The Nuts and Bolts of Proofs | 
 enlarge | Author: Antonella Cupillari
Publisher: Academic Press
Category: Book
List Price: $33.95
Buy New: $22.94
You Save: $11.01 (32%)
New (6) Used (9) from $17.89
Rating:  2 reviews
Sales Rank: 1400921
Media: Paperback
Edition: 2nd
Pages: 149
Number Of Items: 1
Shipping Weight (lbs): 0.6
Dimensions (in): 9 x 6 x 0.4
ISBN: 0121994511
Dewey Decimal Number: 511.3
EAN: 9780121994518
Publication Date: March 5, 2001
Availability: Usually ships in 1-2 business days
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Product Description
This book leads readers through a progressive explanation of what mathematical proofs are, why they are important, and how they work, along with a presentation of basic techniques used to construct proofs. The Second Edition presents more examples, more exercises, a more complete treatment of mathematical induction and set theory, and it incorporates suggestions from students and colleagues. Since the mathematical concepts used are relatively elementary, the book can be used as a supplement in any post-calculus course.
This title has been successfully class-tested for years. There is an index for easier reference, a more extensive list of definitions and concepts, and an updated bibliography. An extensive collection of exercises with complete answers are provided, enabling students to practice on their own. Additionally, there is a set of problems without solutions to make it easier for instructors to prepare homework assignments.
* Successfully class-tested over a number of years
* Index for easy reference
* Extensive list of definitions and concepts
* Updated biblography
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| Customer Reviews:
I own a previous edition March 7, 2006
Nicole Henry (UCLA Los Angeles, CA)
28 out of 30 found this review helpful
I own the second edition of this book and find it incredibly well done. I am a math major, and this book was recommended to me by a caring professor to help aid my transition between computational mathematics and the more abstract area of Mathematical Proofs.
It is a complete and easy to follow introduction to proofs. It quickly goes over the basic properties of numbers and symbols, then goes into direct proofs. It then explains the logic of using the contrapositive instead of using direct proof by showing truth trees of the statements. After that she goes over special types of theorems.
Everything is well documented and there are tons of examples. In her examples Antonella first explains the peculiarities of the proof she is about to attempt, and then she does the proof. That discussion is enlightening and her proofs are easy to follow.
I found going through this book was invaluable to my mathematics career. The level of difficulty of this book is very EASY, so it is perfect for going though on ones own. You will likely have much more difficult proofs in class, but by going through this book will become familiar with the techniques and ideas of Proofs, which is where most students have difficulty!
The book is small and does not feel like a textbook. It has about 80 pages of text and the rest of the book is solutions to exercises. The new edition is larger, but still relatively small, and so hopefully it has this same feel, and if nothing else is light enough to carry around!
When I was going through this book, I would carry it around in my purse with me--that is how small and portable and useful this treasure is.
WOW!!!! April 11, 2006
J. Scott (United Kingdom)
17 out of 18 found this review helpful
This book is like no other. Its short and to the point which means that the busy math major can actually sit down and read it! We all know how hard it is to try and read a wordy book on how to write proofs while at the same time trying to study abstract algebra! We dont need a full 100 pages on informal logic! Antonella Cupillari seems to understand this and sums up everything we need to know concerning logic in under 12 pages! Excellent book! Well worth the $32.95!
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