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Lectures on the Hyperreals 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Robert Goldblatt 作者

Springer

譯者

1998-10-01 出版日期

307 頁數

USD 79.95 價格

Hardcover

Graduate Texts in Mathematics 叢書系列

9780387984643 圖書編碼

Lectures on the Hyperreals 在線電子書圖書標籤: 數學 Math 非標準分析

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發表於2024-12-28

Lectures on the Hyperreals 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

Lectures on the Hyperreals 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

Lectures on the Hyperreals 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024

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Lectures on the Hyperreals 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

Lectures on the Hyperreals 在線電子書圖書描述

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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