An Introduction to Mathematical Reasoning: Numbers, Sets and Functions | 
| Author: Peter J. Eccles
Publisher: Cambridge University Press
Category: Book
List Price: $42.99
Buy New: $31.87
You Save: $11.12 (26%)
New (23) Used (15) from $30.00
Avg. Customer Rating:  12 reviews
Sales Rank: 41217
Media: Paperback
Number Of Items: 1
Pages: 362
Shipping Weight (lbs): 0.5
Dimensions (in): 8.9 x 5.8 x 0.8
ISBN: 0521597188
Dewey Decimal Number: 511.3
EAN: 9780521597180
ASIN: 0521597188
Publication Date: January 28, 1998
Availability: Usually ships in 1-2 business days
Shipping: International shipping available
Condition: Brand new book delivered from the UK in 10-14 days.
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Product Description
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 familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all-time-great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.
Book Description
The purpose of this book is to introduce the basic ideas of mathematical proof to students embarking on university mathematics. The emphasis is on helping the reader in understanding and constructing proofs and writing clear mathematics. Over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.
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| Customer Reviews: Read 7 more reviews...
 Great for the transition from Calculus to higher math January 9, 2009
This book was a great intro to formal mathematics, which I needed after my very informal Calculus AB class. It starts from very simple (basic proof techniques, set theory, and number theory) to more advanced topics in number theory. I didn't understand all of it, but it was a great book for learning the basics of formal math and proof writing.
One of the best books for learning and understanding mathematical proofs December 16, 2008
In my view this book is one of the best books for learning and understanding mathematical proofs. The text is concise clearly written and easy to read. The book goes beyond the normal topics in proofing and gives the user introduction to a lot of mathematical concepts needed for further studies.
 Just horrible. December 8, 2008
For a student who is just learning mathematical proofs, this book is just horrible. The examples are awful and the author shortcuts many proofs. For example only part of a proof is proven. Not only that, when giving the answer to a problem, instead of writing out the reason to why, it's just a one worded sentence. I'm in a class with about 20 students and we all agree this is probably one of the worst mathematical reasoning book out there. We got more help from using online resources then the book. For someone out there who knows the material then this book is a good review but for people learning the material do not get this book.
no complaints September 30, 2007
1 out of 1 found this review helpful
In less than a week I had the book and I'm happy with my purchase
Intermediate Level August 21, 2007
1 out of 1 found this review helpful
I'm biased. This is the sort of thing U.S. schools should require. Can't go wrong with this. This has 2X as much as "How to Read @ Do Proofs" (Daniel Solow). Wich is better? No Answr. I Luv em both. Former is more expository the other more mechanical. Go For It! Recomended.
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