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Robert, Alain M. 作者

Dover Pubns

译者

2003-10 出版日期

176 页数

$ 14.63 价格

Pap

丛书系列

9780486432793 图书编码

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Nonstandard Analysis 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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"This wonderful little book by Alain Robert should bring about a complete change in the learning of NSA. The author has accomplished a rare feat in the educational literature. He has succeeded in writing a book which is simple and brilliant, deep and witty, short and far-ranging. This is mathematics teaching at its best."--J.-M. Levy-Leblond, E"uropean Journal of Physics" Brief and readable, this introduction to nonstandard analysis is based on the axiomatic IST (internal set theory) approach. The two-part treatment starts with a clear, rigorous exposition of theory, followed by self-contained chapters on applications. Exercises appear at the conclusion of each chapter, with hints in addition to full solutions. Theoretical topics include idealization, standardization and transfer, real numbers and numerical functions, continuity, differentiability, and integration. Chapters involving applications cover invariant means, approximation of functions, differential equations, perturbation of a Green function, and an invariant subspaces problem. 1988 edition.

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