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

OpenLibra | Book of Proof

Others might see the lack of delineation between logic and axiomatics as a weakness. I have used this book as the primary text for such a course twice, a course with two main goals: Reviews, Ratings, and Recommendations: 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.

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However, in your calculus class you were probably far moreconcerned with how that theorem could be applied than in understandingwhy it is true.

While almost every chapter depends on chapters preceding it there are pockets that I think are optional. Depending on your Internet connection, the file may fail to open.

Book of Proof

But how do we know it is true? Apr 18, Chea Vutha Vichhea rated it it was amazing. Want to Read saving….

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 or how to derive proofs yourself.


Enter your search keywords. Anyway, this is actually a mathematic text book and is all about how to do mathematical proofs. One slight quirk is that the page numbers in the PDF file, due to introductory matter, are exactly 10 pages off from the page numbers appearing in the text, but it is easy to adapt to.

The author has clearly taken his time in developing a textbook that can be accessible and transferrable to subsequent courses.

It has a specific job, to teach basic proofs. This textbook is an introduction to the standard methods of proving mathematical theorems. It was a PDF version of a proof textbook. Thus, I would say it does a very nice job of both introducing students to proof and to intro number theory and combinatorics. Topics include sets, logic, counting, methods of conditional and non-conditional proof, disproof, induction, relations, functions and infinite cardinality.

You do not have license to alter content for anything other than personal use. Furthermore, the examples and figures are outstanding. Until this point in your education, you may have regarded mathematics primarily as a computational discipline. On the second role, the book lacks a sense of what the major might expect out of a mathematics degree and so when I use this book in a course I normally assign a cheap Dover secondary text for this purpose, along the lines of Ian Stewart’s “Concepts of Modern Mathematics,” the chapters of which naturally complement those of this text.

In this setting, your primary goal in using mathematics has been to compute answers. Jul 28, Michael Chan rated it it was amazing Shelves: That said, I don’t find myself often deviating from the text’s content because it meets my needs.


Well, not so with this book, or at least the digital download editionso well played. I love the content of this textbook. I also wish critical exercises to understanding that should be done were starred or something.

As a book used to transition students to upper level mathematics, this book does a very nice job of calling out mathematical language norms and writing norms. There is one question for which I contacted the author on.

I would recommend this textbook to any instructor who teaches introduction to mathematical proofs, and to any student who is being exposed to this subject for the first time or needs to review this material.

As it is a mathematics textbook, and particularly one on proof, notation and approaches to proofs adopted early in the text are used in the later chapters, but most readers will rarely if ever need to refer back to a previous chapter because of a reference in a later one. Then, the book moves on to standard proof techniques: There are certain unavoidable parts of the text that are self-referential.

A reversing of the order of Chapters 2 and 3 is also or I would recommend. Want to Read Currently Reading Read.