Learning to Reason: An Introduction to Logic, Sets, and Relations / Edition 1

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Overview

Dispelling the notion that mathematics is about doing computations, Nancy Rodgers shows how to view mathematics as the source for meaningful structures and relations that can be supported with logical reasoning. She proceeds to show readers in an easy-to-follow, friendly style how to improve their reasoning skills as well as the ability to read and write mathematics and symbolic languages.
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Editorial Reviews

Choice
A primary strength is its broad attention to ideas from logic, set theory and relations while focusing the key notions of symbolism and writing proofs.
SciTech Book News
In this textbook for mathematics and computer science majors, Rodgers explains how to write compound sentences in equivalent forms and use them in valid arguments...
Booknews
In this textbook for mathematics and computer science majors, Rodgers (Hanover College) explains how to write compound sentences in equivalent forms and use them in valid arguments, and how to structure thinking and writing to form well-reasoned proofs before moving on to mathematical sets and relations. Annotation c. Book News, Inc., Portland, OR (booknews.com)
From the Publisher
"A primary strength is its broad attention to ideas from logic, set theory and relations while focusing the key notions of symbolism and writing proofs." (Choice, Vol. 38, No. 7, March 2001)

"In this textbook for mathematics and computer science majors, Rodgers explains how to write compound sentences in equivalent forms and use them in valid arguments..." (SciTech Book News, March 2001)

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Product Details

  • ISBN-13: 9780471371229
  • Publisher: Wiley
  • Publication date: 7/20/2000
  • Edition number: 1
  • Pages: 454
  • Product dimensions: 7.68 (w) x 9.57 (h) x 1.07 (d)

Meet the Author

NANCY RODGERS, PhD, is Professor of Mathematics at Hanover College, Hanover, Indiana.
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Table of Contents

LOGICAL REASONING.
Symbolic Language.
Two Quantifiers.
Five Logical Operators.
Laws of Logic.
Logic Circuits.
Translations.
WRITING OUR REASONING.
Proofs and Arguments.
Proving Implications.
Writing a Proof.
Working with Quantifiers.
Using Cases.
Proof by Contradiction.
Mathematical Induction.
Axiomatic Systems.
SETS - THE BUILDING BLOCKS.
Sets and Elements.
Operations on Sets.
Multiple Unions and Intersections.
Cross Product.
Finite Sets.
Infinite Sets.
RELATIONS - THE ACTION.
Relations.
Equivalence Relations.
Functions.
Order Relations.
Summary.
Appendices.
Bibliography.
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