Learning to reason : an introduction to logic, sets and relations / Nancy Rodgers.

By: Rodgers, Nancy, 1941- [author.]
Language: English Publisher: Hoboken, New Jersey : John Wiley & Sons, Inc., 2000Description: 1 online resource (454 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9780471371229 ; 9781118165690 (ebook)Subject(s): Logic, Symbolic and mathematical | Proof theory | Set theoryGenre/Form: Electronic books.DDC classification: 511.3 LOC classification: QA9 | .R7264 2000Online resources: Full text available at Wiley Online Library Click here to view
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.
Summary: Learn how to develop your reasoning skills and how to writewell-reasoned proofs Learning to Reason shows you how to use the basic elements ofmathematical language to develop highly sophisticated, logicalreasoning skills. You'll get clear, concise, easy-to-followinstructions on the process of writing proofs, including thenecessary reasoning techniques and syntax for constructingwell-written arguments. Through in-depth coverage of logic, sets,and relations, Learning to Reason offers a meaningful, integratedview of modern mathematics, cuts through confusing terms and ideas,and provides a much-needed bridge to advanced work in mathematicsas well as computer science. Original, inspiring, and designed formaximum comprehension, this remarkable book: * Clearly explains how to write compound sentences in equivalentforms and use them in valid arguments * Presents simple techniques on how to structure your thinking andwriting to form well-reasoned proofs * Reinforces these techniques through a survey of sets--thebuilding blocks of mathematics * Examines the fundamental types of relations, which is "where theaction is" in mathematics * Provides relevant examples and class-tested exercises designed tomaximize the learning experience * Includes a mind-building game/exercise space atwww.wiley.com/products/subject/mathematics/
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Item type Current location Home library Call number Status Date due Barcode Item holds
EBOOK EBOOK COLLEGE LIBRARY
COLLEGE LIBRARY
LIC Gateway 		511.3 R6161 2000 (Browse shelf) Available CL-50574
Total holds: 0

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

Includes bibliographical references and index.

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.

Learn how to develop your reasoning skills and how to writewell-reasoned proofs

Learning to Reason shows you how to use the basic elements ofmathematical language to develop highly sophisticated, logicalreasoning skills. You'll get clear, concise, easy-to-followinstructions on the process of writing proofs, including thenecessary reasoning techniques and syntax for constructingwell-written arguments. Through in-depth coverage of logic, sets,and relations, Learning to Reason offers a meaningful, integratedview of modern mathematics, cuts through confusing terms and ideas,and provides a much-needed bridge to advanced work in mathematicsas well as computer science. Original, inspiring, and designed formaximum comprehension, this remarkable book:
* Clearly explains how to write compound sentences in equivalentforms and use them in valid arguments
* Presents simple techniques on how to structure your thinking andwriting to form well-reasoned proofs
* Reinforces these techniques through a survey of sets--thebuilding blocks of mathematics
* Examines the fundamental types of relations, which is "where theaction is" in mathematics
* Provides relevant examples and class-tested exercises designed tomaximize the learning experience
* Includes a mind-building game/exercise space atwww.wiley.com/products/subject/mathematics/

500-599 511

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