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15 of 15 people found the following review helpful
5.0 out of 5 stars Wonderful into to rigorous mathematics, 29 Dec. 1998
By A Customer
This review is from: How to Prove It: A Structured Approach (Paperback)
I agree with Usispaul's comments.
I only want to add that this is a wonderful introduction to mathematical thinking. It is completely engaging, and not like other textbooks. [This is a rigorous math book (not a book about math) and covers the material of first course for mathematics majors, logic, sets, relations, functions.] There are exercises (do them!) and examples.
I took math in college, but this book made me want to know MORE about mathematics.
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24 of 26 people found the following review helpful
5.0 out of 5 stars MUST OWN!!!, 20 July 1999
By A Customer
This review is from: How to Prove It: A Structured Approach (Paperback)
I first purchased this book two years ago and became really excited when I found that I had it in me to write proofs. The truth be told, I have NOT STOPPED writing proofs since being inspired by this book. It is a masterpiece and I think ANY student approaching the writing of proofs for the first time couldn't possibly go wrong with an investment in a copy of this book. I also think that professors teaching a first class in abstract mathematics would be doing a service to their students by either requiring the book or giving it serious recommendation. AWESOME!!
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12 of 13 people found the following review helpful
5.0 out of 5 stars Engaging book on producing mathematical proofs, 18 Sept. 1997
By A Customer
This review is from: How to Prove It: A Structured Approach (Paperback)
The emphasis of Vellemans book on the difference between manufacturing a proof and the proof's final presentation speaks directly to the confusion of the uninitiated to proofs. It meets the (perhaps frequent) naive expectation of an invariable and immediate recognition of a polished proofs rhyme and reason. It consequently points to the often necessary autonomous efforts of the student to independantly unravel the proof of a theorem or definition.

The book moves rapidly from the necessary setential logic and truth tabels (a Wittgensteinian invention) to the chapters on proof writing and follows with chapters on functions, relations, closures, and more.
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5.0 out of 5 stars Very good purchase, 30 Jun. 2013
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This review is from: How to Prove It: A Structured Approach (Paperback)
The book is like new, but I have yet to read it. It's a book for who really loves Math
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How to Prove It: A Structured Approach
How to Prove It: A Structured Approach by Daniel J. Velleman (Paperback - 25 Nov. 1994)
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