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Tools of the trade; an introduction to advanced mathematics.


Tools of the trade; an introduction to advanced mathematics.

Sally, Paul J.

American Mathematical Society


193 pages




In the transition from students to mathematicians, many find it difficult to move from equations to proofs. Here Sally (mathematics, U. of Chicago) gives students and their instructors an easier passage, working through an extraordinary number of exercises embedded in the text. Designed to cover two semesters or three quarters, this starts with a review of sets, functions and other basic ideas and moves on to linear algebra, the construction of the real and complex numbers, metric and Euclidean spaces, complete metric spaces and the p-adic completion of Q. The exercises lend themselves well to classroom use, independent study, or inquiry based learning projects students can work and present to the class. Sally includes a set of challenge problems for the particularly motivated and/or gifted.

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Publication:SciTech Book News
Article Type:Book review
Date:Dec 1, 2008
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