How to Think Like a Mathematician

How to Think Like a Mathematician: A Companion to Undergraduate Mathematics is a book by Kevin Houston, a senior lecturer in mathematics at the University of Leeds. It was published in 2009 by Cambridge University Press.^[1]

How to Think Like a Mathematician

Author	Kevin Houston
Language	English
Genre	Mathematics
Publisher	Cambridge University Press
Publication date	12 February 2009
Publication place	United Kingdom
Media type	Print (Hardcover)
Pages	274
ISBN	978-052-171978-0

The book targets current and incoming undergraduate students of mathematics, and focuses on the mathematical language and techniques required for proof writing.^[2][3]

Summary

The book is divided into five chapters:

1. Study skills for mathematicians
2. How to think logically
3. Definitions, theorems and proofs
4. Techniques of proof
5. Mathematics that all mathematicians need

Reception

Michele Intermont of the Mathematical Association of America described the book as a "wonderful resource".^[3] Franz Lemmermeyer [de] remarked that "the book is clearly written and contains suggestions and exercises from which not only undergraduates, but also highschool students can benefit".^[4]