Graduate studies at Western
|Abstract||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/.|
|Keywords||Logic, Symbolic and mathematical Proof theory Set theory|
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|Buy the book||$35.13 used (80% off) $107.98 new (38% off) $136.98 direct from Amazon (22% off) Amazon page|
|Call number||QA9.R7264 2000|
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Alfred Tarski (1994). Introduction to Logic and to the Methodology of the Deductive Sciences. Oxford University Press.
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P. T. Johnstone (1987). Notes on Logic and Set Theory. Cambridge University Press.
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