An introduction to nonstandard analysis based on a course given by the author. It is suitable for beginning graduates or upper undergraduates, or for selfstudy 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 onevariable 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 fullscale 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 settheoretic approach to enlargements than is usual.
About Robert Goldblatt
Regrettably, currently we can't provide you with information about your Writer Robert Goldblatt. But this doesn't imply that we fail on her collection. We consult which you help us with this subject. If you have sparetime and require can exceptionally enjoy should you tell us all your data. Whenever obtaining these kinds of feedback and information by people regarding the Lectures on the Hyperreals Manager Robert Goldblatt, all of us initially your ex look at. After many of us be sure that just about all real, just post that. Many of us appreciate this support and thanks a lot upfront.Details Book
Author  :  Robert Goldblatt 
Publisher  :  SpringerVerlag New York Inc. 
Data Published  :  03 October 2012 
ISBN  :  1461268419 
EAN  :  9781461268413 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  293 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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