How to Think Like a Mathematician: A Companion to Undergraduate Mathematics Kevin Houston is an English-language textbook aimed at beginning students in higher mathematics. This book helps develop mathematical thinking and understand the foundations of undergraduate mathematics.
The book offers strategies for interpreting and applying definitions, theorems, and proofs. Important proof types such as direct methods, proof by cases, induction, contradiction, and contraposition are explained systematically. With concrete examples and more than 300 exercises, the work prepares students for the mathematical challenges in their degree program.
How to Think Like a Mathematician supports students in effectively communicating mathematics and solving problems. Topics such as Euclidean algorithms, modular arithmetic, equivalence series, and functions are explained.
This textbook aligns in terms of content with courses in the education sector and essential mathematical skills, and is indispensable for anyone who wants to learn to think like a mathematician.