American Mathematical Society

Book Review

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Book Information:

Author: Eberhard Zeidler
Title: Applied functional analysis (Applications to mathematical physics)
Additional book information: Appl. Math. Sci., vol. 108, Springer-Verlag, New York, 1995, xxix + 479 pp., ISBN 0-387-94442-7, $65.00$

A. V. Balakrishnan, Applied functional analysis, 2nd ed., Applications of Mathematics, vol. 3, Springer-Verlag, New York-Berlin, 1981. MR 612793

S. Banach, Théorie des opérations linéaires, Chelsea, New York, 1932.

Garrett Birkhoff and Erwin Kreyszig, The establishment of functional analysis, Historia Math. 11 (1984), no. 3, 258–321 (English, with French and German summaries). MR 765342, DOI https://doi.org/10.1016/0315-0860%2884%2990036-3

N. Bourbaki, Éléments de mathématique, Hermann, Paris, 1939–40.

Nelson Dunford and Jacob T. Schwartz, Linear Operators. I. General Theory, Pure and Applied Mathematics, Vol. 7, Interscience Publishers, Inc., New York; Interscience Publishers, Ltd., London, 1958. With the assistance of W. G. Bade and R. G. Bartle. MR 0117523

F. Hausdorff, Grundzüge der Mengenlehre, Teubner, Leipzig, 1914.

D. Hilbert, Grundzüge einer allgemeinen Theorie der linearen Integralgleichungen, Chelsea, New York, 1912.

V. Hutson and J. S. Pym, Applications of functional analysis and operator theory, Mathematics in Science and Engineering, vol. 146, Academic Press, Inc. [Harcourt Brace Jovanovich, Publishers], New York-London, 1980. MR 569354

Gottfried Köthe, Topological vector spaces. I, Die Grundlehren der mathematischen Wissenschaften, Band 159, Springer-Verlag New York Inc., New York, 1969. Translated from the German by D. J. H. Garling. MR 0248498

Erwin Kreyszig, Introductory functional analysis with applications, Wiley Classics Library, John Wiley & Sons, Inc., New York, 1989. MR 992618

Frigyes Riesz, Oeuvres complètes, Publiées sur l’ordre de l’Académie des Sciences de Hongrie par Ákos Császár. 2 Vols. Akadémiai Kiadó, Budapest, 1960 (French). (Title also in Hungarian and German). MR 0124155

M. H. Stone, Linear transformations in Hilbert space and their applications to analysis, Amer. Math. Soc., Providence, RI, 1932.

J. Von Neumann, Mathematische Grundlagen der Quantenmechanik, Springer, Berlin, 1932.

K. Yosida, Functional analysis, 3rd ed., Springer, New York, 1971.

Eberhard Zeidler, Nonlinear functional analysis and its applications. III, Springer-Verlag, New York, 1985. Variational methods and optimization; Translated from the German by Leo F. Boron. MR 768749

Review Information:

Reviewer: Erwin Kreyszig
Affiliation: Carleton University
Email: mathstat@carleton.ca