ueber Systeme von Funktionen mehrer Vari- ablen. Erster Abhandlung’, Monatsberichte (1869), 159–193.
Kronecker, L.: ‘Ueber Systeme von Funktionen mehrer Vari- ables Zweite Abhandlung’, Monatsberichte (1869), 688–698.
Kronecker, L.: ‘Ueber Sturm’sche Funktionen’, Monatsberichte (1878), 95–121.
Chetaev, N.G.: Stability of motion, Moscow, 1946 (in Russian).
Poincaré, H.: ‘Mémoire sur les courbes définiés par une équation differentielle’, J. de Math. 7 (1881), 375–422.
Poincaré, H.: ‘Mémoire sur les courbes définiés par une équation differentielle’, J. de Math. 8 (1882), 251–296.
Poincaré, H.: ‘Mémoire sur les courbes définiés par une équation differentielle’, J. de Math. 1 (1885), 167–244.
Poincaré, H.: ‘Mémoire sur les courbes définiés par une équation differentielle’, J. de Math. 2 (1886), 151–217.
Hirsch, M.: Differential topology, Springer, 1976, unapt. 5, Sect. 3.
Kronecker, L.: ‘Grundzüge einer arithmetischen Theorie der algebraischen Grössen’, J. Reine Angew. Math. 92 (1882), 1–122.
Okunev, L.Ya.: Higher algebra, Moscow, 1937 (in Russian).
Kurosh, A.G.: Higher algebra, Mir, 1972 (translated from the Russian).
Waerden, B.L. van der: Algebra, 1–2, Springer, 1967–1971 (translated from the German).
Kronecker, L.: Vorlesungen iiber die Theorie der Determinan-ten, Leipzig, 1903.
Kronecker, L.: ‘Naherungsweise ganzzahlige Aufldsung linearer Gleichungen’, in Werke, Vol. 3, Chelsea, reprint, 1968, pp. 47–109.
Bourbaki, N.: Elements of mathematics. General topology, Addison-Wesley, 1966 (translated from the French).
Pontryagin, L.S.: Topological groups, Princeton Univ. Press, 1958 (translated from the Russian).
Hardy, G.H. and Wright, E.M.: An introduction to the theory of numbers, Oxford Univ. Press, 1979, Chapt. 23.
Cassels, J.W.S.: An introduction to diophantine approximation, Cambridge Univ. Press, 1957.
Krull, W.: ‘Algebraische Theorie der Ringe II’, Math. Ann. 91 (1924), 1–46.
Remak, R.: ‘Ueber die Zerlegung der endlichen Gruppen in direkte unzerlegbare Faktoren’, J. Reine Angew. Math. 139 (1911), 293–308.
Schmidt, O.J.: ‘Ueber unendliche Gruppen mit endlicher Kette’, Math. Z. 29 (1929), 34–41.
Kurosh, A.G.: The theory of groups, 1–2, Chelsea, 1955–1956 (translated from the Russian).
Lambek, J.: Lectures on rings and modules, Blaisdell, 1966.
Faith, C: Algebra: rings, modules and categories, 1–2, Springer, 1973–1976.
Itogi Nauk. i Tekhn. Algebra Topol. Geom. 14 (1976), 57–190.
Zariski, O. and Samuel, P.: Commutative algebra, 1, v. Nos- trand, 1958, Chapt. IV, §4–5.
Riley, JA.: Axiomatic primary and tertiary decomposition theory, 105, 1962, pp. 177–201.
Popescu, N.: Abelian categories with applications to rings and modules, Acad. Press, 1973, Chapt. V.
Krull, W.: ‘Allgemeine Bewertungstheorie’, J. Reine Angew. Math. 167 (1931), 160–196.
Zariski, O. and Samuel, P.: Commutative algebra, 2, Springer, 1975.
Bourbaki, N.: Elements of mathematics. Commutative algebra, Addison-Wesley, 1972 (translated from the French).
Fossum, R.: The divisor class group of a Krull domain, Springer, 1973.
Krylov, N.M. and Bogolyubov, N.N.: Méthodes approchées de la mécanique non-linéaire dans lews application à l’e‘tude de la perturbation des mouvements périodiques de divers phénomènes de resonance s’y rapport ant y Kiev, 1935.
