The World As A Mathematical Game

Author : Giorgio Israel
Publisher : Springer Science & Business Media
ISBN 13 : 3764398965
Total Pages : 215 pages
Book Rating : 4.65/5 ( download)

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Download or read book The World as a Mathematical Game written by Giorgio Israel and published by Springer Science & Business Media. This book was released on 2009-04-24 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo and Newton’s work towards the mathematisation of the physical world; Leibniz’s universal logical calculus; the Enlightenment’s mathématique sociale. John von Neumann inherited all these aims and philosophical intuitions, together with an idea that grew up around the Vienna Circle of an ethics in the form of an exact science capable of guiding individuals to make correct decisions. With the help of his boundless mathematical capacity, von Neumann developed a conception of the world as a mathematical game, a world globally governed by a universal logic in which individual consciousness moved following different strategies: his vision guided him from set theory to quantum mechanics, to economics and to his theory of automata (anticipating artificial intelligence and cognitive science). This book provides the first comprehensive scientific and intellectual biography of John von Neumann, a man who perhaps more than any other is representative of twentieth century science.

Author : Saul Stahl
Publisher : John Wiley & Sons
ISBN 13 : 1118546148
Total Pages : 430 pages
Book Rating : 4.47/5 ( download)

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Download or read book Introduction to Topology and Geometry written by Saul Stahl and published by John Wiley & Sons. This book was released on 2014-08-21 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: An easily accessible introduction to over three centuries of innovations in geometry Praise for the First Edition “. . . a welcome alternative to compartmentalized treatments bound to the old thinking. This clearly written, well-illustrated book supplies sufficient background to be self-contained.” —CHOICE This fully revised new edition offers the most comprehensive coverage of modern geometry currently available at an introductory level. The book strikes a welcome balance between academic rigor and accessibility, providing a complete and cohesive picture of the science with an unparalleled range of topics. Illustrating modern mathematical topics, Introduction to Topology and Geometry, Second Edition discusses introductory topology, algebraic topology, knot theory, the geometry of surfaces, Riemann geometries, fundamental groups, and differential geometry, which opens the doors to a wealth of applications. With its logical, yet flexible, organization, the Second Edition: • Explores historical notes interspersed throughout the exposition to provide readers with a feel for how the mathematical disciplines and theorems came into being • Provides exercises ranging from routine to challenging, allowing readers at varying levels of study to master the concepts and methods • Bridges seemingly disparate topics by creating thoughtful and logical connections • Contains coverage on the elements of polytope theory, which acquaints readers with an exposition of modern theory Introduction to Topology and Geometry, Second Edition is an excellent introductory text for topology and geometry courses at the upper-undergraduate level. In addition, the book serves as an ideal reference for professionals interested in gaining a deeper understanding of the topic.

Author : Liz McMahon
Publisher : Princeton University Press
ISBN 13 : 0691192324
Total Pages : 320 pages
Book Rating : 4.21/5 ( download)

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Download or read book The Joy of SET written by Liz McMahon and published by Princeton University Press. This book was released on 2019-07-09 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

Author : Robert E. Knapp
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781500551971
Total Pages : 0 pages
Book Rating : 4.7X/5 ( download)

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Download or read book Mathematics Is about the World written by Robert E. Knapp and published by Createspace Independent Publishing Platform. This book was released on 2014-08-14 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: What is mathematics about? Is there a mathematical universe glimpsed by a mathematical intuition? Or is mathematics an arbitrary game of symbols, with no inherent meaning, that somehow finds application to life on earth? Robert Knapp holds, on the contrary, that mathematics is about the world. His book develops and applies its alternative viewpoint, first, to elementary geometry and the number system and, then, to more advanced topics, such as topology and group representations. Its theme is that mathematics, however abstract, arises from and is shaped by requirements of indirect measurement. Eratosthenes, in 200 BC, demonstrated the power of indirect measurement when he estimated the circumference of the earth by measuring a shadow at noon, in Alexandria, on the day of the summer solstice. Establishing geometric relationships, solving equations, finding approximations, and, generally, discovering quantitative relationships are tools of indirect measurement: They are the core of mathematics, the drivers of its development, and the heart of its power to enhance our lives.

