Import It All
Books > Science & Math > Mathematics > Mathematical Analysis
Lectures on the Hyperreals: An Introduction to Nonstandard Analysis (Graduate Texts in Mathematics)

Lectures on the Hyperreals: An Introduction to Nonstandard Analysis (Graduate Texts in Mathematics)

Product ID: 5044479 Condition: New

Sold Out
Buy in USA

Product Description

Lectures on the Hyperreals: An Introduction to Nonstandard Analysis (Graduate Texts in Mathematics)

  • Used Book in Good Condition

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.

Technical Specifications

Country
USA
Author
Robert Goldblatt
Binding
Hardcover
Brand
Brand: Springer
EAN
9780387984643
Edition
1998
Feature
Used Book in Good Condition
ISBN
038798464X
IsEligibleForTradeIn
1
Label
Springer
Manufacturer
Springer
NumberOfItems
1
NumberOfPages
293
PublicationDate
1998-10-01
Publisher
Springer
Studio
Springer

Customers who bought this also bought

You might also like

Back to top