The Joy of Sets

The Joy of Sets

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  • Author: Keith Devlin
  • Publisher: Springer Science & Business Media
  • ISBN: 146120903X
  • Category : Mathematics
  • Languages : en
  • Pages : 204

This text covers the parts of contemporary set theory relevant to other areas of pure mathematics. After a review of "naïve" set theory, it develops the Zermelo-Fraenkel axioms of the theory before discussing the ordinal and cardinal numbers. It then delves into contemporary set theory, covering such topics as the Borel hierarchy and Lebesgue measure. A final chapter presents an alternative conception of set theory useful in computer science.


The Joy of SET

The Joy of SET

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  • Author: Liz McMahon
  • Publisher: Princeton University Press
  • ISBN: 0691192324
  • Category : Games & Activities
  • Languages : en
  • Pages : 320

"Have you ever played the addictive card game SET? Have you ever wondered about the connections between games and mathematics? . . . The Joy of SET takes readers on a fascinating journey into this seemingly simple card game and reveals its surprisingly deep and diverse mathematical dimensions. Absolutely no mathematical background is necessary to enjoy this book - all you need is a sense of curiosity and adventure. Originally invented in 1974 by Marsha Falco and officially released in 1991, SET has gained a widespread, loyal following. SET's eighty-one cards consist of one, two, or three symbols of different shapes (diamond, oval, squiggle), shadings (solid, striped, open), and colors (green, purple, red). In order to win, players must identify 'sets' of three cards for which each characteristic is the same - or different - on all the cards. SET's strategic and unique design opens connections to a plethora of mathematical disciplines, including geometry, modular arithmetic, combinatorics, probability, linear algebra, and computer simulations. The Joy of SET looks at these areas as well as avenues for further mathematical exploration. As the authors show, the relationship between SET and mathematics runs in both directions - playing this game has generated new mathematics, and the math has led to new questions about the game itself."--Provided by publisher.


The Joy of Sets

The Joy of Sets

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  • Author: Keith J. Devlin
  • Publisher: Springer
  • ISBN: 9783540940944
  • Category : Mengenlehre
  • Languages : en
  • Pages : 192

"This book provides an account of those parts of contemporary set theory that are relevant to other areas of pure mathematics. Intended for advanced undergraduates and beginning graduate students, the text is written in an easy-going style, with a minimum of formalism. The book begins with a review of "naive" set theory; it then develops the Zermelo-Fraenkel axioms of the theory, showing how they arise naturally from a rigorous answer to the question, "what is a set?" After discussing the ordinal and cardinal numbers, the book then delves into contemporary set theory, covering such topics as: the Borel hierarchy, stationary sets and regressive functions, and Lebesgue measure. Two chapters present an extension of the Zermelo-Fraenkel theory, discussing the axiom of constructibility and the question of provability in set theory. A final chapter presents an account of an alternative conception of set theory that has proved useful in computer science, the non-well-founded set theory of Peter Aczel"--Back cover.


Advertiser's Weekly

Advertiser's Weekly

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  • Author:
  • Publisher:
  • ISBN:
  • Category :
  • Languages : en
  • Pages : 520


The Bulletin of Mathematics Books

The Bulletin of Mathematics Books

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  • Author:
  • Publisher:
  • ISBN:
  • Category : Computer software
  • Languages : en
  • Pages :


Chicago Tribune Index

Chicago Tribune Index

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  • Author:
  • Publisher:
  • ISBN:
  • Category : Chicago (Ill.)
  • Languages : en
  • Pages : 1376


The Joy of Publishing

The Joy of Publishing

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  • Author: Nat G. Bodian
  • Publisher:
  • ISBN:
  • Category : Language Arts & Disciplines
  • Languages : en
  • Pages : 248

In the bestselling tradition of The Joy of Sex and The Joy of Cooking, now comes The Joy of Publishing, an anecdotal history of book publishing in America.


Russian Mathematical Surveys

Russian Mathematical Surveys

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  • Author:
  • Publisher:
  • ISBN:
  • Category : Mathematicians
  • Languages : en
  • Pages : 676


The Illustrators

The Illustrators

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  • Author: David Wootton
  • Publisher: Chris Beetles Dist
  • ISBN:
  • Category : Art
  • Languages : en
  • Pages : 128

This catalogue contains the wide range of artists and works now expected from the Chris Beetles Gallery and its well-established annual show of illustrators. Familiar and favorite illustrators are included from Lawson Wood to John Everett Millais. The wea


Mind

Mind

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  • Author:
  • Publisher:
  • ISBN:
  • Category : Philosophy
  • Languages : en
  • Pages : 1150

Issues for 1896-1900 contain papers of the Aristotelian Society.