Applied Functional Analysis

Aubin, Jean-Pierre

ISBN 10: 0471179760 / ISBN 13: 9780471179764

Verlag: Wiley-Interscience, 2000

Beschreibung

Bestandsnummer des Verkäufers I-9780471179764

Bibliografische Details

• Titel: Applied Functional Analysis
• Verlag: Wiley-Interscience
• Erscheinungsjahr: 2000
• Sprache: Englisch
• ISBN-10: 0471179760
• ISBN-13: 9780471179764
• Einband: Hardcover
• Auflage: 2. Auflage
• Zustand: New

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

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.