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An Introduction to Analysis

An Introduction to Analysis
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
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