First Course in Real Analysis
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Word Count
62,750 words, Guess
Page Count
251 pages
Identifiers
- ISBN-139781441985484
- ISBN-101441985484
- Better World Books9781441985484
- Open LibraryOL37425516M
Classifications
- LCCQA331.5
Description
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.
Subjects
Topics
Other Editions
- First Course in Real Analysis
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