How to Prove It

How to Prove It
Author :
Publisher : Cambridge University Press
Total Pages : 401
Release :
ISBN-10 : 9780521861243
ISBN-13 : 0521861241
Rating : 4/5 (241 Downloads)

Book Synopsis How to Prove It by : Daniel J. Velleman

Download or read book How to Prove It written by Daniel J. Velleman and published by Cambridge University Press. This book was released on 2006-01-16 with total page 401 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write 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 a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.


How to Prove It Related Books

How to Prove It
Language: en
Pages: 401
Authors: Daniel J. Velleman
Categories: Mathematics
Type: BOOK - Published: 2006-01-16 - Publisher: Cambridge University Press

DOWNLOAD EBOOK

Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text
Proofs from THE BOOK
Language: en
Pages: 194
Authors: Martin Aigner
Categories: Mathematics
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

DOWNLOAD EBOOK

According to the great mathematician Paul Erdös, God maintains perfect mathematical proofs in The Book. This book presents the authors candidates for such "per
Mathematical Proofs
Language: en
Pages: 400
Authors: Gary Chartrand
Categories: Logic, Symbolic and mathematical
Type: BOOK - Published: 2013 - Publisher: Pearson Educacion

DOWNLOAD EBOOK

This book prepares students for the more abstract mathematics courses that follow calculus. The author introduces students to proof techniques, analyzing proofs
Introduction to Proof in Abstract Mathematics
Language: en
Pages: 385
Authors: Andrew Wohlgemuth
Categories: Mathematics
Type: BOOK - Published: 2014-06-10 - Publisher: Courier Corporation

DOWNLOAD EBOOK

The primary purpose of this undergraduate text is to teach students to do mathematical proofs. It enables readers to recognize the elements that constitute an a
Book of Proof
Language: en
Pages: 314
Authors: Richard H. Hammack
Categories: Mathematics
Type: BOOK - Published: 2016-01-01 - Publisher:

DOWNLOAD EBOOK

This book is an introduction to the language and standard proof methods of mathematics. It is a bridge from the computational courses (such as calculus or diffe