PDF Download How to Read and Do Proofs: An Introduction to Mathematical Thought Processes, by Daniel Solow
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How to Read and Do Proofs: An Introduction to Mathematical Thought Processes, by Daniel Solow
PDF Download How to Read and Do Proofs: An Introduction to Mathematical Thought Processes, by Daniel Solow
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This text makes a great supplement and provides a systematic approach for teaching undergraduate and graduate students how to read, understand, think about, and do proofs. The approach is to categorize, identify, and explain (at the student's level) the various techniques that are used repeatedly in all proofs, regardless of the subject in which the proofs arise. How to Read and Do Proofs also explains when each technique is likely to be used, based on certain key words that appear in the problem under consideration. Doing so enables students to choose a technique consciously, based on the form of the problem.
- Sales Rank: #394056 in Books
- Published on: 2013-07-29
- Original language: English
- Number of items: 1
- Dimensions: 8.90" h x .50" w x 5.70" l, .0 pounds
- Binding: Paperback
- 336 pages
Review
"The instructional material is to the point, with well-considered examples and asides on common mistakes. Good examples of the author's thoughtfulness appear in the discourses on pp. 5-6 of identifying the hypothesis and conclusion when they are not obvious, on pp. 28-29 regarding overlapping notation, and on pp. 190-191 of the advantages and disadvantages of generalization." (Zentralblatt MATH 2016)
Most helpful customer reviews
8 of 8 people found the following review helpful.
Came Recommended
By Joel B
This book is among a handful that are recommended for new college math majors, minors, and probably a larger group, computer science students who have to take discrete math. I came across it on a discrete math syllabus. It seems very well put together, some seem to prefer the Velleman, others prefer this. The 2 negative reviews are not actually reviews, just people who could not figure out their kindle, and they should probably be deleted.
A benefit of this book is that there are 15 lectures as well as other supplemental material at the wiley website. Personally I bought this as well as the Velleman, and a few others, to try to prep as much as I can, and to have on hand for reference. There is a ton of material out there on college-level math, but not all of it is well organized, clear, and systematic like this.
1 of 1 people found the following review helpful.
This book is the key to unleashing your full mathematical potential.
By Jesus B Reyes
Prior to discovering this book, I have read tons of guides and books on how to do proofs. I am an undergrad just entering my final year. I have YET to fully comprehend how to do proos properly. Every book, auther, or professor speaks about proofs without understanding where the bottle neck in a student's knowledge lies.
Daniel Solow is the messiah or me. I was lost but now I am found. He sheds away the fluff and gives you a true distilled approach to the matter. By the first two chapthers alone is worth the "price of admission". He gives you a strong foundation in order to build upon. I went back to old proofs that were assigned for homework and I see them with much greater clarity.
All I can say is thank you Daniel for showing me the way to become a better mathematician. You don't even need calculus! I wish I read this a lot sooner...
0 of 0 people found the following review helpful.
... a stupendous job of teaching difficult material in an easily comprehensible
By JP
Daniel takes the reader by the hand and does a stupendous job of teaching difficult material in an easily comprehensible manner
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