Building Proofs: A Practical Guide - Rilegato

Oliveira, Suely; Stewart, David

Rilegato

ISBN 10: 9814641294 ISBN 13: 9789814641296

Casa editrice: World Scientific Pub Co Inc, 2015

Riassunto

This book introduces students to the art and craft of writing proofs, beginning with the basics of writing proofs and logic, and continuing on with more in-depth issues and examples of creating proofs in different parts of mathematics, as well as introducing proofs-of-correctness for algorithms. The creation of proofs is covered for theorems in both discrete and continuous mathematics, and in difficulty ranging from elementary to beginning graduate level.Just beyond the standard introductory courses on calculus, theorems and proofs become central to mathematics. Students often find this emphasis difficult and new. This book is a guide to understanding and creating proofs. It explains the standard “moves” in mathematical proofs: direct computation, expanding definitions, proof by contradiction, proof by induction, as well as choosing notation and strategies.

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Recensione

Chapter five is the shortest but the most interesting and helpful. I could see this as a book used for both a freshman seminar and a senior level capstone course ... Students could use the book as a reference or exercises could be assigned from each chapter. I would also recommend this book to a senior math major planning on attending graduate school as a reference or for summer reading. --Mathematical Association of America

Dettagli dell'edizione

• Editore: World Scientific Pub Co Inc
• Data di pubblicazione: 2015
• Lingua: Inglese
• ISBN 10: 9814641294
• ISBN 13: 9789814641296
• Rilegatura: Copertina rigida
• Numero di pagine: 164
• Contatto del produttore: non disponibile
• Persona responsabile: GPSR Kontakt; gpsr@libri.de; ; Europaallee 1; Bad Hersfeld; 36244; Germania