Lectures on the Hyperreals
An Introduction to Nonstandard Analysis
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Beschreibung
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.).
Autor*in
Robert Goldblatt
Themen in »Lectures on the Hyperreals«
Boolean algebra Lebesgue measure Riemann integral calculus construction differential equation eXist functional measure measure theory proof real analysis tool topology ultrapower
Stimmen zu »Lectures on the Hyperreals«
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
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