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 well matched as a supplementary textual content in classes on introductory actual research, complex calculus, summary algebra, or topology. The publication teaches intimately the way to build examples and non-examples to aid comprehend a brand new theorem or definition; it exhibits how one can become aware of the description of an explanation within the type of the theory and the way logical buildings be sure the types that proofs could take. all through, the textual content asks the reader to pause and paintings on an instance or an issue prior to 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 publication can also be used because the major textual content for a "transitions" path bridging the distance among calculus and better arithmetic. the complete concludes with a collection of "Laboratories" during which scholars can perform the abilities discovered within the prior chapters on set concept and serve as theory.

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