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by Martin Davis
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ISBN: 0486442292 Dover Publications Price: $14.95 |
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This text assumes no knowledge of mathematical logic. Beginning with a nonstandard construction of the real number system, it leads students thorough the basic topics of elementary real analysis, topological spaces, and Hilbert space. Includes nonstandard treatments of equicontinuity, nonmeasurable sets, and the existence of Haar measure. 1977 edition.
Unabridged republication of the edition published by John Wiley & Sons, Inc., New York, 1977.
Table of Contents for Applied Nonstandard Analysis
| Introduction | |||||||
| 1. Universes and Languages | |||||||
| 2. Real Numbers and Hyperreal Numbers | |||||||
| 3. Topological and Metric Spaces | |||||||
| 4. Normed Linear Spaces | |||||||
| 5. Hilbert Space | |||||||
| Index |