Synopsis
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.
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Review
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)
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)
About 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.
"About this title" may belong to another edition of this title.
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Applied Functional Analysis (Pure & Applied Mathematics)
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Condition: Very Good. TEXT IN ENGLISH. First edition, first printing, 442 pp., faint age-toning to page edges else very good in a chipped and worn dust jacket. - If you are reading this, this item is actually (physically) in our stock and ready for shipment once ordered. We are not bookjackers. Buyer is responsible for any additional duties, taxes, or fees required by recipient's country. Seller Inventory # ZB1325621
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Applied Functional Analysis (Pure & Applied Mathematics S.)
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Applied Functional Analysis (Pure & Applied Mathematics S.)
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John Wiley & Sons Inc, 1979
ISBN 10: 0471021490
ISBN 13: 9780471021490
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Applied Functional Analysis (Pure & Applied Mathematics S.)
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Cloth. Condition: Good. Dust Jacket Condition: Good. Type: Book N.B. Small plain label to inside front cover. Annotation to index. Spotting to inside D/J. Rubbing to edges and corners of D/J with several small tears. Seller Inventory # 054991