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Book synopsis

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.

Book details

Book category Books in German Naturwissenschaften, Medizin, Informatik, Technik Mathematik Wahrscheinlichkeitstheorie, Stochastik, Mathematische

• Full title: Nonlinear Functional Analysis
• Author: Yuan, Rong (Beijing Normal University, China)
• Language: English
• Binding: Hardback
• Number of pages: 210
• EAN: 9789819825813
• ISBN: 9819825814
• ID: 50261562
• Publisher: World Scientific Publishing Company
• Weight: 593 g
• Date of publishing: 15. June 2026

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