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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Table of Contents
- Frontmatter, pg. i
- Preface to the Second Edition, pg. v
- Preface to the First Edition, pg. vi
- Introduction, pg. vii
- Table of Contents, pg. xi
- Chapter I. Introductory Topology, pg. 1
- Chapter II. Mappings, pg. 20
- Chapter III. Plane Topology, pg. 29
- Chapter IV. Complex Numbers. Functions of a Complex Variable, pg. 41
- Chapter V. Topological Index, pg. 56
- Chapter VI. Differentiable Functions, pg. 72
- Chapter VII. Degree. Zeros. Sequences, pg. 83
- Chapter VIII. Open Mappings. Local Analysis, pg. 91
- Chapter IX. Global Analysis, pg. 103
- Appendix. Topological Background for the Maximum Principle, pg. 111
- Bibliography, pg. 119
- Supplement to Bibliography, pg. 121
- Index, pg. 123