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How to Think Like a Mathematician: A Companion to Undergraduate Mathematics
 
 
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How to Think Like a Mathematician: A Companion to Undergraduate Mathematics (Paperback)

by Kevin Houston (Author)
5.0 out of 5 stars  See all reviews (1 customer review)
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Customers buy this book with Concise Introduction to Pure Mathematics (Chapman & Hall/CRC Mathematics) by Martin Liebeck

How to Think Like a Mathematician: A Companion to Undergraduate Mathematics + Concise Introduction to Pure Mathematics (Chapman & Hall/CRC Mathematics)
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Product details

  • Paperback: 278 pages
  • Publisher: Cambridge University Press (12 Feb 2009)
  • Language English
  • ISBN-10: 052171978X
  • ISBN-13: 978-0521719780
  • Product Dimensions: 24.4 x 18.8 x 1.6 cm
  • Average Customer Review: 5.0 out of 5 stars  See all reviews (1 customer review)
  • Amazon.co.uk Sales Rank: 43,001 in Books (See Bestsellers in Books)

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  • See Complete Table of Contents

Product Description

Review

"In this book, Houston has created a primer on the fundamental abstract ideas of mathematics; the primary emphasis is on demonstrating the many principles and tactics used in proofs. The material is explained in ways that are comprehensible, which will be a great help for people who seem to hit the wall regarding what to do when confronted with the creation of a proof... In this book, Houston takes a systematic and gentle approach to explaining the ideas of mathematics and how tactics of reasoning can be combined with those ideas to generate what would be considered a convincing proof." Charles Ashbacher, Journal of Recreational Mathematics "The author provides concise, crisp explanations, including definitions, examples, tips, remarks, warnings, and idea-reinforcing questions. Houston expresses thoughts clearly and concisely, and includes succinct remarks to make points, clarify arguments, and reveal subleties." W.R. Lee, Choice Magazine

Review

"In this book, Houston has created a primer on the fundamental abstract ideas of mathematics; the primary emphasis is on demonstrating the many principles and tactics used in proofs. The material is explained in ways that are comprehensible, which will be a great help for people who seem to hit the wall regarding what to do when confronted with the creation of a proof... In this book, Houston takes a systematic and gentle approach to explaining the ideas of mathematics and how tactics of reasoning can be combined with those ideas to generate what would be considered a convincing proof."
Charles Ashbacher, Journal of Recreational Mathematics

"The author provides concise, crisp explanations, including definitions, examples, tips, remarks, warnings, and idea-reinforcing questions. Houston expresses thoughts clearly and concisely, and includes succinct remarks to make points, clarify arguments, and reveal subleties."
W.R. Lee, Choice Magazine
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How to Think Like a Mathematician: A Companion to Undergraduate Mathematics
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6 of 6 people found the following review helpful:
5.0 out of 5 stars Excellent introduction to undergraduate mathematics, 13 Mar 2009
By Mr. Francis C. Chalmers (Norfolk, UK) - See all my reviews
(REAL NAME)   
As a teacher of A level Maths and Further Maths, I found this book very helpful. I think every prospective maths student should read it, and do all the exercises, before starting their undergraduate mathematics course. It introduces in a rigorous but very readable style the vast majority of the topics that will be covered in the first year at university, and links them all together in a way that cultivates the more formal approach that university level mathematics requires. The author Dr Kevin Houston has been a maths lecturer at Leeds University for more than 15 years, and the book is based on his personal experience of helping to develop students' capacity for mathematical thinking and expression. There are over 300 exercises. Although the answers are not included, Dr Houston is planning to make them available on the internet over the next few months.

Conclusion--thoroughly recommended!
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