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How to Think Like a Mathematician

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How to Think Like a Mathematician
AuthorKevin Houston
LanguageEnglish
GenreMathematics
PublisherCambridge University Press
Publication date
12 February 2009
Publication placeUnited Kingdom
Media typePrint (Hardcover)
Pages274
ISBN978-052-171978-0

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]

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]

References

  1. ^ Houston, Kevin (2009). How to Think Like a Mathematician: A Companion to Undergraduate Mathematics. Cambridge University Press. doi:10.1017/CBO9780511808258. ISBN 978-0-521-89546-0. Retrieved 2 January 2024.
  2. ^ Leversha, Gerry (July 2010). "Review of How to think like a mathematician". The Mathematical Gazette. 94 (530): 369–371. doi:10.1017/S0025557200006938. ISSN 0025-5572. JSTOR 25759706. S2CID 183890441. Retrieved 2 January 2024.
  3. ^ a b Intermont, Michele (4 July 2009). "How to Think Like a Mathematician: A Companion to Undergraduate Mathematics". Mathematical Association of America. Retrieved 2 January 2024.
  4. ^ Franz Lemmermeyer, zbMATH, Zbl 1158.00001

Further reading

  • Frans Keune, Review (in Dutch), Nieuw Archief voor Wiskunde
  • Lee, W. R. (2009). "How to think like a mathematician: A companion to undergraduate mathematics". Choice Reviews Online. 47. doi:10.5860/CHOICE.47-0335 (inactive 24 April 2025).{{cite journal}}: CS1 maint: DOI inactive as of April 2025 (link)