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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Then, the book moves on to standard proof The fundamentals of set theory, logic, and counting techniques are covered in chapter I. Relations, functions, and cardinality follow in chapter IV.

Book of Proof by Richard Hammack

Second, there are tons of completely written-out proofs in the answers section at the back. 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. The book ends with additional topics in relations, functions, and cardinality of sets.

The students are all booj 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.

Book Description This book is an introduction to the language and standard proof methods of mathematics.

The online interface is a rihard pdf that appears just as you would expect from the hardcopy. At that job, it is the best book available. Thanks to the readers who wrote to report mistakes and typos!


Book of Proof – Open Textbook Library

But how do we know it is true? It’s not a great book in the sense that The Great Gatsby is.

In this approach, the primary goal is to understandmathematical structures, to prove mathematical statements, and evento invent or discover new mathematical theorems and theories. While spending a few hours reading the book, I did not find any inaccuracies.

Book of Proof by Richard Hammack

I studied it in my personal study hour in the morning before work. The index is provided and extensive. 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. There are no discussion topics on this book yet. There are certain unavoidable parts of the text that are self-referential.

Dienekes rated it it was amazing Sep 04, The book in numbers Reload data. A Introduction to Proofs and the Mathematical Vernacular by Hammack Day – Virginia Tech The book helps students make the transition from freshman-sophomore calculus to more proof-oriented upper-level mathematics courses. This book covers all of the needed proof techniques and gives interesting examples for them.

It introduces the fundamental concepts of Discrete Mathematics and Proofs.

I would recommend this textbook to any instructor who teaches introduction to hammacck proofs, and to any student who is being exposed to this subject for the first time or needs to review this material. I’m admittedly not very good at proofs. The material covered in this textbook is very relevant and fundamental in mathematics, and this book covers all of the main topics. It is very easy to just do a search for terms to get there quickly, but this would be a great uammack.


I think this is prolf real shame — a price we have paid collectively for emphasizing yammack chiefly as a technocratic and scientific problem solving discipline as opposed to a humanistic and democratic problem framing one — but this is not a stick I wish to beat this text with, or at least this text alone. Two things stand out about Book of Proofcompared not only to other free books, but compared to any other books for a “proofs” or “transitions” course: 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 I was impressed by how easy to read and well organized this textbook is.

Jun 23, David Sarkies rated it really liked it Shelves: On the first role, the book really shines in its treatment of logic — sentences with quantifiers and their negations — methods of proof, induction basic and generalequivalence relations, functions, and cardinality.

I use this book for a “Discrete Mathematics for Educators” course. How many runways in a particular airport? His writing is lucid and structured just as well as the book is with sentences that are explicit ruchard clear and consistent.