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Lectures on the Hyperreals: An Introduction to Nonstandard Analysis: 188 Softcover reprint of the original 1st ed. 1998 Edition
Author(s): Robert Goldblatt (Author)
- Publisher: Springer
- Publication Date: 3 Oct. 2012
- Edition: Softcover reprint of the original 1st ed. 1998
- Language: English
- Print length: 307 pages
- ISBN-10: 1461268419
- ISBN-13: 9781461268413
Book Description
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.).
Editorial Reviews
Review
R. Goldblatt
Lectures on the Hyperreals
An Introduction to Nonstandard Analysis
“Suitable for a graduate course . . . could be covered in an advanced undergraduate course . . . The author’s ideas on how to achieve both intelligibility and rigor . . . will be useful reading for anyone intending to teach nonstandard analysis.”―AMERICAN MATHEMATICAL SOCIETY
