Book of Proof. (5 reviews). Richard Hammack, Virginia Commonwealth University . Pub Date: ISBN Publisher: Independent. Book of Proof has ratings and 11 reviews. David said: Playing with Numbers22 June – Sydney Well, what do you know, a university textbook that. This free book is an introduction to the language and standard proof methods of mathematics. – free book at
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I wish the exercises had a difficulty ranking e. The numerous examples and diagrams used are useful, not only to make the material easier to understand, but also to motivate students to learn more. This book is, honestly, my first encounter with a thorough introduction to rigorous reasoning and argumentation.
Virginia Commonwealth University Pages: Luiz Gustavo rated it really liked it Jan 14, Forexample, in computing the area under a curve, you use the fundamentaltheorem of calculus. I’ve asked my students if they find the book useful and many have said they rely heavily on it.
Book of Proof – Open Textbook Library
Views Downloads Reads Likes This may take several minutes. I also wish there hamjack a bit more history after the critical technical information. Reviews, Ratings, and Recommendations: This book covers all of the needed proof techniques and gives interesting examples for them. The book is consistent in its use of definitions, diagrams, and terminology.
Material has been edited for clarity, typos hamnack been corrected, and some new exercises have been added. I went thru the exercises, and took me awhile to finish, but it was enjoyable. Each chapter further has a number of sections typically which make it easy to follow the book’s progression and to find relevant topics.
As mentioned previously, there are a few topics I feel the need to supplement when I teach, but on the whole I have felt very comfortable making this book an integral part of my course. In the second group the proofs will be selected mainly for their hamack. For instance, I like how the book explains the differences among theorems, lemmas, corollaries, and propositions, since students sometimes are confused by such labels.
New terms are always carefully defined, and a number of useful diagrams throughout the text add to the clarity of the explanations. It was a PDF version of a proof textbook. Luis rated it really liked it Nov 12, Books by Richard Hammack.
Book of Proof
Mar 08, hyacinth rated it it was amazing. In the long run, the text might benefit from a mathjax-designed interface like that of, say, Judson’s “Abstract Algebra. Second, there are tons of completely written-out proofs in the answers section at the back. I will be incorporating these sections in my future courses due to the elegant way the author has handled these techniques.
He works mostly in the areas of combinatorics and graph theory. I also wish there were a “what to read next” appendix or something for the autodidact.
Comments Although there are certain aspects of the text I would modify, these aspects are minute compared to the amount of understanding and depth that the author introduces.
I hamkack that these are very significant things, and that they are sufficient for anyone teaching a course of this nature to consider adopting this text. In fact when I did Law you could be assured that the yearly book bill would run into the hundreds of dollars. It seemed like I was scolded during the section.
Book of Proof by Richard Hammack
You can get the PDF for free on Prof. The statement is Feb 06, David Molnar rated it it was amazing. Relations, Functions and Cardinality.
The book’s chapters are divided into four parts Fundamentals; How to Prove Conditional Statements; More on Proof; and Relations, Functions and Cardinalityand each part logically follows from the previous ones in a clear way. There is a potentially useful chapter on combinatorics – basic stuff multiplication principle, factorials, Pascal’s triangle, a little inclusion-exclusion that we can’t hqmmack assume our students have seen in high school.
It is because this theorem is true that your answer is correct. Click here to find out.