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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This is a wonderful book. Written as a text for a one-semester “transition to higher mathematics” course, it introduces the undergraduate to logic and proofs and to the basic objects and language used in hammwck mathematics.

It is ideal for the many American undergraduates who come to college with little or no experience with proof or formal reasoning and need to be brought up to speed quickly in order to succeed in upper-level mathematics courses.

Would you like to tell us about a lower price? Richad you are richars seller for this product, would you like to suggest updates through seller support? 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. Although it may be more meaningful to the student who has had some calculus, there is really no prerequisite 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. Read more Read less. Discover Prime Book Box for Kids. Customers who bought this item also bought. Page 1 of 1 Start over Page 1 of 1. How to Prove It: A Structured Approach, 2nd Edition. How to Solve It: How to Think About Analysis.

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A Foundation for Computer Science 2nd Edition. Review This is a wonderful book.

Richard Hammack; Revised edition May 31, Language: I’d like to read this book on Kindle Don’t have a Kindle? Is this feature helpful? Thank you for your feedback. Share your thoughts with other customers. Write a customer review. See all customer images. Read reviews that mention easy to understand proof techniques discrete mathematics odd numbered easy read computer science available for free high school well written online for free almost nothing numbered problems solutions for odd recommend this book writing proofs discrete math exercises good free online like this book good examples.

Book of Proof: Richard Hammack: : Books

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Please try again later. I’ve bolk taken an interest in various types of algebras, but I realized I didn’t have the theoretical background. In preparation hammmack a live class in Abstract Algebra, I needed to learn to do formal proofs, and I didn’t want to sit through a full semester of that.


So I looked for a self-study book, and “Book of Proof” turned out to be the book. It’s tailor-made for self-study, and as a bonus, it’s very affordable. Hammack literally starts at the beginning, with the basics of notation, sets, logic, etc. He introduces proofs gently enough to allow a determined self-student stay with it.

There are plenty of exercises with odd-numbered solutions and these of course should not be skipped. Hammack then works through what amounts to a survey of various formal proof types, with plenty of examples and sufficient discussion.

All of the major types are covered. My one minor criticism is that I think proof by induction could have used more attention, but you can supplement that elsewhere if you have the need or the urge. I wouldn’t call this book either “deep” or “comprehensive” but that’s not a criticism. The book is what it should be, a survey course, and it’s at least enough to prepare a student for the next steps.

Combined ov a course in Linear Algebra, Abstract Algebra will come within reach, as will other higher-level, deeper, and more specialized courses.

Of course, it almost goes without saying that if you elect self-study, you’ve got to pay attention and work at things. But I’m finding the payoff is high. This is clearly the right book for home use. It’s lucid, literate, well-constructed, and affordable. Hats off to Dr. Hammack for his contribution to the determined learner. I am an undergraduate freshman student majoring in maths and physics. This year I am taking a course of Discrete mathematics and I shall say it is one of the easiest courses I ever had.

This is the book we use for our class and I truly enjoy it. The book is chaptered in a great, organized way. Every chapter has its subchapters and exercises after each subchapter. It is quick and easy studying with this book and all odd numbered problems have the solutions in the back, which is a nice way to check yourself.

The author has a suggestion for professors or individual students to use as a study plan the schedule that he presented in the beginning boook the book. The book is progressing through chapters and sometimes lack of the knowledge of previous chapters can become an obstacle in learning next ones. Discrete mathematics is the first steps of introduction of formal proof to maths students.

This is one of the most important areas of mathematics and very bpok. It is necessary to grasp the material of this course well to successfully progress further in mathematics. This is probably the best and most well-structured maths textbook I came across it is also superlight and I just love it! Online free copy is also available if you prefer to have it that way brief google search will help you find it.

Overall, regardless if you are a professor or a curious student, I definitely recommend this book for studying og maths. I’d never done any maths beyond year 10 jr high school and was given this as a supplemental text for a Discrete Mathematics course I was doing for computing. Needless to say I was completely out of my depth in the course. This book saved me and I passed. Since then my confidence with mathematics has grown and I have drawn on the richare in this book to understand other areas of ridhard not covered in the book such as Calculus.


What the book does best is reason. It presumes almost nothing of the reader and builds concepts from the very basic points incorporating formal definitions and proofs naturally as they are encountered.

I cannot recommend this book any more highly to people who are new to Mathematics. For a student of physics hamack has very little knowledge of abstract mathematics, this book really worked wonders. First things first, it has very clear and detailed notions. Every theorem, definition, and concept is explained through an example.

Also, the author shows exceptional command over his area of experties, i. Now to the cons, the paper quality is below average for a paper back. I personally do not like concepts, especially abstract concepts, to be explained with an example. They tend to muddle things. Moreover, sometimes the author tries a little ptoof hard to explain a concept and instead ends up leaving the reader in a glorified puddle of confusion.

All in all, a good book if you are willing to accept the above mentioned short comings. However, for a novice, this should be a good buy. I give five stars only for clarity. The author hits a very nice spot between rigor and understanding. The content does not claim any comprehensiveness, nonetheless the presentation leaves almost nothing to be desired. Kudos to the author. If you have read this lovely book and feel you still need to know more about proof, richadd the next step would be ‘How To Prove It’ by Velleman.

That is a beast of a book. Lots of exercises with a lot of Very clear, lots of examples of different types of proofs with some helpful, general ways to think through trickier proofs.

Book of Proof

Lots of exercises with a lot of worked out answers in hy back odds. My first encounter with this book was before I started my master’s in CS. I wanted to review my math and found this book. This book has opened my mind to the way I understood numbers. It is extremely well written and has a great flow to it.

Best math book I ever read.