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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, $65.00$

References [Enhancements On Off] (What's this?)

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  • 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
Journal: Bull. Amer. Math. Soc. 33 (1996), 403-407
DOI: https://doi.org/10.1090/S0273-0979-96-00672-6
Review copyright: © Copyright 1996 American Mathematical Society