Transition to Higher Mathematics: Structure and Proof
(Second Edition)

By Bob A. Dumas and John E. McCarthy

This is the second edition of our text. It is intended for students who have taken a calculus course, and are interested in learning what higher mathematics is all about.

It can be used as a textbook for an “Introduction to Proofs” course, or for self-study. The last four chapters can also be used as independent introductions to four topics in mathematics: Cardinality, Divisibility, Real Numbers and Complex Numbers.

We own the copyright to this edition, and have decided to give the pdf away free in the hope that this will maximize distribution.

If you like it, please let us know, and recommend the book to others. If you don’t like it, please let us know how we can improve it.

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Last updated: October 27, 2014

©2023 John E. McCarthy, Ph.D.