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Title: An Introduction to Mathematical Reasoning : Numbers, Sets and Functions by Peter J. Eccles ISBN: 0-521-59718-8 Publisher: Cambridge University Press Pub. Date: 11 December, 1997 Format: Paperback Volumes: 1 List Price(USD): $32.00 |
Average Customer Rating: 4.8 (5 reviews)
Rating: 4
Summary: Now I know how beautiful proofs can be
Comment: This book provides a nice introduction to mathematical reasoning and proofs. My intention on purchasing this book was to learn how to perform mathematical proofs. I believe it has achieved that purpose. The text is easy to follow and the author presents the work clearly.
Rating: 5
Summary: Just buy this
Comment: I needed a book that covered fundamental background information behind mathematical proof techniques for an undergraduate univeristy level linear algebra class.
With this book, I was able to truly learn and understand the major concepts behind mathematical logic and proof. This text brings a whole new meaning to teaching the reader about being precise; and I mean the author does an extremely terrific job of doing just that. Wow!
Seriously, the focus here is on content so you won't find any sexy graphs or anything. The content is so good that I often felt that just by reading it I was propelled into a quasi- pseudo-lecture meeting.
After following this text, I can say that I now appreciate the act of being precise to the point that is required for mathematical proof. If you want to extend the knowledge of your 'white board' then just buy this thing. I am so glad I did.
BTW, I only needed the content from the first five chapters, I can't say much about the rest of the text. However, taking an inductive approach, I must assume that the other chapters are also very excellent. Yess, see it worked!
Rating: 5
Summary: Fabulous So Far.
Comment: I'm at the end of my first discrete mathematics course and have struggled to find clear explainations of how to write a proof, meaning how to choose what method and how to choose what the next statement should be to lead to the desired conclusion. I'm only on chapter five and it is a breath of fresh are to read this. Rather than just showing the completed proof Eccles shows the "scratch" work that goes into making the proof, discusses the reasoning and alternative paths, and then has the final proof that is easily understood.
An excellent supplement for a typical college text.
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Title: How to Read and Do Proofs : An Introduction to Mathematical Thought Processes by Daniel Solow ISBN: 0471406473 Publisher: Wiley Text Books Pub. Date: 06 July, 2001 List Price(USD): $42.95 |
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Title: How to Prove It : A Structured Approach by Daniel J. Velleman ISBN: 0521446635 Publisher: Cambridge University Press Pub. Date: 25 November, 1994 List Price(USD): $29.00 |
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Title: Concepts of Modern Mathematics by Ian Stewart ISBN: 0486284247 Publisher: Dover Pubns Pub. Date: 01 February, 1995 List Price(USD): $12.95 |
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Title: Foundations and Fundamental Concepts of Mathematics by Howard Eves ISBN: 048669609X Publisher: Dover Pubns Pub. Date: 20 May, 1997 List Price(USD): $16.95 |
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Title: Proofs and Fundamentals: A First Course in Abstract Mathematics by Ethan D. Bloch ISBN: 0817641114 Publisher: Birkhauser Boston Pub. Date: May, 2000 List Price(USD): $49.95 |
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