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. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.
By:
Gordon Thomas Whyburn
Imprint: Princeton University Press
Country of Publication: United States
Volume: 2383
Dimensions:
Height: 235mm,
Width: 152mm,
Spine: 10mm
Weight: 369g
ISBN: 9780691651415
ISBN 10: 0691651418
Series: Princeton Legacy Library
Pages: 138
Publication Date: 28 June 2016
Audience:
College/higher education
,
Professional and scholarly
,
Primary
,
Undergraduate
Format: Hardback
Publisher's Status: Active
*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