Description

Book Synopsis

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. Original



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

Topological Analysis

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    A Paperback / softback by Gordon Thomas Whyburn

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      Book details

      Publisher Princeton University Press
      Published 8 December 2015
      ISBN-13 9780691624891
      978-0691624891
      ISBN-10 0691624895

      Description

      Book Synopsis

      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. Original



      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

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