Krylov, N.M. and Bogolyubov, N.N.: Introduction to nonlinear mechanics, Princeton Univ. Press, 1947 (translated from the Russian).
Bogolyubov, N.N.: On certain statistical methods in mathematical physics, Kiev, 1945 (in Russian).
Bogolyubov, N.N.: Sb. Tr. Inst. Stroitel Mekh. Akad Nauk SSSR 14 (1950), 9–34.
Bogolyubov, N.N. and Mitropol’skiǐ, Yu.A.: Asymptotic methods in the theory of nonlinear oscillations, Gordon & Breach, 1961 (translated from the Russian).
Mitropol’skiǐ, Yu.A.: The method of averaging in non-linear mechanics, Kiev, 1971 (in Russian).
Mitropol’skiǐ, Yu.A.: Nonstationary processes in non-linear oscillatory systems, ATIC-270579 F-9085/V, Qir Techn. Intell. Transl., 1961 (translated from the Russian).
Volosov, V.M.: Mechanics in the USSR during 50 years, Vol. 1, Moscow, 1968, pp. 115–135 (in Russian).
Hale, J.K.: Oscillations in nonlinear systems, McGraw-Hill, 1963.
Nayfeh, A.: Perturbation methods, Wiley, 1973, Sect. 5.2, 5.4.
Volosov, V.M.: ‘Averaging in systems of ordinary differential equations’, Russian Math. Surveys 7 (1962), 1–26. (Uspekhi Mat. NaukM, no. 6 (1962), 3–126)
Mttropolski, Yu.A.: Problems of the asymptotic theory of nonstationary vibrations, D. Davey, 1965 (translated from the Russian).
Flchtenholz, G.M.: Differential und Integralrechnung, 2, Deutsch. Verlag Wissenschaft., 1964.
Rainvtlle, E.D.: Infinite series, Macmillan, 1967.
Lang, S.: Algebra, Addison-Wesley, 1974.
Cassels, J.W.S. and Frohlich, A. (eds.): Algebraic number theory, Acad. Press, 1968.
Takahashi, S.: ‘Generation of Galois extensions by matrix roots’, J. Math. Soc. Japan 20, no. 1–2 (1968), 365–370.
Neukirch, J.: Class field theory, Springer, 1986, Chapt. 4, §4.
Hasse, H.: Vorlesungen über Zahlentheorie, Springer, 1950.
Davenport, H.: Multiplicative number theory, Springer, 1980.
Heath-Brown, D.R. and Patterson, S.I.: The distribution of Kummer sums at prime arguments’, J. Reine Angew. Math. 310(1979), 111–130.
Klein, F.: Development of mathematics in the 19th century, Math. Sci. Press, 1979 (translated from the German).
Hudson, R.W.H.T.: Kummer’s quartic surface, Cambridge, 1905.
Enriques, F.: Le superficie algebraiche, Bologna, 1949.
Barth, W., Peters, C. and Ven, A. van der: Compact complex surfaces, Springer, 1984.
Kummer, E.E.: ‘Zur Theorie der complexen Zahlen’, J. Reine Angew. Math. 35 (1847), 319–326.
Cassels, J.W.S. and Fröhuch, A. (eds.): Algebraic number theory, Acad. Press, 1986.
Weiss, E.: Algebraic number theory, McGraw-Hill, 1963, Sects. 4–9.
Fichtenholz, G.M.: Differential und Integralrechnung, 2, Deutsch. Verlag Wissenschaft., 1964.
Knopp, K.: Infinite sequences and series, Dover, reprint, 1956 (translated from the German).
Künneth, H.: ‘Ueber die Bettische Zahlen einer Produktman- nigfaltigkeit’, Math. Ann. 90 (1923), 65–85.
Künneth, H.: ‘Ueber die Torsionszahlen von Produktmannig- faltigkeiten’, Math. Ann. 91 (1924), 125–134.
Cartan, H. and Eilenberg, S.: Homological algebra, Princeton Univ. Press, 1956.
Dold, A.: Lectures on algebraic topology, Springer, 1980.
Spanier, E.H.: Algebraic topology, McGraw-Hill, 1966.
Attyah, M.F.: K-theory: lectures, Benjamin, 1967.
Kaup, L.: ‘Eine Künnethformel für Fréchetgarben’, Math. Z 97, no. 2 (1967), 158–168.
