Proofs play a central role in advanced mathematics and theoretical computer science, yet many students struggle the first time they take a course in which proofs play a significant role. This bestselling text’s third edition helps students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. Featuring over 150 new exercises and a new chapter on number theory, this new edition introduces students to the world of advanced mathematics through the mastery of proofs. The book begins with the basic concepts of logic and set theory to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for an analysis of techniques that can be used to build up complex proofs step by step, using detailed ‘scratch work’ sections to expose the machinery of proofs about numbers, sets, relations, and functions. Assuming no background beyond standard high school mathematics, this book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and, of course, mathematicians.
Reviews (5)
5 reviews for How to Prove It: A Structured Approach
OFavorites
Rated 5 out of 5
August 24, 2023
It's a great introduction for math proofs, and not only that, it has a wide variety of exercises some of them pretty challenging. It's a great way to ...More
It's a great introduction for math proofs, and not only that, it has a wide variety of exercises some of them pretty challenging. It's a great way to study and learn how to write mathematical proofs
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AAbdullahi
Rated 5 out of 5
November 20, 2022
I love it, clear and great writing. The author gives very good examples and even though there is not solutions to all exercises at the end of the book...More
I love it, clear and great writing. The author gives very good examples and even though there is not solutions to all exercises at the end of the book, you learn so well that you can almost always verify your answers to be correct with great certainty.
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CSalazar
Rated 5 out of 5
July 10, 2022
Awesome awesome!
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J.M.
Rated 5 out of 5
March 20, 2022
Came in great condition. Very useful book.
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CKopech
Rated 4 out of 5
February 15, 2022
Not The Best Text At Teaching How To Write Proofs. First, This Text Is Very Verbose. Second, Clarity Is Lacking In Some Explanations. Third, The Text ...More
Not The Best Text At Teaching How To Write Proofs. First, This Text Is Very Verbose. Second, Clarity Is Lacking In Some Explanations. Third, The Text Does A Mediocre Job of explaining how to write proofs. Fourth - Richard Hammack's "Book Of Proof" Is Far Better, More Rigorous, And More Concise.
This Book Is A Good Reference, But If You Are Thinking Of Buying This Book, You Need To Buy "Book Of Proof" As Well - Best Math Text I've Ever Read, and I'm a Certified High School Math Teacher in Texas.
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This Book Is A Good Reference, But If You Are Thinking Of Buying This Book, You Need To Buy "Book Of Proof" As Well - Best Math Text I've Ever Read, and I'm a Certified High School Math Teacher in Texas.