Book of Proof. (5 reviews). Richard Hammack, Virginia Commonwealth University . Pub Date: ISBN Publisher: Independent. Proofs in Calculus. § and. § used in some e x ercises. Ignore them if. Chap ter. 3 is omitted. § used in tw o e x ercises. Richard Hammack. Book of. Book of Proof has ratings and 11 reviews. David said: Playing with Numbers22 June – Sydney Well, what do you know, a university textbook that.

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Book of Dichard by Richard Hammack. This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses such as calculus or differential equations that students typically encounter in their first year of college to a more abstract outlook. It lays a foundation for more theoretical courses such as topology, analysis and abstract algebra. Alth This book is an introduction to the language and standard proof methods of mathematics.

Although it may be more meaningful to the student who has had some calculus, there is really no og other than a measure of mathematical maturity.

Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality. Paperbackpages. Published May 31st by Richard Hammack first published To see what your friends thought of this book, please sign up. To ask other readers questions about Book of Proofplease sign up. Lists with This Book. Jun 23, David Sarkies rated it really liked it Shelves: In fact a University text book that actually costs you absolutely nothing.

Yeah, I remember the last time I was at Uni and the most expensive aspect of it was the books well, yes, the fees, but the government technically pays for that.

Book of Proof by Richard Hammack

In fact when I did Law you could be assured that the yearly book bill would run into the hundreds of dollars. Well, not so with this book, or at least the digital download editionso well played. In fact since when did idiots actually follow any structural form in their arguments, except for attempting to shut you down through the use of some fallacy, and then proceed to employ that fallacy in their own arguments. Anyway, this is actually a mathematic text book and is all about how hamkack do mathematical proofs.

So, once you had thought you pretty much had a good grasp on anything and everything mathematical you suddenly land up at your first day at uni only to discover that the maths you thought you know has become incredibly insane. Like richarc, more than one! Yeah, seriously, maths really does mess with your head. Then again, if Cantor had read his history, he would have known all about this because hammaxk somebody attempting to break the mold and introduce something a little different, there would be a huge reaction.

You know, bpok the number zero, which European mathematicians avoided because it was, well, an Arab concept. Feb 06, David Molnar rated it it was amazing. I have used this as a supplemental text in a few courses, and would totally consider adopting it as the primary text for the right course. There is certainly enough here for a full semester’s work. And, it’s open source, which means it is not only free the author’s website is a google away but also remixable – meaning, you are free to create and distribute your own version of the text under a creative commons license http: Very little is assumed of the reader at the beginning, which surprisingly is not a given for such a text.


There is a potentially useful chapter on combinatorics – basic stuff multiplication principle, factorials, Pascal’s triangle, a little inclusion-exclusion that we can’t necessarily assume our students have seen in high school.

Standard techniques including proof by contradiction and mathematical induction are well-represented.

The material on cardinality at the end of the book is nice. Two things stand out about Book of Proofcompared not only to other free books, but compared to any richatd books for a “proofs” or “transitions” course: Second, there are tons of completely written-out proofs in the answers section at the back.

I contend that these are very significant things, and that they are sufficient for anyone teaching a course of this nature to consider adopting this text.

I see no reason not to ot least add it as a supplemental text ny not just in the “transitions” course, but for other courses where students will be struggling with the same issues, eg.

Nov 12, Parnell rated it it was amazing. This is an excellent book if you want to know how to read and understand proofs or how to derive proofs yourself. I can confidently recommend this book to autodidacts. I studied it in my personal study hour in the morning before work. Richard Hammack is clearly an adept teacher; he bopk structured this book with a range of student exposure to the material in-mind. From the complete beginner as in my case, I only had highschool algebra with some non-rigorously, self-taught compsci to the m This is an excellent book if you want to know how to read and understand proofs rkchard how to derive proofs yourself.

From the complete beginner as in my case, I only had highschool algebra with some non-rigorously, self-taught compsci to the more proficient, if you don’t feel confident with proofs, Hammack has your back.

His writing is lucid and structured just as well as the book is with sentences that are explicit and clear and consistent. I’m admittedly not very good at proofs. 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 as 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 of something in the future.

This book is, honestly, my first encounter with a thorough introduction to rigorous reasoning and argumentation. I think this book is a classic and any autodidact that doesn’t already know how to read and do proofs should spend four months of their life picking up the fundamentals from this book.

It’s a great book.

If the author ever ends up reading this: I wish the exercises had a difficulty ranking e. I also wish critical exercises to understanding that should be done were boo, or something. I also wish there was a bit prkof history after the critical technical information. I also wish there were a “what to read next” appendix or something for the autodidact. I picked this book up because I’m teaching myself Abstract Algebra for which one must be able to booo things and it would be nice to see a list of books recommended by Ricjard Hammack that go deeper on some of the topics he touched on in Book of Proof.


Aug 28, Kyle rated it it was amazing. Hammacks’s Book of Proof is a wonderful introduction to the world of upper division mathematics. Hammack gently leads the reader through many important mathematic concepts that are taken as understood by the reader in many upper fo classes. This books is a must read for anyone going into upper division math, regardless of major!

Jul 28, Michael Chan rated it it was amazing Shelves: It introduces the fundamental concepts of Discrete Mathematics and Proofs. You will learn the basic syntax languages used by Mathematicians. The theories are explained with Proofs, described in a clear and concise way, with sufficient exercises at the end. I went thru the exercises, and took me awhile to finish, but it was enjoyable. Direct, Contrapositive, Contradiction, Induction, etc.

Apr 18, Chea Vutha Vichhea rated it it was amazing. This book is by far one of the best, if not, the best introduction to mathematical reasoning. It is much clearer, readable and enjoyable compared to Velleman “How to Prove It: Don’t try to use this book to win an argument against your wife. Mar 25, Brian C Albrecht rated it it was amazing Shelves: I feel weird giving 5 stars to a book about proofs. It’s not a great book in the nook that The Great Gatsby is.

Getting over that, I’m assuming anyone who would look at this book prroof know what to expect from it. It has a specific job, to teach basic proofs. At that job, it is the best book available. You can get the PDF for free on Prof. Hammack’s website, but I bought the physical copy.

Hakmack before you start your Real Analysis course with Baby Rudin or your graduate economics courses with proof I feel weird giving 5 stars to a book about proofs. So before you start your Real Analysis course with Baby Rudin or your graduate economics courses with proofs, work through this book. It will be well worth the effort. If you have done richhard proofs, this book isn’t for you. That’s not the book’s fault. Mar 08, hyacinth rated it it was amazing.

Book of Proof by Richard Hammack

More succinct than Velleman’s How to Prove It. Hmmack 28, Ramesh marked it as to-read. Thus far, the most accessible illustration of the implication operation’s logic table Dienekes rated it it was amazing Sep 04, Dzmitry Horbach rated it it was amazing Sep 18, Kimberly Hendrickson rated it really liked it Dec 10, Roderic hy it it was amazing Dec 08, Luis Cota rated it really liked it Jul 17,