目录

●Preface to New Edition
Preface
Chapter 1.Topological Approach：Finite Dimensions
1.1. A Simple Remark
1.2. Sard's Theorem
1.3. Finite-Dimensional Degree Theory
1.4. Properties of Degree
1.5. Further Properties and Remarks
1.6. Some Applications to Nonlinear Equations
1.7. Borsuk's Theorem
1.8. Mappings in Different Dimensions
Chapter 2. Topological Degree in Banach Space
2.1. Schauder Fixed-Point Theorem
2.2. An Application
2.3. Leray-Schauder Degree
2.4. Some Compact Operators
2.5. Elliptic Partial Differential Equations
2.6. Mildly Nonlinear Perturbations of Linear Operators
2.7. Calculus in Banach Space
2.8. The Leray-Schauder Degree for Isolated Solutions, the Index
Chapter 3. Bifurcation Theory
3.1. The Morse Lemma
3.2. Application of the Morse Lemma
3.3. Krasnoselski's Theorem
3.4. A Theorem of Rabinowitz
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