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

[2][3] The book is divided into five chapters: 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".