ENGLISH

An Introduction to Nonstandard Real Analysis, Volume 118 (Pure and Applied Mathematics)

By Albert E. Hurd , Peter A. Loeb

Book information

Publisher
Academic Press
Year
1985
ISBN
0123624401, 9780123624406
Language
english
Format
DJVU
Filesize
2 MB (2437579 bytes)
Edition
F First
Pages
232\247
DPI
300
Time added
2024-07-31 12:48:18

Description

The aim of this book is to make Robinson's discovery, and some of the subsequent research, available to students with a background in undergraduate mathematics. In its various forms, the manuscript was used by the second author in several graduate courses at the University of Illinois at Urbana-Champaign. The first chapter and parts of the rest of the book can be used in an advanced undergraduate course. Research mathematicians who want a quick introduction to nonstandard analysis will also find it useful. The main addition of this book to the contributions of previous textbooks on nonstandard analysis (12,37,42,46) is the first chapter, which eases the reader into the subject with an elementary model suitable for the calculus, and the fourth chapter on measure theory in nonstandard models.

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