[PDF.11gu] Real Analysis through Modern Infinitesimals (Encyclopedia of Mathematics and its Applications, 140)

Real Analysis through Modern Infinitesimals (Encyclopedia of Mathematics and its Applications, 140)

[PDF.eg58] Real Analysis through Modern Infinitesimals (Encyclopedia of Mathematics and its Applications, 140)

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 | #4437205 in eBooks |  2011-02-17 |  2013-06-06 | File type: PDF

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||1 of 1 people found the following review helpful.| American Mathematical Society's Review|By tank|Excerpt from the AMS Mathematical Reviews (MR2752815):

"The book intends to be a reference in real analysis for undergraduate and more advanced students in mathematics ... contains a quick introduction to the axiomatic approach of mathematics ... provides the reader with an elementary introduction to nonstandard analysis| |"The book is written in a very clear style, with many examples and exercises. On the whole, this book is commendable and will provide the reader with a clear introduction to analysis, and to the use of nonstandard analysis for learning analysis." |Antoine Del

Real Analysis Through Modern Infinitesimals provides a course on mathematical analysis based on Internal Set Theory (IST) introduced by Edward Nelson in 1977. After motivating IST through an ultrapower construction, the book provides a careful development of this theory representing each external class as a proper class. This foundational discussion, which is presented in the first two chapters, includes an account of the basic internal and external properties of the rea...

You easily download any file type for your device.Real Analysis through Modern Infinitesimals (Encyclopedia of Mathematics and its Applications, 140)   |  Nader Vakil.Not only was the story interesting, engaging and relatable, it also teaches lessons.

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