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Table of contents (33 chapters)
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Front Matter
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Distributions
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Front Matter
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Keywords
About this book
Physics has long been regarded as a wellspring of mathematical problems. Mathematical Methods in Physics is a self-contained presentation, driven by historic motivations, excellent examples, detailed proofs, and a focus on those parts of mathematics that are needed in more ambitious courses on quantum mechanics and classical and quantum field theory. Aimed primarily at a broad community of graduate students in mathematics, mathematical physics, physics and engineering, as well as researchers in these disciplines.
Reviews
"This text is a translated, considerably revised and extended version of the book Distributionen und Hilbertraumoperatoren: Mathematische Methoden der Physik.... The book is written in a very nice and understandable form and addresses mainly students with interest in the interaction between physics and mathematics."
—Mathematica Bohemica
". . . [This] English version has been considerably revised and extended in order to improve the usefulness for students of physics and mathematics alike. For instance, proofs are now more detailed. Many added examples illustrate abstract mathematical concepts. Exercises were included to improve the skill of beginners. Some of these exercises hint to physical problems arising either in quantum mechanics or field theory. . . . Notably, there is one chapter at the end, dealing exclusively with physics applications, the density functional theory of atoms and molecules due to Hohenberg, Kohn, and Sham. In my view this is a nice way to illustrate the calculus of variations. . . . the book is self-contained, the only prerequisites being a solid background in analysis and linear algebra."
—Zentralblatt Math
"...many very nice and useful examples and applications are provided." ---Monatshefte für Mathematik
Authors and Affiliations
Bibliographic Information
Book Title: Mathematical Methods in Physics
Book Subtitle: Distributions, Hilbert Space Operators, and Variational Methods
Authors: Philippe Blanchard, Erwin Brüning
Series Title: Progress in Mathematical Physics
DOI: https://doi.org/10.1007/978-1-4612-0049-9
Publisher: Birkhäuser Boston, MA
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eBook Packages: Springer Book Archive
Copyright Information: Springer Science+Business Media New York 2003
Hardcover ISBN: 978-0-8176-4228-0Published: 04 October 2002
Softcover ISBN: 978-1-4612-6589-4Published: 23 October 2012
eBook ISBN: 978-1-4612-0049-9Published: 06 December 2012
Series ISSN: 1544-9998
Series E-ISSN: 2197-1846
Edition Number: 1
Number of Pages: XXIII, 471
Topics: Functional Analysis, Applications of Mathematics, Physics, general, Operator Theory, Optimization, Mathematical Methods in Physics