How to Prove It PDF
By:Daniel J. Velleman
Published on 1994-11-25 by Cambridge University Press
Many mathematics students have trouble the first time they take a course, such as linear algebra, abstract algebra, introductory analysis, or discrete mathematics, in which they are asked to prove various theorems. This textbook 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 |scratchwork| sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. Numerous exercises give students the opportunity to construct their own proofs. 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.
This Book was ranked at 38 by Google Books for keyword mathematics about sets.
Book ID of How to Prove It's Books is IhkWcGRV1scC, Book which was written byDaniel J. Vellemanhave ETAG "aOo8yI3F7LA"
Book which was published by Cambridge University Press since 1994-11-25 have ISBNs, ISBN 13 Code is 9780521446631 and ISBN 10 Code is 0521446635
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Book which have "309 Pages" is Printed at BOOK under CategoryMathematics
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