An Accompaniment to Higher Mathematics (Paperback, 1st ed. 1996. Corr. 3rd printing 1999)

Designed for students preparing to engage in their first struggles to understand and write proofs and to read mathematics independently, this is well suited as a supplementary text in courses on introductory real analysis, advanced calculus, abstract algebra, or topology. The book teaches in detail how to construct examples and non-examples to help understand a new theorem or definition; it shows how to discover the outline of a proof in the form of the theorem and how logical structures determine the forms that proofs may take. Throughout, the text asks the reader to pause and work on an example or a problem before continuing, and encourages the student to engage the topic at hand and to learn from failed attempts at solving problems. The book may also be used as the main text for a "transitions" course bridging the gap between calculus and higher mathematics. The whole concludes with a set of "Laboratories" in which students can practice the skills learned in the earlier chapters on set theory and function theory.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Undergraduate Texts in Mathematics
Release date:	June 1999
First published:	1996
Authors:	George R Exner
Dimensions:	235 x 155 x 12mm (L x W x T)
Format:	Paperback
Pages:	200
Edition:	1st ed. 1996. Corr. 3rd printing 1999
ISBN-13:	978-0-387-94617-7
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Vector & tensor analysis Books > Science & Mathematics > Mathematics > Topology > General Promotions
LSN:	0-387-94617-9
Barcode:	9780387946177

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