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25 Remote Warehouse Mathematics- Logic and Philosophy

Learning to Reason: An Introduction to Logic, Sets, and Relations

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Learning to Reason: An Introduction to Logic, Sets, and Relations Cover

 

Synopses & Reviews

Publisher Comments:

Learn how to develop your reasoning skills and how to write well-reasoned proofs

Learning to Reason shows you how to use the basic elements of mathematical language to develop highly sophisticated, logical reasoning skills. You’ll get clear, concise, easy-to-follow instructions on the process of writing proofs, including the necessary reasoning techniques and syntax for constructing well-written arguments. Through in-depth coverage of logic, sets, and relations, Learning to Reason offers a meaningful, integrated view of modern mathematics, cuts through confusing terms and ideas, and provides a much-needed bridge to advanced work in mathematics as well as computer science. Original, inspiring, and designed for maximum comprehension, this remarkable book:

  • Clearly explains how to write compound sentences in equivalent forms and use them in valid arguments
  • Presents simple techniques on how to structure your thinking and writing to form well-reasoned proofs
  • Reinforces these techniques through a survey of sets—the building blocks of mathematics
  • Examines the fundamental types of relations, which is "where the action is" in mathematics
  • Provides relevant examples and class-tested exercises designed to maximize the learning experience
  • Includes a mind-building game/exercise space at www.wiley.com/products/subject/mathematics/

Book News Annotation:

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)

Synopsis:

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

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.

Product Details

ISBN:
9780471371229
Author:
Rodgers, Nancy
Publisher:
John Wiley & Sons
Author:
Rodgers
Location:
New York
Subject:
General
Subject:
Logic
Subject:
Logic, symbolic and mathematical
Subject:
Set Theory
Subject:
Proof theory
Subject:
Mathematics-Logic and Philosophy
Subject:
Logic & Foundations
Copyright:
Edition Description:
WOL online Book (not BRO)
Series Volume:
no. 74
Publication Date:
July 2000
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Yes
Pages:
454
Dimensions:
9.36x7.38x.95 in. 1.70 lbs.

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Learning to Reason: An Introduction to Logic, Sets, and Relations New Trade Paper
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Product details 454 pages Wiley-Interscience - English 9780471371229 Reviews:
"Synopsis" by , NANCY RODGERS, PhD, is Professor of Mathematics at Hanover College, Hanover, Indiana.
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