Applied Functional Analysis

Jean-Pierre Aubin

ISBN 10: 0471179760 / ISBN 13: 9780471179764

Editore: John Wiley & Sons Inc, 2000

A novel, practical introduction to functional analysis In the twenty years since the first edition of Applied Functional Analysis was published, there has been an explosion in the number of books on functional analysis. Yet none of these offers the unique perspective of this new edition. Series: Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts. Num Pages: 520 pages, Ill. BIC Classification: PBKF. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 237 x 164 x 40. Weight in Grams: 914. . 2000. 2nd Edition. Hardcover. . . . . Codice articolo V9780471179764

Riassunto:

A novel, practical introduction to functional analysis

In the twenty years since the first edition of Applied Functional Analysis was published, there has been an explosion in the number of books on functional analysis. Yet none of these offers the unique perspective of this new edition. Jean-Pierre Aubin updates his popular reference on functional analysis with new insights and recent discoveries-adding three new chapters on set-valued analysis and convex analysis, viability kernels and capture basins, and first-order partial differential equations. He presents, for the first time at an introductory level, the extension of differential calculus in the framework of both the theory of distributions and set-valued analysis, and discusses their application for studying boundary-value problems for elliptic and parabolic partial differential equations and for systems of first-order partial differential equations.

To keep the presentation concise and accessible, Jean-Pierre Aubin introduces functional analysis through the simple Hilbertian structure. He seamlessly blends pure mathematics with applied areas that illustrate the theory, incorporating a broad range of examples from numerical analysis, systems theory, calculus of variations, control and optimization theory, convex and nonsmooth analysis, and more. Finally, a summary of the essential theorems as well as exercises reinforcing key concepts are provided. Applied Functional Analysis, Second Edition is an excellent and timely resource for both pure and applied mathematicians.

Recensione: "...full of interesting and/or amazing comments...an original and valuable contribution to functional analysis..." (Bulletin of The Belgian Mathematical Society, Vol.11, No.4, 2004)
 
"Reflects author's background in numerical analysis, partial differential equations, and mathematical economics.... Good exercises." (American Mathematical Monthly, November 2001)
 
"The second edition has made some additions and some deletions..." (Zentralblatt MATH, Vol. 946, No. 21)

"Reflects author's background in numerical analysis, partial differential equations, and mathematical economics.... Good exercises." (American Mathematical Monthly, November 2001)
 
"The second edition has made some additions and some deletions..." (Zentralblatt MATH, Vol. 946, No. 21)

Dati bibliografici

Titolo: Applied Functional Analysis
Casa editrice: John Wiley & Sons Inc
Data di pubblicazione: 2000
Legatura: Rilegato
Condizione: New
Edizione: prima edizione