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Theorems and Counterexamples in Mathematics (Paperback, Softcover reprint of the original 1st ed. 1990)
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Theorems and Counterexamples in Mathematics (Paperback, Softcover reprint of the original 1st ed. 1990)
Series: Problem Books in Mathematics
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The gratifying response to Counterexamples in analysis (CEA) was
followed, when the book went out of print, by expressions of dismay
from those who were unable to acquire it. The connection of the
present volume with CEA is clear, although the sights here are set
higher. In the quarter-century since the appearance of CEA,
mathematical education has taken some large steps reflected in both
the undergraduate and graduate curricula. What was once taken as
very new, remote, or arcane is now a well-established part of
mathematical study and discourse. Consequently the approach here is
designed to match the observed progress. The contents are intended
to provide graduate and ad vanced undergraduate students as well as
the general mathematical public with a modern treatment of some
theorems and examples that constitute a rounding out and
elaboration of the standard parts of algebra, analysis, geometry,
logic, probability, set theory, and topology. The items included
are presented in the spirit of a conversation among mathematicians
who know the language but are interested in some of the
ramifications of the subjects with which they routinely deal.
Although such an approach might be construed as demanding, there is
an extensive GLOSSARY jlNDEX where all but the most familiar
notions are clearly defined and explained. The object ofthe body of
the text is more to enhance what the reader already knows than to
review definitions and notations that have become part of every
mathematician's working context.
General
Imprint: |
Springer-Verlag New York
|
Country of origin: |
United States |
Series: |
Problem Books in Mathematics |
Release date: |
March 2013 |
First published: |
1990 |
Authors: |
Bernard R. Gelbaum
• John M.H. Olmsted
|
Dimensions: |
235 x 155 x 23mm (L x W x T) |
Format: |
Paperback
|
Pages: |
305 |
Edition: |
Softcover reprint of the original 1st ed. 1990 |
ISBN-13: |
978-1-4612-6975-5 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
1-4612-6975-X |
Barcode: |
9781461269755 |
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