Abstract
The mathematics department in Lund has a rather large collection of mathematical models dating from the end of the 19th century. For many years they were carelessly stored in crates in the air raid shelters in the basement and many show signs of this treatment.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
[AS] M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions, National Bureau of Standards, 1964.
[A] V. I. Arnol’d, Normal forms for functions near degenerate critical points, the Weyl groups of A k , D k , E k and Lagrangian singularities, Functional Anal. Appl. 6 (1972), 254–272.
[B] E. Bour, Théorie de la déformation des surfaces, Journal de l’École Polytechnique 22 (1861–62), 1–148.
[De] Ch. Delauney, Sur la surface de révolution dont la courbure moyenne est constante, J. Math. Pures Appl. 6 (1841), 309–315.
[Dy] W. Dyck, Einleitender Bericht über die Mathematische Ausstellung in München, Jahresber. Deutsch. Math.-Verein. 3 (1892–93), 39–56.
[DHKW] U. Dierkes, S. Hildebrandt, A. Küster, O. Wohlrab, Minimal Surfaces I, Springer Verlag, 1991.
[FC] G. Fischer, Mathematical Models. Commentary, Vieweg Verlag, 1986.
[FP] G. Fischer, Mathematische Modelle. Mathematical Models, Vieweg Verlag, 1986.
[F] F. G. Friedlander, Simple progressive solutions of the wave equation, Proc. Cambridge Phil. Soc. 43 (1947), 360–373.
[G] E. Goursat, Étude des surfaces qui admettent tous les plans de symétrie d’un polyèdre régulier, Ann. Sci. École Norm. Sup. 4 (1887), 159–200.
[GH] P. Griffiths and J. Harris, Principles of algebraic geometry, John Wiley & Sons, 1978.
[H] R. W. H. T. Hudson, Kummer’s quartic surface, Cambridge University Press, 1905.
[Kl1] F. Klein, Gesammelte Mathematische Abhandlungen I, II, Springer Verlag, 1921–1922.
[Kl2] F. Klein, Vorlesungen über die Entwicklung der Mathematik im 19. Jahrhundert I, Springer Verlag, 1926.
[Ku] E. E. Kummer, Gesammelte Abhandlungen II, Springer Verlag,
[M] J. Mather, Stability of C∞ mappings, III: Finitely determined map-germs, Publ. Math. IHES No 35 (1968), 127–156.
[Me] W. Fr. Meyer, Flächen Dritter Ordnung, Enc. d. math. Wiss. III 2.II.B, pp. 1437–1531; Spezielle algebraische Flächen, pp. 1533–1779.
[MOS] W. Magnus, F. Oberhettinger and R. P. Soni, Formulas and Theorems for the Special Functions of Mathematical Physics, Springer Verlag, 1966.
[N] J. C. C. Nitsche, Vorlesungen über Minimalflächen, Springer Verlag, 1975.
[R] M. Riesz, A special characteristic surface — a new relativistic model for a particle?, Collected works, Springer Verlag, 1988, pp. 848–858.
[Ro] K. Rohn, Die verschiedenen Gestalten der Kummer’schen Fläche, Math. Ann. 18 (1881), 99– 159.
[Sc] H. A. Schwarz, Gesammelte Mathematische Abhandlungen, Springer Verlag, 1890.
[St] M. Sturm, Note à l’occasion de l’article précédent, J. Math. Pures Appl. 6 (1841), 315–320.
[T] J. C. Tougeron, Idéaux de fonctions différentiables. I., Ann. Inst. Fourier 18 (1968), 177–240.
[YTM] R. Diesel et al., Ytmodellerna, A collection of catalogs and descriptions of the models in the section “Allmänt” of the library.
[Z] Konrad Zindler, Algebraische Liniengeometrie, Enc. d. math. Wiss. III 2.IIA, pp. 973–1228.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Copyright information
© 2018 Springer International Publishing AG, part of Springer Nature
About this chapter
Cite this chapter
Hörmander, L. (2018). Guide To The Mathematical Models At The Department Of Mathematics In Lund. In: Unpublished Manuscripts . Springer, Cham. https://doi.org/10.1007/978-3-319-69850-2_22
Download citation
DOI: https://doi.org/10.1007/978-3-319-69850-2_22
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-69849-6
Online ISBN: 978-3-319-69850-2
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)