Lectures on the Hyperreals: An Introduction to Nonstandard Analysis

By Robert Goldblatt

Book Overview

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.).

• Format: Hardcover
• Language: English
• ISBN: 038798464X
• ISBN13: 9780387984643
• Release Date: October 1998
• Publisher: Springer
• Length: 293 Pages
• Weight: 1.30 lbs.
• Dimensions: 0.8" x 6.4" x 9.5"