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An Introduction to Analysis
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Catalogue Information
Field name
Details
Dewey Class
515
Title
An Introduction to Analysis ([EBook]) / by Arlen Brown, Carl Pearcy.
Author
Brown, Arlen. , 1926-
Added Personal Name
Pearcy, Carl
Other name(s)
SpringerLink (Online service)
Publication
New York, NY : Springer , 1995.
Physical Details
VII, 300 p. : online resource.
Series
Graduate texts in mathematics
0072-5285 ; ; 154
ISBN
9781461207870
Summary Note
As its title indicates, this book is intended to serve as a textbook for an introductory course in mathematical analysis. In preliminary form the book has been used in this way at the University of Michigan, Indiana University, and Texas A&M University, and has proved serviceable. In addition to its primary purpose as a textbook for a formal course, however, it is the authors' hope that this book will also prove of value to readers interested in studying mathematical analysis on their own. Indeed, we believe the wealth and variety of examples and exercises will be especially conducive to this end. A word on prerequisites. With what mathematical background might a prospective reader hope to profit from the study of this book? Our con scious intent in writing it was to address the needs of a beginning graduate student in mathematics, or, to put matters slightly differently, a student who has completed an undergraduate program with a mathematics ma jor. On the other hand, the book is very largely self-contained and should therefore be accessible to a lower classman whose interest in mathematical analysis has already been awakened.:
Contents note
1 The rudiments of set theory -- 2 Number systems -- 3 Linear analysis -- 4 Cardinal numbers -- 5 Ordinal numbers -- 6 Metric spaces -- 7 Continuity and limits -- 8 Completeness and compactness -- 9 General topology.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site
http://dx.doi.org/10.1007/978-1-4612-0787-0
Links to Related Works
Subject References:
Analysis
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Analysis (Mathematics)
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Mathematical analysis
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Mathematics
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Authors:
author
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Brown, Arlen. 1926-
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Brown, Arlen, 1926-
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Pearcy, Carl
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Corporate Authors:
SpringerLink (Online service)
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Series:
Graduate texts in mathematics
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GTM
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Classification:
515
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