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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The book starts with the basics of set theory, logic and truth tables, and counting.

Book of Proof

Numerous examples are intertwined with introduction of concepts and thoughtful exercises echo the themes of each section. I understand the intention of the section, hakmack I praise the author for putting in a section like this since most mathematics textbooks do not, but it prooc to be “good or bad” instead of what the author stated, “good or bad writing is sometimes a matter of opinion. Just a moment while we sign you in to your Goodreads account.

I wish the exercises had a difficulty ranking e.

Book of Proof by Richard Hammack

Dzmitry Horbach rated it it was amazing Sep 18, The book’s structure definitely allows for these sorts of easy changes. The text is very easy to navigate, and hammqck are no issues with the PDF files.

The students are all prospective middle and high school teachers, and the main goals are to prepare them for upper level mathematics courses involving proofs, and to give them a brief introduction to discrete mathematics. A reversing of the order of Chapters 2 and 3 is also something I would recommend.

I went thru the exercises, and took me awhile to finish, but it was enjoyable. proo

Mar 25, Brian C Albrecht rated it it was amazing Shelves: I picked this book up because I’m teaching myself Abstract Algebra for which one must be able to prove things and it would be nice to see a list of books recommended by Richard Hammack that go deeper on some of the topics he touched hwmmack in Book of Proof. Luis rated it really liked richaard Nov 12, Material has been edited for clarity, typos have been corrected, and some new exercises have been added.


It will be well worth the effort. I do use Chapter 3 combinatorics and add on some graph theory later on in the course. Students, who were expected to read considerable sections of the text before coming to class also reported that the text was very good and they liked that the price was right!

Comments I really enjoy this book and love that it is free for my students. I highly recommend any transition-to-proof or introduction-to-proof course be taught with this textbook. Lee rated it it was amazing Mar 25, Enda rated it it was amazing Jun 19, The interface was fine. This book is an introduction to that realm. Other than this, I found the text to be not culturally insensitive or offensive. This book is by far one of the best, if not, the best introduction to mathematical reasoning.

You do not have license to alter content for anything other than personal use. It’s a great book. Richard Hammack is clearly an adept teacher; he masterfully structured this book with a range of student exposure to the material in-mind.

Getting over that, I’m assuming anyone who would look at this book would know what to expect from it. Logic is fundamental because it allows us to understand the meanings of statements, to deduce information about mathematical structures and to uncover further structures.

About the Book This is a book about how to prove theorems.


You have learned to solveequations, compute derivatives and integrals, multiply matrices and finddeterminants; and you have seen how these things can answer practicalquestions about the real world. Thiswill prepare you hammqck advanced mathematics courses, for you will be betterable to understand proofs, write your own proofs and think critically andinquisitively about mathematics.

I found no discrepancies while reading.

Book of Proof – Open Textbook Library

I believe that the clarity of the text is wonderful, with the exception of one section. 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. It’s not a great book in the sense that The Great Gatsby is. The text proceeds with one major topic per chapter suitable for discussing most chapters in one to two class periods.

Nov 12, Parnell rated it it was amazing. This book is excellent for an introduction to mathematics proofs course. After the first exam, we will do some combinatorics, and then go back and prove things about combinatorics and add in inductive proof techniques.

In this approach, the primary goal is to understandmathematical structures, to prove mathematical statements, and evento invent or discover new mathematical theorems and theories. Here the primary goal is to understand mathematical structures, to prove mathematical statements, and even peoof invent or discover new mathematical theorems and theories.