Linear and Nonlinear Functional Analysis with Applications

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Linear and Nonlinear Functional Analysis with Applications is written by Philippe G. Ciarlet and published by SIAM. It's available with International Standard Book Number or ISBN identification 1611972582 (ISBN 10) and 9781611972580 (ISBN 13).

This single-volume textbook covers the fundamentals of linear and nonlinear functional analysis, illustrating most of the basic theorems with numerous applications to linear and nonlinear partial differential equations and to selected topics from numerical analysis and optimization theory. This book has pedagogical appeal because it features self-contained and complete proofs of most of the theorems, some of which are not always easy to locate in the literature or are difficult to reconstitute. It also offers 401 problems and 52 figures, plus historical notes and many original references that provide an idea of the genesis of the important results, and it covers most of the core topics from functional analysis.