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Nonlinear Functional Analysis
Hardcover
ISBN13: 9789819825813
Publisher: Wsp/Hep
Published: Jun 19 2026
Pages: 210
Weight: 1.31
Height: 0.75 Width: 6.00 Depth: 9.00
Language: English
This book mainly provides the basic theories and methods of nonlinear functional analysis. The content includes Fréchet differentiation, the implicit function theorem, bifurcation problems, Brouwer degree, Leray-Schauder degree, fixed point theorems, topological degree of cone mappings, the global bifurcation theorem, extremum principles, Ekeland's variational principle, the minimax principle, index, and category.
It consists of three chapters: Nonlinear Operators on Banach Spaces, Topological Degree Theory, and Variational Methods. Some examples are given to explain the applications of these theories, and each chapter contains exercises.
This is a textbook for graduate students and senior undergraduate students.
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