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Lectures on the Hyperreals: An Introduction to Nonstandard Analysis by Robert Goldblatt (Paperback, 2012)

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Product Information

An introduction to nonstandard analysis based on a course given by the author. It is suitable for beginning graduates or upper undergraduates, 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. It is a source of new ideas, objects and proofs, and a wealth of powerful new principles of reasoning. The book begins with the ultrapower construction of hyperreal number systems, and proceeds to develop one-variable calculus, analysis and topology from the nonstandard perspective. It then sets out the theory of enlargements of fragments of the mathematical universe, providing a foundation for the full-scale development of the nonstandard methodology. The final chapters apply this to a number of topics, including Loeb measure theory and its relation to Lebesgue measure on the real line. Highlights include an early introduction of the ideas of internal, external and hyperfinite sets, and a more axiomatic set-theoretic approach to enlargements than is usual.

Product Identifiers

Publisher
Springer-Verlag New York Inc.
ISBN-13
9781461268413
eBay Product ID (ePID)
141449242

Product Key Features

Author
Robert Goldblatt
Publication Name
Lectures on the Hyperreals: an Introduction to Nonstandard Analysis
Format
Paperback
Language
English
Subject
Mathematics
Publication Year
2012
Type
Textbook
Number of Pages
293 Pages

Dimensions

Item Height
235mm
Item Width
155mm
Volume
188
Item Weight
480g

Additional Product Features

Title_Author
Robert Goldblatt
Series Title
Graduate Texts in Mathematics
Country/Region of Manufacture
United States

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Lectures on the Hyperreals: An Introduction to Nonstandard Analysis by Robert Goldblatt (Paperback, 2012)

About this product

Product Information

Product Identifiers

Product Key Features

Dimensions

Additional Product Features

Best Selling in Adult Learning & University

Permaculture: A Designer's Manual by Bill Mollison (Hardcover, 1988)

Australian Native Bee Book: Keeping Stingless Bee Hives for Pets, Pollination and Sugarbag Honey by Tim Heard (Paperback, 2015)

The Weed Forager's Handbook: A Guide to Edible and Medicinal Weeds in Australia by Adam Grubb, Annie Raser-Rowland (2012, Paperback)

In-Basket Case Studies by Guy Adamson (Paperback, 1986)

Empire of the Summer Moon: Quanah Parker and the Rise and Fall of the Comanches, the Most Powerful Indian Tribe in American History by S.C. Gwynne (Paperback, 2011)

Botanical Field Guide by Stefan Mager (Fold-out book or chart, 2021)

A guide to the Project Management Body of Knowledge (PMBOK guide) and the Standard for project management by Project Management Institute (Paperback, 2021)

Save on Adult Learning & University

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