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.
|Introduction: Topological Background|
|Metric Spaces||p. 1|
|Transfinite Sequences||p. 62|
|Completeness, Cofinal Completeness and Uniform Paracompactness||p. 83|
|Fundamental Constructions||p. 110|
|Measure and Integration||p. 229|
|Haar Measure in Uniform Spaces||p. 264|
|Uniform Measures||p. 284|
|Spaces of Functions||p. 317|
|Uniform Differentiation||p. 370|
|Table of Contents provided by Blackwell. All Rights Reserved.|
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