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Nonlinear Functional Analysis - Rong Yuan

Nonlinear Functional Analysis

eBook | 3 June 2026

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This book mainly provides the basic theories and methods of nonlinear functional analysis. The content includes Frechet 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.

Readership: Senior undergraduate students and graduate students studying nonlinear problems.

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Non-Fiction Mathematics Calculus & Mathematical Analysis Functional Analysis & Transforms