Learning to Reason: An Introduction to Logic, Sets and Relations
Wiley (2000)
| 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 | $139.20 direct from Amazon (21% off) Amazon page | |||||||||
| Call number | QA9.R7264 2000 | |||||||||
| ISBN(s) | 047137122X 9780471371229 | |||||||||
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Similar books and articlesWilliam M. Farmer & Joshua D. Guttman (2000). A Set Theory with Support for Partial Functions. Studia Logica 66 (1):59-78.
George J. Tourlakis (2003). Lectures in Logic and Set Theory. Cambridge University Press.
Alfred Tarski (1994). Introduction to Logic and to the Methodology of the Deductive Sciences. Oxford University Press.
Graeme Forbes (1994). Modern Logic: A Text in Elementary Symbolic Logic. Oxford University Press.
P. T. Johnstone (1987). Notes on Logic and Set Theory. Cambridge University Press.
Daniel J. Velleman (2006). How to Prove It: A Structured Approach. Cambridge University Press.
Peter J. Eccles (1997). An Introduction to Mathematical Reasoning: Lectures on Numbers, Sets, and Functions. Cambridge University Press.
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