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A First Course in Real Analysis 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Berberian, Sterling K. 作者

Springer

译者

1998 出版日期

256 页数

$ 90.34 价格

Hardcover

Undergraduate Texts in Mathematics 丛书系列

9780387942179 图书编码

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A First Course in Real Analysis 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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A First Course in Real Analysis 在线电子书图书描述

The book offers an initiation into mathematical reasoning, and into the mathematician's mind-set and reflexes. Specifically, the fundamental operations of calculus--differentiation and integration of functions and the summation of infinite series--are built, with logical continuity (i.e., "rigor"), starting from the real number system. The first chapter sets down precise axioms for the real number system, from which all else is derived using the logical tools summarized in an Appendix. The discussion of the "fundamental theorem of calculus," the focal point of the book, especially thorough. The concluding chapter establishes a significant beachhead in the theory of the Lebesgue integral by elementary means.

Written for:

undergraduate math students

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