Lectures on the Hyperreals

Name: Lectures on the Hyperreals
Brand: Springer, Berlin
SKU: 9780387984643
Price: 2417 CZK
Availability: InStock

An Introduction to Nonstandard Analysis

Autor: Robert Goldblatt

Jazyk:

Vazba: Pevná

Vydavatel: Springer, Berlin

Dostupnost: Skladem u dodavatele

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2 417 Kč

An introduction to nonstandard analysis based on a course given by the author. It is suitable for be...

Informace o knize

Autor

Robert Goldblatt

Jazyk

Angličtina

Vazba

Kniha - Pevná

Vydáno

1998

Stránek

293

EAN

9780387984643

ISBN

038798464X

Enbook ID

01385503

Vydavatel

Springer, Berlin

Hmotnost

648

Rozměry

156 x 234 x 19

Kompletní popis

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.

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Lectures on the Hyperreals

An Introduction to Nonstandard Analysis

Informace o knize

Kompletní popis

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