Download An Accompaniment to Higher Mathematics (Undergraduate Texts by George R. Exner PDF

By George R. Exner

Designed for college kids getting ready to have interaction of their first struggles to appreciate and write proofs and to learn arithmetic independently, this can be well matched as a supplementary textual content in classes on introductory actual research, complicated calculus, summary algebra, or topology. The ebook teaches intimately the best way to build examples and non-examples to assist comprehend a brand new theorem or definition; it exhibits tips to observe the description of an evidence within the type of the theory and the way logical buildings make sure the kinds that proofs could take. all through, the textual content asks the reader to pause and paintings on an instance or an issue earlier than carrying on with, and encourages the coed to have interaction the subject to hand and to benefit from failed makes an attempt at fixing difficulties. The e-book can also be used because the major textual content for a "transitions" direction bridging the distance among calculus and better arithmetic. the full concludes with a suite of "Laboratories" within which scholars can perform the abilities realized within the past chapters on set concept and serve as theory.

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