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How to Prove It: A Structured Approach

How to Prove It: A Structured Approach Cover

 

Synopses & Reviews

Publisher Comments:

'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.'

Synopsis:

Teaches the techniques needed to read and write proofs.

Synopsis:

Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This textbook prepares students to make the transition from solving problems to proving theorems, by teaching them the techniques needed to read and write proofs.

Description:

Includes bibliographical references (p. 304) and index.

Product Details

ISBN:
9780521446631
Subtitle:
A Structured Approach
Author:
Velleman, Daniel J.
Publisher:
Cambridge University Press
Location:
Cambridge England ;
Subject:
General
Subject:
Mathematics
Subject:
Logic
Subject:
Programming - General
Subject:
Logic, symbolic and mathematical
Subject:
Combinatorics
Subject:
Structured programming
Subject:
General Mathematics
Series Volume:
SCS/79/WP/85
Publication Date:
19941125
Binding:
Hardback
Grade Level:
College/higher education:
Language:
English
Illustrations:
Yes
Pages:
319
Dimensions:
8.99x6.03x.69 in. 1.01 lbs.

Related Subjects

History and Social Science » Archaeology » General
History and Social Science » Linguistics » Specific Languages and Groups
Humanities » Philosophy » Logic
Reference » Words Phrases and Language
Science and Mathematics » Mathematics » Foundations and Logic
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Logic and Philosophy

How to Prove It: A Structured Approach
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$ In Stock
Product details 319 pages Cambridge University Press - English 9780521446631 Reviews:
"Synopsis" by , Teaches the techniques needed to read and write proofs.
"Synopsis" by , Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This textbook prepares students to make the transition from solving problems to proving theorems, by teaching them the techniques needed to read and write proofs.
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