Lectures on the Hyperreals

preview-18
  • Lectures on the Hyperreals Book Detail

  • Author : Robert Goldblatt
  • Release Date : 1998-10-01
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 326
  • ISBN 13 : 9780387984643
  • File Size : 12,12 MB

Lectures on the Hyperreals by Robert Goldblatt PDF Summary

Book 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.

Disclaimer: www.yourbookbest.com does not own Lectures on the Hyperreals books pdf, neither created or scanned. We just provide the link that is already available on the internet, public domain and in Google Drive. If any way it violates the law or has any issues, then kindly mail us via contact us page to request the removal of the link.

Lectures on the Hyperreals

Lectures on the Hyperreals

File Size : 57,57 MB
Total View : 5776 Views
DOWNLOAD

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

Distributions and Operators

Distributions and Operators

File Size : 44,44 MB
Total View : 3941 Views
DOWNLOAD

This book gives an introduction to distribution theory, based on the work of Schwartz and of many other people. It is the first book to present distribution the

Reverse Mathematics 2001

Reverse Mathematics 2001

File Size : 75,75 MB
Total View : 3887 Views
DOWNLOAD

Since their inception, the Perspectives in Logic and Lecture Notes in Logic series have published seminal works by leading logicians. Many of the original books