Discrete Mathematics: Mathematical Reasoning and Proof with Puzzles, Patterns, and Games

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Wiley, 2006 - Mathematics - 691 pages
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Did you know that games and puzzles have given birth to many of today’s deepest mathematical subjects? Now, with Douglas Ensley and Winston Crawley’s Introduction to Discrete Mathematics, you can explore mathematical writing, abstract structures, counting, discrete probability, and graph theory, through games, puzzles, patterns, magic tricks, and real-world problems. You will discover how new mathematical topics can be applied to everyday situations, learn how to work with proofs, and develop your problem-solving skills along the way.

Online applications help improve your mathematical reasoning.
Highly intriguing, interactive Flash-based applications illustrate key mathematical concepts and help you develop your ability to reason mathematically, solve problems, and work with proofs. Explore More icons in the text direct you to online activities at www.wiley.com/college/ensley.

Improve your grade with the Student Solutions Manual.
A supplementary Student Solutions Manual contains more detailed solutions to selected exercises in the text.

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Contents

Puzzles Patterns
1
Probability
440
Relations
546
Copyright

4 other sections not shown

Common terms and phrases

able algebra algorithm answer arrow diagram base binary calculate called cards checked choose closed formula codomain column complete conclude connected consider contains corresponding counting cycle defined definition described digits divisible domain edges elements entry equal equivalent exactly Example Exercise Explain expression F T F fact false Figure five formal four function give given graph Hence induction integer least length letters logic look mathematical matrix means moves node notation operations outcomes pair particular play player positive possible Practice Problem prime probability proof properties Proposition prove question reasoning recursive relation represent result roll rule sequence shown simple SOLUTION starting statement step Suppose Table Theorem transitive tree true truth walk write

About the author (2006)

Doug Ensley is a full professor at Shippenshburg University with a Ph.D. from Carnegie Mellon. He is an active participant in national and regional committees determining the future of the discrete math curriculum, and he regularly speaks at Joint Math and MathFest.

Winston Crawley is a full professor and chair of the math department at Shippensburg University. He has a Ph.D. from University of Tennessee-Knoxville. Crawley developed the undergraduate computer science curriculum at Shippensburg.

Bibliographic information

QR code for Discrete Mathematics
TitleDiscrete Mathematics: Mathematical Reasoning and Proof with Puzzles, Patterns, and Games
AuthorsDouglas E. Ensley, J. Winston Crawley
Editionillustrated
PublisherWiley, 2006
Original fromthe University of Michigan
DigitizedFeb 2, 2010
ISBN0471476021, 9780471476023
Length691 pages
Subjects › 

Mathematics / Discrete Mathematics
Mathematics / General
  
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