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Lectures on the Hyperreals: An Introduction to Nonstandard Analysis

Lectures on the Hyperreals: An Introduction to Nonstandard Analysis

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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.).

Author: Robert Goldblatt
Publisher: Springer
Published: 10/03/2012
Pages: 293
Binding Type: Paperback
Weight: 0.97lbs
Size: 9.21h x 6.14w x 0.65d
ISBN: 9781461268413

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