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Reddit mentions of The Nuts and Bolts of Proofs, Third Edition: An Introduction to Mathematical Proofs
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Reddit mentions: 4
We found 4 Reddit mentions of The Nuts and Bolts of Proofs, Third Edition: An Introduction to Mathematical Proofs. Here are the top ones.
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Height | 9 inches |
Length | 6 inches |
Release date | June 2005 |
Weight | 0.7106380553308 pounds |
Width | 0.44 inches |
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The best prerequisite for first course in analysis is good calculus background I think, despite what courses your school might offer. It will help to have familiarity with basic techniques of proof: induction, contrapostive, argument by contradiction, etc and the language of sets. For this, you could look at many books; the Primer of real analysis that dpm1661 suggest looks good, also Nuts and bolts of proofs is very cool.
Try to abandon the online course/khan academy mentality preparing for real analysis. What I mean is this: video lectures and online explanations are pleasing and make you feel like you are learning a lot, but you are not developing problem solving /proof writing skills. You really need to spend most of your time solving problems/writing proofs yourself to develop these skills.
For getting more intuition on proofs I would suggest the following book
http://www.amazon.com/Nuts-Bolts-Proofs-Third-Introduction/dp/0120885093/ref=sr_1_1?ie=UTF8&qid=1311007015&sr=8-1
I think Rudin might be really tricky at your level, you can keep with it if you want, but I think Calculus by Michael Spivak would be much more approachable for you.
http://www.amazon.com/Calculus-4th-Michael-Spivak/dp/0914098918/ref=sr_1_1?s=books&ie=UTF8&qid=1311007057&sr=1-1
Hello,
I read The Nuts and Bolts of Proofs by Cupillari, to learn different types of proofs using only high school level math. You can get it used on Amazon for pretty cheap, http://www.amazon.com/Nuts-Bolts-Proofs-Third-Edition/dp/0120885093/ref=sr_1_2?ie=UTF8&qid=1346902086&sr=8-2&keywords=nuts+and+bolts+of+proofs.
My full review on the text is here: http://wespiser.blogspot.com/2012/01/nuts-and-bolts-of-proofs-by-antonella.html
Check out this book, The Nuts and Bolts of Proofs
http://www.amazon.com/Nuts-Bolts-Proofs-Third-Edition/dp/0120885093/ref=sr_1_1?ie=UTF8&qid=1343735427&sr=8-1&keywords=Nuts+and+Bolts+of+proofs
This book will get your comfortable writing proofs, and a lot of the problems are very introductory number theory problems like Spivak. I actually read this book while taking calculus using Spivak a few years ago. It was tons of help.