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  • How to Prove It by Daniel J. Velleman book cover
  • How to Prove It by Daniel J. Velleman book cover
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How to Prove It

by Daniel J. Velleman

A structured introduction to mathematical proof

$51.90 USD
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AlbakiReads Editorial

A structured introduction to mathematical proof

Daniel J. Velleman’s *How to Prove It* bridges familiar problem-solving and the more formal work of proving theorems. It starts with logic and set theory, then develops techniques for constructing proofs about numbers, sets, relations, and functions. Detailed “scratch work” sections make the steps behind proof-building part of the instruction, while the revised third edition adds a chapter on number theory and more than 150 exercises. The book assumes only standard high school mathematics, making proof methods its central subject rather than a prerequisite.

Good fit for readers who enjoy

  • Students beginning a course that emphasizes mathematical proofs
  • Readers in mathematics, theoretical computer science, philosophy, or linguistics interested in logic and proof techniques

Themes

Mathematical logicSet theoryProof constructionNumber theory

Based on publisher information and book metadata.

Book overview

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.
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