- Hardcover: 437 pages
- Publisher: Wiley-Interscience; 1 edition (July 20, 2000)
- Language: English
- ISBN-10: 047137122X
- ISBN-13: 978-0471371229
- Product Dimensions: 7.7 x 1.1 x 9.6 inches
- Shipping Weight: 1.9 pounds (View shipping rates and policies)
- Average Customer Review: 4 customer reviews
- Amazon Best Sellers Rank: #1,592,492 in Books (See Top 100 in Books)
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Learning to Reason: An Introduction to Logic, Sets, and Relations 1st Edition
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"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)
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From the Back Cover
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. Youll 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 setsthe 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/
Top customer reviews
The book includes a glossary of terms and numerous exercise sets with solutions for odd-numbered problems.
I found the book more clear and helpful than books by Eccles and Velleman.
I would highly recommend this book for college or high school students wanting to learn mathematical logic and proof for the first time, either as a primary course text, a supplemental text, or for learning on your own.