Learning to Reason

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/