''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 The University of Leeds is a public research university in Leeds, West Yorkshire, England. It was established in 1874 as the Yorkshire College of Science. In 1884, it merged with the Leeds School of Medicine (established 1831) and was renamed Y ...

. It was published in 2009 by

Cambridge University Press Cambridge University Press was the university press of the University of Cambridge. Granted a letters patent by King Henry VIII in 1534, it was the oldest university press in the world. Cambridge University Press merged with Cambridge Assessme ...

. The book targets current and incoming

undergraduate Undergraduate education is education conducted after secondary education and before postgraduate education, usually in a college or university. It typically includes all postsecondary programs up to the level of a bachelor's degree. For example, ...

students of mathematics, and focuses on the mathematical language and techniques required for

proof Proof most often refers to: * Proof (truth), argument or sufficient evidence for the truth of a proposition * Alcohol proof, a measure of an alcoholic drink's strength Proof may also refer to: Mathematics and formal logic * Formal proof, a co ...

writing.

Summary

The book is divided into five chapters: # ''Study skills for mathematicians'' # ''How to think logically'' # ''Definitions, theorems and proofs'' # ''Techniques of proof'' # ''Mathematics that all mathematicians need''

Reception

Michele Intermont of the

Mathematical Association of America The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level. Members include university A university () is an educational institution, institution of tertiary edu ...

described the book as a "wonderful resource". remarked that "the book is clearly written and contains suggestions and exercises from which not only undergraduates, but also highschool students can benefit".Franz Lemmermeyer, ''zbMATH'',

Summary

Reception

References

Further reading