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The Foundations of Topological Analysis: A Straightforward Introduction : Book 2 Topological Ideas - K. G. Binmore

The Foundations of Topological Analysis: A Straightforward Introduction

Book 2 Topological Ideas

Paperback

Published: 6th July 1981
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This book is an introduction to the ideas from general topology that are used in elementary analysis. It is written at a level that is intended to make the bulk of the material accessible to students in the latter part of their first year of study at a university or college although students will normally meet most of the work in their second or later years. The aim has been to bridge the gap between introductory books like the author's Mathematical Analysis: A Straightforward Approach, in which carefully selected theorems are discussed at length with numerous examples, and the more advanced book on analysis, in which the author is more concerned with providing a comprehensive and elegant theory than in smoothing the ways for beginners. An attempt has been made throughout not only to prepare the ground for more advanced work, but also to revise and to illuminate the material which students will have met previously but may have not fully understood.

Introduction
Distance
Open and closed sets (I)
Open and closed sets (II)
Continuity
Connected sets
Cluster points
Compact sets (I)
Compact Sets (II)
Topology
Limits and continuity (I)
Limits and continuity (II)
Points at infinity
Sequences
Oscillation
Completeness
Series
Infinite sums
Separation in R n
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521299305
ISBN-10: 0521299306
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 264
Published: 6th July 1981
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.86 x 15.24  x 1.52
Weight (kg): 0.39