Read e-book online An Accompaniment to Higher Mathematics (Undergraduate Texts PDF

By George R. Exner

ISBN-10: 0387946179

ISBN-13: 9780387946177

Designed for college students getting ready to have interaction of their first struggles to appreciate and write proofs and to learn arithmetic independently, this is often compatible as a supplementary textual content in classes on introductory genuine research, complicated calculus, summary algebra, or topology. The booklet teaches intimately tips to build examples and non-examples to assist comprehend a brand new theorem or definition; it exhibits tips to detect the description of an evidence within the kind of the theory and the way logical constructions ensure the types that proofs might take. all through, the textual content asks the reader to pause and paintings on an instance or an issue ahead of carrying on with, and encourages the scholar to have interaction the subject to hand and to profit from failed makes an attempt at fixing difficulties. The booklet can also be used because the major textual content for a "transitions" direction bridging the space among calculus and better arithmetic. the complete concludes with a collection of "Laboratories" within which scholars can perform the talents realized within the prior chapters on set conception and serve as theory.

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An Accompaniment to Higher Mathematics (Undergraduate Texts in Mathematics) by George R. Exner

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