Grothendieck, A. and Dieudonné, J.: ‘Eléments de géometrie algébrique’, Publ. Math. IHES 17 (1963), Chapt. 3, Part 2.
Artin, M., et al. (eds.): Thiorie des topos et cohomologie etale des schimas, 3, Springer, 1973.
Sampson, J. and Washnttzer, G.: ‘A Kunneth formula for coherent algebraic sheaves’, Illinois J. Math. 3, no. 3 (1959), 389–402.
Conner, P.E. and Floyd, E.E.: Differentiable periodic maps, Springer, 1964.
Hartshorne, R.: Residues and duality, Springer, 1966.
Hodgkin, L.: The equivariant Kunneth theorem in K-theory, Lecture notes in math., 496, Springer, 1975.
Kuratowski, C: ‘Sur le problème des courbes gauches entopologie’, Fund Math. 15 (1930), 271–283.
Harary, F.: Graph theory, Addison-Wesley, 1969.
Bodendieck, R. and Wagner, K.: ‘A characterization of the minimal basis of the torus’, Combinatorics 6 (1986), 245–260.
Boland, J.Ch.: ‘Embedding of graphs into orientable surfaces’, Indag. Math. 70 (1967), 33–44.
Houg, J., Mehlkorn, K. and Rosenberg, A.L.: ‘Cost track-offs in graph embeddings, with applications’, J. Assoc. Comp. Machinery 30 (1983), 709–728.
Knaster, B. and Kuratowski, C: ‘Sur les ensembles connexes’, Fund Math. 2 (1921), 206–255.
Kuratowski, C: ‘Une application des images de fonctions à la construction de certains ensembles singuliers’, Mathematica 6 (1932), 120–123.
Aleksandrov, P.S. and Pasynkov, B.A.: Introduction to dimension theory, Moscow, 1973 (in Russian).
Engelktng, R.: Dimension theory, PWN & North-Holland, 1978, p. 19–50.
Sierpiński, W.: ‘Sur les ensembles connexes et non- connexes’, Fund. Math. 2 (1921), 81–95.
Mazurkiewicz, S.: ‘Sur les ensembles de dimension faibles’, Fund. Math. 13 (1929), 210–217.
Tomaszewski, B.: ‘On weakly n-dimensional spaces’, Fund. Math. 103(1979), 1–8.
Christiansen, J.: ‘Numerical solution of ordinary simultaneous differential equations of the 1st order using a method for automatic step change’, Numer. Math. 14 (1970), 317–324.
Lukehart, P.M.: ‘Algorithm 218. Kutta Merson’, Comm. Assoc. Comput. Mach. 6, no. 12 (1963), 737–738.
Fox, L.: Numerical solution of ordinary and partial differential equations, Pergamon, 1962.
Lance, G.N.: Numerical methods for high speed computers, Iliffe, 1960.
Butcher, J.C.: The numerical analysis of ordinary differential equations, Runge-Kutta and general linear methods, Wiley, 1987.
Dormand, J.R. and Prince, P.J.: ‘A family of embedded Runge-Kutta formulae’, J. Comp. Appl. Math. 6 (1980), 19–26.
Fehlberg, E.: ‘Classical fifth-, sixth-, seventh-, and eighth-order Runge—Kutta formulas with stepsize control’, NASA Techn. Rep. 287. Abstract in: Computing 4 (1969), 93–106.
Fehlberg, E.: ‘Low-order classical Runge-Kutta formulas with stepsize control and their application to some heat transfer problems’, NASA Techn. Rep. 315. Abstract in: Computing 6 (1969), 61–71.
Hairer, E., Norsett, S.P. and Wanner, G.: Solving ordinary differential problems, 1. Nonstiff problems, Springer, 1987.
Merson, R.H.: ‘An operational method for the study of integration processes’, in Proc. Symp. Data Processing, Weapons Res. Establ. Salisbury, 1957, pp. 110–125.
Fatunla, S.O.: Numerical methods for initial value problems in ordinary differential equations, Acad. Press, 1988.
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Vinogradov, I.M. (1990). K. In: Hazewinkel, M. (eds) Encyclopaedia of Mathematics. Encyclopaedia of Mathematics, vol 5. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5988-0_3
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