Daniel J.Velleman
How to Prove It: A Structured Approach
How to Prove It: A Structured Approach
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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. It features over 150 new exercises and a new chapter on number theory and assumes no background beyond standard high school mathematics.
Format: Hardback
Length: 468 pages
Publication date: 18 July 2019
Publisher: Cambridge University Press
Proofs play a crucial role in advanced mathematics and theoretical computer science, yet many students face challenges when embarking on courses that heavily emphasize proof-based reasoning. This bestselling text, now in its third edition, aims to assist students in transitioning from problem-solving to theorem-proving by imparting the essential techniques for reading and writing proofs. With over 150 new exercises and a dedicated chapter on number theory, this updated edition introduces students to the realm of advanced mathematics by empowering them with the mastery of proofs. The book begins by covering the fundamental concepts of logic and set theory, providing students with a solid foundation in the language of mathematics and its interpretation. These concepts serve as the basis for an in-depth analysis of techniques that can be employed to construct complex proofs step by step, utilizing detailed scratch work sections to expose the underlying mechanisms of proofs concerning numbers, sets, relations, and functions.
Assuming a basic background in standard high school mathematics, this book is valuable to a wide range of individuals interested in logic and proofs, including computer scientists, philosophers, linguists, and, of course, mathematicians. By mastering the art of proof, students will gain a deeper understanding of mathematical concepts, strengthen their analytical skills, and enhance their ability to solve complex problems. Whether you are a student seeking to expand your mathematical horizons or a professional looking to enhance your proof-writing proficiency, this text is an indispensable resource for anyone passionate about the study of mathematics and logic.
Weight: 820g
Dimension: 159 x 234 x 28 (mm)
ISBN-13: 9781108424189
Edition number: 3 Revised edition
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