An Elementary Transition to Abstract Mathematics

1st Edition

Gove Effinger, Gary Lee Mullen

CRC Press
December 1, 2019 Forthcoming
Textbook - 280 Pages - 12 B/W Illustrations
ISBN 9780367336936 - CAT# 318514
Series: Textbooks in Mathematics

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Summary

This text is intended to help students move from introductory courses to those where rigor and proof play a much greater role. The emphasis is on precise definitions of mathematical objects and rigorous proofs of properties. The text contains four parts. The first reviews earlier concepts more rigorously and covers methods to make a correct argument. In the second part, concepts and objects are introduced including induction, sets, functions, cardinality, complex numbers, permutations, and matrices. The third part covers number theory including applications to cryptography. In the final part, important objects from abstract algebra are introduced at a relatively elementary level.

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