Abstract
The chapter on functional analysis is arranged so that when any concept of functional analysis is needed at a particular place, its definition can always be found beforehand.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
Functional analysis
N. I. Akhizer and I. M. Glazman, Theory of linear operators in Hilbert space (translated from the Russian), Ungar, New York, 1963.
L. Collatz, Functional analysis and numerical mathematics (translated from the German), Academic Press, New York-London, 1966.
N. Dunford and J. T. Schwarz, Linear operators, Interscience, New York-London, 1958.
L. V. Kantorovich and G. P. Akilov, Functional analysis in normed spaces (translated from the Russian), Pergamon, Oxford, 1964.
M. A. Krasnosel’skii, G. M. Vainikko, P. P. Zabreiko, Ya. B. Rutitskii and V. Ya. Stetsenko, Approximate solution of operator equations (translated from the Russian), Wolters-Noordhoff, Groningen, 1972.
L. A. Lyusternik and V. J. Sobolev, Elements for functional analysis (translated from the Russian), Ungar, New York, 1961.
M. A. Naimark, Normed algebras (translated from the Russian), 2nd ed., Wolters-Noordhoff, Groningen, 1972.
F. Riesz and B. Sz.-Nagy, Functional analysis (translated from the French), Blackie, London-Glasgow, 1956.
V. I. Smirnov, A course of higher mathematics (translated from the Russian), vol. 5, Pergamon, Oxford, 1964.
M. Fisz, Probability theory and mathematical statistics (translated from the Polish), Wiley, New York-London, 1963.
P. R. Halmos, Measure theory, Van Nostrand Reinhold, New York-London, 1950.
M. E. Munroe, Introduction to measure and integration, Addison-Wesley, Cambridge, MA, 1953.
I. P. Natanson, Theory of functions of a real variable (translated from the Russian), Ungar, New York, 1970.
A. Rényi, Probability theory (translated from the Hungarian), North-Holland, Amsterdam-London, 1970.
E. C. Titchmarsh, The theory of functions, Oxford University Press, Oxford, 1932.
J. H. Williamson, Lebesgue integration, Holt, Rinehart and Winston, New York, 1962.
A. C. Zaanen, An introduction to the theory of integration, North-Holland, Amsterdam-London, 1958.
R. M. Bowen and C.-C. Wang, Introduction to vectors and tensors, vol. 2, Plenum Press, New York-London, 1976.
L. P. Eisenhart, An introduction to differential geometry, Princeton University Press, Princeton, NJ, 1940.
A. E. Green and W. Zerna, Theoretical elasticity, Oxford University Press, Oxford, 1954.
W. V. D. Hodge, The theory and applications of harmonic integrals, Cambridge University Press, Cambridge, 1941.
D. F. Lawden, An introduction to tensor calculus and relativity, Methuen, London, 1962.
I. S. Sokolnikoff, Tensor analysis, theory and applications to geometry and mechanics of continua, 2nd ed., Wiley, New York-London, 1964.
B. Spain, Tensor calculus, Oliver and Boyd, Edinburgh-London, 1953.
R. C. Tolman, Relativity, thermodynamics, and cosmology, Oxford University Press, Oxford, 1934.
C. E. Weatherburn, An introduction to Riemannian geometry and the tensor calculus, Cambridge University Press, Cambridge, 1938.
T. J. Willmore, An introduction to differential geometry, Oxford University Press, Oxford, 1959.
E. C. Young, Vector and tensor analysis, Marcel Dekker, New York, 1978.
J. A. Cochran, The analysis of linear integral equations, McGraw-Hill, New York-London, 1972.
L. V. Kantorovich and V. I. Krylov, Approximate methods of higher analysis (translated from the Russian), Noordhoff, Groningen, 1958.
S. G. Mikhlin, Integral equations and their application to problems in mechanics, mathematical physics and technology (translated from the Russian), Pergamon, Oxford, 1957.
S. G. Mikhlin and K. L. Smolitskii, Approximate methods for the solution of differential and integral equations (translated from the Russian), Elsevier, New York, 1967.
V. I. Smirnov, A course of higher mathematics (translated from the Russian), vol. 4, Pergamon, Oxford, 1964.
Rights and permissions
Copyright information
© 1998 Springer-Verlag Berlin Heidelberg
About this chapter
Cite this chapter
Bronshtein, I.N., Semendyayev, K.A. (1998). Analysis. In: Handbook of Mathematics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-21982-9_8
Download citation
DOI: https://doi.org/10.1007/978-3-662-21982-9_8
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-662-21984-3
Online ISBN: 978-3-662-21982-9
eBook Packages: Springer Book Archive