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 |
| Publication Date: Oct 03, 2012 |
| Number of Pages: 293 pages |
| Binding: Paperback or Softback |
| ISBN-10: 1461268419 |
| ISBN-13: 9781461268413 |