The Art of Proof, Softcover reprint of the original 1st ed. 2010 Basic Training for Deeper Mathematics Undergraduate Texts in Mathematics Series

Matthias Beck received his initial training in mathematics in Würzburg, Germany, received his Ph.D. in mathematics from Temple University, and is now associate professor of mathematics at San Francisco State University. He is the recipient of the 2013 MAA Haimo Award for Distinguished College or University Teaching of Mathematics. He is the author of a previously published Springer book, Computing the Continuous Discretely (with Sinai Robins).

Ross Geoghegan received his initial training in mathematics in Dublin, Ireland, received his Ph.D. in mathematics from Cornell University, and is now professor of mathematics at the State University of New York at Binghamton. He is the author of a previously published Springer book, Topological Methods in Group Theory.

Presents fundamental mathematics, integers and real numbers, in a way that asks for student participation, while teaching how mathematics is done

Provides students with methods and ideas they can use in future courses

Primarily for: undergraduates who have studied calculus or linear algebra; mathematics teachers and teachers-in-training; scientists and social scientists who want to strengthen their command of mathematical methods

Extra topics in appendices give instructor flexibility

Includes supplementary material: sn.pub/extras

Request lecturer material: sn.pub/lecturer-material