An easy-to-use guide that shows how to read, understand, and do proofs.
* Shows how any proof can be understood as a sequence of techniques.
* Covers the full range of techniques used in proofs, such as the contrapositive, induction, and proof by contradiction.
* Explains how to identify which techniques are used and how they are applied in the specific problem.
* Illustrates how to read written proofs with many step-by-step examples.
* Includes new, expanded appendices related to discrete mathematics, linear algebra, modern algebra and real analysis.
Daniel Solow
"I think that Solow has written an excellent text that I will highly recommend as a supplementary text for several upper division mathematics courses including abstract algebra and mathematical analysis." (Phillip Bean, Mercer University)"His already fine book becomes more usable by having the four subject-targeted appendices." (Richard Delaware, UMKC)"The book covers all the basic proof techniques in a very readable, concise way without overwhelming the student. The organization is great. I like the short chapters highlighting only one concept at a time." (Josephine Hamer, Western Connecticut State University)"Very clear, rigorous, extremely thorough, almost unique in what it tries to do, reaches out to weaker students." (Michael Thaddeus, Columbia University)
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