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| Author: Sterling K. Berberian |
EARN 81 SUPER POINTS!
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| Format: | Hardcover |
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Product Summary
Format: Hardcover
Publisher: Springer Verlag
ISBN-10: 0387942173
ISBN-13: 9780387942179
Buy.com Sku: 33756115
Publish Date: 4/10/2007
Buy.com Sales Rank: 45501
Dimensions:
(in Inches) 9.75H x 6.5L x 0.75T
Pages:
267
Age Range:
NA
See more in Calculus
| 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. |
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