
Applied Functional Analysis
Jean-Pierre Aubin(Author)
Wiley (Publisher)
2nd Edition
Published on 15. February 2000
Book
Hardback
XX, 500 pages
978-0-471-17976-4 (ISBN)
Description
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.
Reviews / Votes
"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)More details
Product info
gebunden
Series
Edition
2. Auflage
Language
English
Place of publication
United States
Publishing group
John Wiley & Sons Inc
Target group
Professional and scholarly
Edition type
New edition
Product notice
sewn/stitched
Cloth over boards
Dimensions
Height: 240 mm
Width: 161 mm
Thickness: 32 mm
Weight
941 gr
ISBN-13
978-0-471-17976-4 (9780471179764)
Schweitzer Classification
Other editions
Additional editions

Jean-Pierre Aubin
Applied Functional Analysis
E-Book
09/2011
2nd Edition
Wiley
€187.99
Available for download
Previous edition
Jean-Pierre Aubin | Bernard Cornet | Jean Michel Lasry
Applied Functional Analysis
Book
01/1980
Wiley
€58.81
Article exhausted; check for reprint
Person
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.
Content
The Projection Theorem.
Theorems on Extension and Separation.
Dual Spaces and Transposed Operators.
The Banach Theorem and the Banach-Steinhaus Theorem.
Construction of Hilbert Spaces.
L¯2 Spaces and Convolution Operators.
Sobolev Spaces of Functions of One Variable.
Some Approximation Procedures in Spaces of Functions.
Sobolev Spaces of Functions of Several Variables and the Fourier Transform.
Introduction to Set-Valued Analysis and Convex Analysis.
Elementary Spectral Theory.
Hilbert-Schmidt Operators and Tensor Products.
Boundary Value Problems.
Differential-Operational Equations and Semigroups of Operators.
Viability Kernels and Capture Basins.
First-Order Partial Differential Equations.
Selection of Results.
Exercises.
Bibliography.
Index.