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An Introduction to Mathematical Reasoning 1st Edition
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Top Customer Reviews
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!
An excellent supplement for a typical college text.
As per the content of the book itself, let me begin by what i liked in this book.
First off, this book is pretty good for self-study. I realize there is a reviewer who claims "For a student who is just learning mathematical proofs, this book is just horrible" but i beg to differ. Prior to this book, i have had only Calc I (limit and derivatives), Calc II (integration), and Calc III (multivariate). Those courses did not have any proofs whatsoever. So, this really was my first attempt to learn proof and boy this book helped!
The same reviewer also claims that the examples on the book "are awful and the author shortcuts many proofs"...and here i was about to say the detailed proofs author provides is the another strength of the book. The author of this book understands that students must learn some basic proof techniques such as proof by contradiction and induction. He goes ahead and provides a very well written layout for proofs which a starter might just memorize. Furthermore, in proofs that follow he first shows us how he approached the proof and then only the writes an formal proof.
last but not least, all exercises have a complete solution at the end of the book. This is quite helpful especially if you are self-studying. Plus there is a "problem set" which do not have solutions and can be assigned for homework. Be warned though these are relatively harder than the rest. This isn't just me saying, my classmates thought the same...even the professor agreed and often assigned problems of his own.
Most Recent Customer Reviews
This is an excellent text, and perfect for my needs, with clear prose and lots of example problems and puzzles to work through. Read morePublished 29 days ago by Will
This was an excellent mathematical reasoning book, written at a very appropriate level for an undergraduate with a budding interest in more rigorous mathematics beyond what most... Read morePublished 1 month ago by Derek O'Connor
Does a great job of introducing an inexperienced reader to the language of mathematical proofs. The exercises and provided solutions do a good job of reinforcing the concepts... Read morePublished 2 months ago by Dominic Gomez
Awesome textbook. I find it very enjoyable and readable, and the problems are challenging and require deep thought.Published 12 months ago by Mohammad Alkhadra
Got this book for a class and really enjoyed working on it.
I strongly recommend for those who are learning how to write proofs and getting into higher level... Read more
This online version was about half the price of the hard copy, but the formulas were inserted as graphics which did not enlarge, making them very tiny and hard to read... Read morePublished 20 months ago by Claire Gajary
I agree with almost everyone else that the book is a great introduction to the topic. There's one problem with the Kindle version, though: The text appears to have been scanned... Read morePublished 22 months ago by Amazon Customer
This is hands down the best introduction to logic and mathematical reasoning in my current library. I highly recommend this to anyone who needs to learn the basics of mathematical... Read morePublished on March 28, 2011 by David Karapetyan