Learning to Reason An Introduction to Logic, Sets, and Relations
Learning to Reason An Introduction to Logic, Sets, and Relations
- ISBN 13:
9780471371229
- ISBN 10:
047137122X
- Edition: 1st
- Format: Paperback
- Copyright: 07/20/2000
- Publisher: Wiley-Interscience
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Summary
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/