Topological Analysis
About this book
Topological analysis consists of those basic theorems of analysis which are essentially topological in character, developed and proved entirely by topological and pseudotopological methods. The objective of this volume is the promotion, encouragement, and stimulation of the interaction between topology and analysis-to the benefit of both.
Originally published in 1964.
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Information
Table of contents
- Cover
- Table of Contents
- Preface to the Second Edition
- Preface to the First Edition
- Introduction
- I. Introductory Topology
- II. Mappings
- III. Plane Topology
- IV. Complex Numbers. Functions of a Complex Variable
- V. Topological Index
- VI. Differentiable Functions
- VII. Degree. Zeros. Sequences
- VIII. Open Mappings. Local Analysis
- IX. Global Analysis
- Appendix. Topological Background for the Maximum Principle
- Bibliography
- Supplement to Bibliography
- Index
