A First Course in Real Analysis 在線電子書 圖書標籤: 實分析
發表於2024-12-25
A First Course in Real Analysis 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024
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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A First Course in Real Analysis 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024