Mathematical Proofs: A Transition to Advanced Mathematics (2nd Edition) | 
| Authors: Gary Chartrand, Albert D. Polimeni, Ping Zhang
Publisher: Addison Wesley
Category: Book
List Price: $124.00
Buy New: $93.85
You Save: $30.15 (24%)
New (25) Used (13) from $93.85
Avg. Customer Rating:  10 reviews
Sales Rank: 9504
Media: Hardcover
Edition: 2
Number Of Items: 1
Pages: 384
Shipping Weight (lbs): 1.8
Dimensions (in): 9.3 x 7.5 x 0.8
ISBN: 0321390539
Dewey Decimal Number: 511.36
EAN: 9780321390530
ASIN: 0321390539
Publication Date: October 13, 2007
Availability: Usually ships in 1-2 business days
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Product Description
Mathematical Proofs: A Transition to Advanced Mathematics, 2/e, prepares students for the more abstract mathematics courses that follow calculus. This text introduces students to proof techniques and writing proofs of their own. As such, it is an introduction to the mathematics enterprise, providing solid introductions to relations, functions, and cardinalities of sets. KEY TOPICS: Communicating Mathematics, Sets, Logic, Direct Proof and Proof by Contrapositive, More on Direct Proof and Proof by Contrapositive, Existence and Proof by Contradiction, Mathematical Induction, Prove or Disprove, Equivalence Relations, Functions, Cardinalities of Sets, Proofs in Number Theory, Proofs in Calculus, Proofs in Group Theory. MARKET: For all readers interested in advanced mathematics and logic.
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| Customer Reviews: Read 5 more reviews...
 Great for a beginning mathematician October 3, 2008
1 out of 1 found this review helpful
I really love this book. As a math minor I was given the freedom to "skip" certain courses which cover the basics of abstract mathematics to prepare for the higher-level stuff. I bought this book so that I could read up on logic and proofs, and man this book is great for that. It covers the basics of sets, logic and several proof techniques in a very organized and detailed manner. The book is also very well-written and every chapter has a decent number of exercises that I suggest you do, in full. What more can I say? This is a great book. I'm now a math major, and am taking Analysis I and I still look back to this book for reference. I didn't like the price, though. If you can get it used, get it.
the best book ever July 5, 2008
0 out of 1 found this review helpful
very, very, good book for those who are taking Proofs and want to learn how to proof some problems in math......
A veil has been lifted... March 29, 2008
3 out of 3 found this review helpful
This book pretty much changed my life. My only regret is I didn't find it earlier. What different choices would I have made if I were comfortable with mathematical proofs in high school or early college? I recommend this book to anyone who has an interest in understanding mathematics but for whatever reason never learned or were never taught it by their teachers in school - I'm certain I was never taught these ideas. This book is great for self study and the material should be accessible to most high school students.
The book starts off with basic ideas about sets and some logic. The real "Aha!" moment for me was the explanation of implication and biconditional in chapter 2 and how they're used in direct proofs in chapter 3. The examples about even/odd numbers are perfect for someone feeling their way thru new ideas.
After reading this book I went back to college as an adult and obtained a BS in mathematics. It's foolish to dwell on what might have been, but one can only imagine.
You would never guess that learning proofs could be this easy January 9, 2008
1 out of 3 found this review helpful
I own the first edition. Although it it has a high price compared to many other books that cover introductory proofs, it is a purchase that I have never regretted. My personal favorite chapter is #3. For me it was the breakthrough chapter. For those that have not read the book, the authors take the simple idea of even and odd integers, and use them to present the basic nuts and bolts of proofs, a real eye opening chapter!
OK, I went ahead and bought the second edition... If you want to save about $40 on a new purchase, get this book from Pearson International Publishing. They will not see you a book in the USA or Canada, but you can buy it from an international book seller (EG: find one in the UK). If even at discount the price is too high, get the book from your library. If they do not have it, use the interlibrary loan service.
I do want to say my praise of this book should not be taken as a condemnation of other books by other authors. Again, use your library to see the various approaches are to learning to do proofs in mathematics. Also look at logic and proofs in the philosophy section of your library.
j.
 Obscene "Textbook" Pricing Blemishes Otherwise Great Book September 18, 2007
8 out of 8 found this review helpful
If you look at the "Customers Who Bought This Item Also Bought" section on this page you will see several highly rated books that cover similar topics. They all are priced approximately $100 less than this book because Addison-Wesley (the publisher) has decided to market _Mathematical Proofs_ as a text-book rather than a book-book.
This is tragic. The only people who will encounter this fantastic text are students with no choice but to suffer the rapacious fancies of textbook publishers.
I was once such a student. Everything Penelope W. Yaqub "Fawzi M. Yaqub" says in her review is spot on. I have kept only three books on my personal shelf from my days as an undergraduate in mathematics. This slim volume is one of those.
I recommend this book to anyone -- whether a student or hobbyist -- wanting to better their understanding of what mathematics is really about. It is also great training for thinking logically about all topics, from mathematics to current events
I would have rated this 5 stars if the cover price were not so outrageous.
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