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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Please let me know if you use Book of Proof in your classes. At that job, it is the best book available. This book is an introduction to that realm.
Book of Proof by Richard Hammack
Jul 28, Michael Chan rated it it was bpok Shelves: The statement is Material has been edited for clarity, typos have been corrected, and some new exercises have been added. This textbook covers an excellent choice of topics for an introductory course in mathematical proofs and reasoning. It introduces the fundamental concepts of Discrete Mathematics and Proofs.
This book is excellent for an introduction to mathematics proofs course. Trivia About Book of Proof. I understand the intention of the section, and I praise the author for putting in a section like this since most mathematics textbooks do not, but it seemed to be “good or bad” instead of what the author stated, “good or bad writing is sometimes a matter of opinion.
Hammack gently leads the reader through many important mathematic concepts that are taken as richarf by the reader in many upper division classes.
The author has clearly taken his time in developing a hwmmack that can be accessible and transferrable to subsequent courses. This would get a higher rating if I could. Mar 08, hyacinth rated it it was amazing. This text has been used in classes at: Likewise, the perfect number theorem’s proof felt like a jump too high for many students so if time is pressing one could opt to postpone these topics in Chapters 7 and 8 respectively.
I also wish there were a “what to read next” appendix or something for the autodidact. The diagrams, charts, boxes, tables, headings, and the use of boldface and italic font to indicate definitions and other key concepts, are very helpful to better organize the material.
The text is not culturally insensitive or offensive in any way. There is certainly enough here for a full semester’s work. 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. I had to re-read the chapter on Mathematical Induction and I had to redo all of the first twenty two exercises succeeding with more the second time through and running out of motivation on the otherseven so, I feel booo though I have access to tools now that I never really knew existed and I feel secure in the knowledge that I can also refer back to this excellent book if I’m ever unsure oroof something in the future.
Direct, Contrapositive, Contradiction, Induction, etc.
In this setting, your primary goal in using mathematics has been to compute answers. The material on cardinality at the end of the book is nice. I also wish critical exercises to understanding that should be done were starred or something.
Thanks for telling us about the problem. Questions of this nature belong to thetheoretical realm of mathematics. These techniques will be useful in more advanced mathematics courses, as well as courses in statistics, computers science, and other areas.
What I wanted from the text was to somehow incorporate the additional nuances that make eBooks slightly better than paper. If the author ever ends up reading this: Most of the proofs in this book should be accessible to a middle grade school student.
A reversing of the order of Chapters 2 and 3 is also something I would recommend. Dzmitry Horbach rated it it was amazing Sep 18, Open in the browser Download. More succinct than Velleman’s How to Prove It. Table of Contents Chapter 1: Another goal is to train students to read more involved proofs they may encounter in textbooks and journal articles.
You can get the PDF for free on Prof.
Book of Proof by Richard Hammack
Luis Cota rated it really liked it Jul 17, Please contact me if you find any additional mistakes, no matter how minor. There are certain unavoidable parts of the text that are self-referential. The material covered in this textbook is very relevant and fundamental in mathematics, and this book covers all of the main topics. If you like books and love to build cool products, we may be looking for you.
Comments I have taught using this textbook in an introduction-to-proofs course over four semesters, and I am in general very satisfied with it. The online interface is a plain pdf that appears just as you would expect from the hardcopy. 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.
This text is intended for a transition or introduction to proof and proving in undergraduate mathematics. I thought that section 5.
One could rearrange the order in which sections and topics in each chapter are covered, although it would be more challenging to rearrange chapters II, III, and IV without covering chapter I first.