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

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

Author(s): Nancy Rodgers

Published Online: 13 SEP 2011 09:06AM EST

Print ISBN: 9780471371229

Online ISBN: 9781118165690

DOI: 10.1002/9781118165690

About this Book

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/

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