How to Prove It - A Structured Approach

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.

Product details

• Authors: Daniel J. Velleman, Daniel J. (Amherst College Velleman, Velleman Daniel J.
• Publisher: Cambridge University Press Academic
• Languages: English
• Product format: Paperback / Softback
• Released: 30.09.2019
• EAN: 9781108439534
• ISBN: 978-1-108-43953-4
• Dimensions: 155 mm x 230 mm x 20 mm
• Subjects: Humanities, art, music; Natural sciences, medicine, IT, technology; Mathematik, Kommunikationswissenschaft, Algorithmen und Datenstrukturen, Kryptologie, Mengenlehre, Algorithmus, Kodierungstheorie und Verschlüsselung (Kryptologie), COMPUTERS / Information Theory, Diskret (mathematisch), Diskrete Mathematik, Informationstheorie, Datenverarbeitung / Datenverschlüsselung, Kryptografie, MATHEMATICS / Logic, MATHEMATICS / Discrete Mathematics, COMPUTERS / Programming / Algorithms, Menge - Mengenlehre, MATHEMATICS / Set Theory, MATHEMATICS / Combinatorics, algorithms and data structures, Discrete Mathematics, Algorithms & data structures, Information theory, Coding theory & cryptology, Mathematical logic, Coding theory and cryptology, Set theory