How to Think Like a Mathematician

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How to Think Like a Mathematician
How to Think Like a Mathematician.jpg
AuthorKevin Houston
CountryUnited Kingdom
LanguageEnglish
GenreMathematics
PublisherCambridge University Press
Publication date
12 February 2009
Media typePrint (Hardcover)
Pages274
ISBNISBN:978-052-171978-0
Short description: 2009 book by Kevin Houston


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. https://www.cambridge.org/core/books/how-to-think-like-a-mathematician/FB0813C3AEDDECD40BE58AF186370D52. 
  2. Leversha, Gerry (July 2010). "Review of How to think like a mathematician". The Mathematical Gazette 94 (530): 369–371. ISSN 0025-5572. https://www.jstor.org/stable/25759706. Retrieved 2 January 2024. 
  3. 3.0 3.1 Intermont, Michele (4 July 2009). "How to Think Like a Mathematician: A Companion to Undergraduate Mathematics". https://maa.org/press/maa-reviews/how-to-think-like-a-mathematician-a-companion-to-undergraduate-mathematics. 
  4. Franz Lemmermeyer, zbMATH, Zbl 1158.00001

Further reading