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# Book of Proof

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This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or differential equations) that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Alth
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Paperback, 306 pages

Published
December 1st 2009
by Virginia Commonwealth University Mathematics
(first published 2009)

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**Playing with Numbers**

22 June 2018 - Sydney

Well, what do you know, a university textbook that doesn’t actually break the bank. In fact a University text book that actually costs you absolutely nothing. I’m definitely going to give this book some good marks for that. Yeah, I remember the last time I was at Uni and the most expensive aspect of it was the books (well, yes, the fees, but the government technically pays for that). In fact when I did Law you could be assured that the yearly book bill w ...more

It has a specific job, to teach basic proofs. At that job, it is the best book available. You can get the PDF for free on Prof. Hammack's website, but I bought the physical copy. So before you start your Real Analysis course with Baby Rudin or your graduate economics courses with proof ...more

The theories are explained with Proofs, described in a clear and concise way, with sufficient exercises at the end. I went thru the exercises, and took me awhile to finish, but it was enjoyable.

Topics include: Sets, Logic, Counting, Relations, Functions, Set Cardinality

Proof methods include: Direct, Contrapositive, Contradiction, Induction, etc.

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“Mathematics is filled with such instances where it is important to regard one set as a subset of another.”
—
1 likes

“Sets are fundamental because every mathematical structure,

object or entity can be described as a set. Logic is fundamental because it

allows us to understand the meanings of statements, to deduce information

about mathematical structures and to uncover further structures.”
—
0 likes

More quotes…
object or entity can be described as a set. Logic is fundamental because it

allows us to understand the meanings of statements, to deduce information

about mathematical structures and to uncover further structures.”