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Modern Analysis and Topology : Universitext - Norman R. Howes

Modern Analysis and Topology

Universitext

Paperback

Published: 23rd June 1995
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The purpose of this book is to provide an integrated development of modern analysis and topology through the integrating vehicle of uniform spaces. The reader should have taken an advanced calculus course and an introductory topology course. It is intended that a subset of the book could be used for an upper-level undergraduate course whereas much of the full text would be suitable for a one-year graduate class.
An attempt has been made to document the history of all the central ideas and references and historical notes are embedded in the text. These can lead the interested reader to the foundational sources where these ideas emerged.

Preface
Introduction: Topological Background
Metric Spacesp. 1
Uniformitiesp. 43
Transfinite Sequencesp. 62
Completeness, Cofinal Completeness and Uniform Paracompactnessp. 83
Fundamental Constructionsp. 110
Paracompactificationsp. 156
Realcompactificationsp. 202
Measure and Integrationp. 229
Haar Measure in Uniform Spacesp. 264
Uniform Measuresp. 284
Spaces of Functionsp. 317
Uniform Differentiationp. 370
Indexp. 394
Table of Contents provided by Blackwell. All Rights Reserved.

ISBN: 9780387979861
ISBN-10: 0387979867
Series: Universitext
Audience: General
Format: Paperback
Language: English
Number Of Pages: 444
Published: 23rd June 1995
Publisher: Springer-Verlag New York Inc.
Country of Publication: US
Dimensions (cm): 23.32 x 15.52  x 2.44
Weight (kg): 0.64