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Applied Functional Analysis
     

Applied Functional Analysis

by Jean-Pierre Pierre Aubin
 

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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

Overview

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.

Editorial Reviews

Booknews
Aubin (University of Paris) introduces functional analysis through the simple Hilbertian structure, and blends pure mathematics with applied areas that illustrate the theory through examples from systems theory, calculus of variations, control and optimization theory, and non- smooth analysis. The second edition adds chapters on set-valued analysis and convex analysis, viability kernels and capture basins, and first-order partial differential equations. Annotation c. Book News, Inc., Portland, OR (booknews.com)
From the Publisher
“…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)

Product Details

ISBN-13:
9780471021490
Publisher:
Wiley, John & Sons, Incorporated
Publication date:
10/01/1979
Series:
Pure and Applied Mathematics Series
Pages:
423

What People are Saying About This

From the Publisher
“…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)

Meet the Author

JEAN-PIERRE AUBIN, PhD, is a professor at the Université Paris-Dauphine in Paris, France. A highly respected member of the applied mathematics community, Jean-Pierre Aubin is the author of sixteen mathematics books on numerical analysis, neural networks, game theory, mathematical economics, nonlinear and set-valued analysis, mutational analysis, and viability theory.

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