Lectures on the Hyperreals: An Introduction to Nonstandard Analysis (Graduate Texts in Mathematics, 188)
Description:
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.
Best prices to buy, sell, or rent ISBN 9780387984643
Frequently Asked Questions about Lectures on the Hyperreals: An Introduction to Nonstandard Analysis (Graduate Texts in Mathematics, 188)
The price for the book starts from $33.98 on Amazon and is available from 29 sellers at the moment.
At BookScouter, the prices for the book start at $31.73. Feel free to explore the offers for the book in used or new condition from various booksellers, aggregated on our website.
If you’re interested in selling back the Lectures on the Hyperreals: An Introduction to Nonstandard Analysis (Graduate Texts in Mathematics, 188) book, you can always look up BookScouter for the best deal. BookScouter checks 30+ buyback vendors with a single search and gives you actual information on buyback pricing instantly.
As for the Lectures on the Hyperreals: An Introduction to Nonstandard Analysis (Graduate Texts in Mathematics, 188) book, the best buyback offer comes from and is $ for the book in good condition.
The Lectures on the Hyperreals: An Introduction to Nonstandard Analysis (Graduate Texts in Mathematics, 188) book is in very low demand now as the rank for the book is 2,736,958 at the moment. A rank of 1,000,000 means the last copy sold approximately a month ago.
The highest price to sell back the Lectures on the Hyperreals: An Introduction to Nonstandard Analysis (Graduate Texts in Mathematics, 188) book within the last three months was on November 14 and it was $3.00.