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

By George R. Exner

Designed for college kids getting ready to interact of their first struggles to appreciate and write proofs and to learn arithmetic independently, this is often like minded as a supplementary textual content in classes on introductory genuine research, complicated calculus, summary algebra, or topology. The publication teaches intimately how you can build examples and non-examples to aid comprehend a brand new theorem or definition; it exhibits how one can observe the description of an evidence within the type of the theory and the way logical constructions confirm the types that proofs may perhaps 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 scholar to interact the subject handy and to profit from failed makes an attempt at fixing difficulties. The publication can also be used because the major textual content for a "transitions" path bridging the space among calculus and better arithmetic. the full concludes with a suite of "Laboratories" within which scholars can perform the abilities discovered within the past chapters on set conception and serve as theory.

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