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Bulletin of the American Mathematical Society

The Bulletin publishes expository articles on contemporary mathematical research, written in a way that gives insight to mathematicians who may not be experts in the particular topic. The Bulletin also publishes reviews of selected books in mathematics and short articles in the Mathematical Perspectives section, both by invitation only.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.84.

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Book Review

The AMS does not provide abstracts of book reviews. You may download the entire review from the links below.

Full text of review: PDF   This review is available free of charge.
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?)

  • 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 10.1016/0315-0860(84)90036-3
  • 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, Akadémiai Kiadó, Budapest, 1960 (French). (Title also in Hungarian and German); Publiées sur l’ordre de l’Académie des Sciences de Hongrie par Ákos Császár. 2 Vols. 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, DOI 10.1007/978-1-4612-5020-3

  • Review Information:

    Reviewer: Erwin Kreyszig
    Affiliation: Carleton University
    Journal: Bull. Amer. Math. Soc. 33 (1996), 403-407
    Review copyright: © Copyright 1996 American Mathematical Society