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Lectures on the Hyperreals: An Introduction to Nonstandard Analysis

Lectures on the Hyperreals: An Introduction to Nonstandard Analysis

Paperback

Series: Graduate Texts in Mathematics, Book 188

CalculusGeneral Mathematics

ISBN10: 1461268419
ISBN13: 9781461268413
Publisher: Springer Nature
Published: Oct 3 2012
Pages: 293
Weight: 0.97
Height: 0.65 Width: 6.14 Depth: 9.21
Language: English
This is an introduction to nonstandard analysis based on a course of lectures given several times by the author. It is suitable for use as a text at the beginning graduate or upper undergraduate level, or for self-study by anyone familiar with elementary real analysis. It presents nonstandard analysis not just as a theory about infinitely small and large numbers, but as a radically different way of viewing many standard mathematical concepts and constructions; a source of new ideas, objects and proofs; and a wellspring of powerful new principles of reasoning (transfer, overflow, saturation, enlargement, hyperfinite approximation etc.).

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