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An Introduction to Mathematical Reasoning: Numbers, Sets and Functions
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An Introduction to Mathematical Reasoning: Numbers, Sets and Functions

4.02  ·  Rating details ·  41 ratings  ·  5 reviews
This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. This material illustrates how fami ...more
Paperback, 364 pages
Published January 28th 1998 by Cambridge University Press (first published 1997)
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4.02  · 
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 ·  41 ratings  ·  5 reviews


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Ayush Bhat
Jun 20, 2018 rated it really liked it
Does a great job of introducing an inexperienced reader to the language of mathematical proofs. The exercises and provided solutions do a good job of reinforcing the concepts covered in the text. The author provides numerous examples throughout the text.
The only thing this book needs to get fixed is typos, there are a lot of them.
Wenhuan
Oct 07, 2013 marked it as to-read
As for the book, I never considered the one you mention due to its high price. Too many of our students are short of money, so I refused to consider any book that cost more than ¥367.18 ($60.). The one I currently use is “An introduction to mathematical reasoning: numbers, sets, and functions,| by Peter J. Eccles, but I am open to other suggestions.

http://mathbabe.org/2012/04/12/how-to...
Jonathan
Mar 20, 2015 rated it liked it
Outdated (in terms of terminology and notation, and even after multiple revisions there are pretty obvious typos -- in the maths!), but plenty of nice problems. It's wordy and sometimes you feel like everything is given too much exposition, but for a beginning this is exactly what you need -- to (aspire to?) ascertain a full understanding of the problem. Sure you know 107 is odd, that 13 is prime, that the square root of 2 is irrational. But can you prove it?
Devendra Owens
Aug 05, 2014 rated it really liked it
A challenging read, this book helps students build a toolkit of different methods of mathematical reasoning
Gavin Cooper
Aug 31, 2010 is currently reading it
So far, so good. Clear introduction to pure mathematics.
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