The Nuts and Bolts of Proofs, Third Edition | 
| Author: Antonella Cupillari
Publisher: Academic Press
Category: Book
List Price: $44.95
Buy New: $29.34
You Save: $15.61 (35%)
New (17) Used (8) from $29.34
Avg. Customer Rating:  2 reviews
Sales Rank: 319237
Media: Paperback
Edition: 3
Number Of Items: 1
Pages: 192
Shipping Weight (lbs): 0.7
Dimensions (in): 8.8 x 6 x 0.6
ISBN: 0120885093
Dewey Decimal Number: 511.36
EAN: 9780120885091
ASIN: 0120885093
Publication Date: June 3, 2005
Availability: Usually ships in 1-2 business days
|
| Also Available In:
|
| Similar Items:
|
| Editorial Reviews:
Product Description
The Nuts and Bolts of Proof instructs students on the basic logic of mathematical proofs, showing how and why proofs of mathematical statements work. It provides them with techniques they can use to gain an inside view of the subject, reach other results, remember results more easily, or rederive them if the results are forgotten.A flow chart graphically demonstrates the basic steps in the construction of any proof and numerous examples illustrate the method and detail necessary to prove various kinds of theorems.
* The "List of Symbols" has been extended.
* Set Theory section has been strengthened with more examples and exercises.
* Addition of "A Collection of Proofs"
|
| Customer Reviews:
WOW!!!! April 11, 2006
18 out of 19 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!
I own a previous edition March 7, 2006
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.
|
|
|
