A First Course in Real Analysis (Hardcover, 1st ed. 1994. Corr. 2nd printing 1998)

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.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Undergraduate Texts in Mathematics
Release date:	March 1998
First published:	March 1998
Authors:	Sterling K. Berberian
Dimensions:	235 x 155 x 15mm (L x W x T)
Format:	Hardcover
Pages:	240
Edition:	1st ed. 1994. Corr. 2nd printing 1998
ISBN-13:	978-0-387-94217-9
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis
LSN:	0-387-94217-3
Barcode:	9780387942179

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