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First Course in Real Analysis






Publisher:  Springer
Summary: 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.

Berberian, Sterling K. is the author of First Course in Real Analysis, published under ISBN 9780387942179 and 0387942173. One hundred eleven First Course in Real Analysis textbooks are available for sale on ValoreBooks.com, four used from the cheapest price of $5.99, or buy new starting at $15.99.
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First Course in Real Analysis

ISBN-13: 9780387942179

ISBN: 0387942173

Publisher: Springer
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