Author : Ben Orlin
Publisher : Black Dog & Leventhal Publishers, Incorporated
ISBN 13 : 9780762499861
Total Pages : 368 pages
Book Rating : 4.69/5 ( download)

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Download or read book Math Games with Bad Drawings written by Ben Orlin and published by Black Dog & Leventhal Publishers, Incorporated. This book was released on 2022-04-05 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Best-selling author and worst-drawing artist Ben Orlin expands his oeuvre with this interactive collection of mathematical games. Each taking a minute to learn and a lifetime to master, this treasure chest of 70-plus games will delight, educate, and entertain"--

Author : David G. Taylor
Publisher : CRC Press
ISBN 13 : 1482235455
Total Pages : 422 pages
Book Rating : 4.56/5 ( download)

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Download or read book The Mathematics of Games written by David G. Taylor and published by CRC Press. This book was released on 2014-12-01 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Mathematics of Games: An Introduction to Probability takes an inquiry-based approach to teaching the standard material for an introductory probability course. It also discusses different games and ideas that relate to the law of large numbers, as well as some more mathematical topics not typically found in similar books. Written in an accessibl

Author : Matthew Lane
Publisher : Princeton University Press
ISBN 13 : 0691196389
Total Pages : 290 pages
Book Rating : 4.81/5 ( download)

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Download or read book Power-Up written by Matthew Lane and published by Princeton University Press. This book was released on 2019-11-19 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Did you know that every time you pick up the controller to your PlayStation or Xbox, you are entering a game world steeped in mathematics? Power-Up reveals the hidden mathematics in many of today's most popular video games and explains why mathematical learning doesn't just happen in the classroom or from books--you're doing it without even realizing it when you play games on your cell phone. In this lively and entertaining book, Matthew Lane discusses how gamers are engaging with the traveling salesman problem when they play Assassin's Creed, why it is mathematically impossible for Mario to jump through the Mushroom Kingdom in Super Mario Bros., and how The Sims teaches us the mathematical costs of maintaining relationships. He looks at mathematical pursuit problems in classic games like Missile Command and Ms. Pac-Man, and how each time you play Tetris, you're grappling with one of the most famous unsolved problems in all of mathematics and computer science. Along the way, Lane discusses why Family Feud and Pictionary make for ho-hum video games, how realism in video games (or the lack of it) influences learning, what video games can teach us about the mathematics of voting, the mathematics of designing video games, and much more. Power-Up shows how the world of video games is an unexpectedly rich medium for learning about the beautiful mathematical ideas that touch all aspects of our lives--including our virtual ones."--Dust jacket.

Author : Claudia Zaslavsky
Publisher : Chicago Review Press
ISBN 13 : 1569767300
Total Pages : 174 pages
Book Rating : 4.06/5 ( download)

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Download or read book More Math Games and Activities from Around the World written by Claudia Zaslavsky and published by Chicago Review Press. This book was released on 2003-10 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents games and other activities from different countries and cultures that teach a variety of basic mathematical concepts.

Author : Vladimir Mazalov
Publisher : John Wiley & Sons
ISBN 13 : 1118899628
Total Pages : 430 pages
Book Rating : 4.25/5 ( download)

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Download or read book Mathematical Game Theory and Applications written by Vladimir Mazalov and published by John Wiley & Sons. This book was released on 2014-10-06 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Game Theory and Applications Mathematical Game Theory and Applications An authoritative and quantitative approach to modern game theory with applications from economics, political science, military science and finance. Mathematical Game Theory and Applications combines both the theoretical and mathematical foundations of game theory with a series of complex applications along with topics presented in a logical progression to achieve a unified presentation of research results. This book covers topics such as two-person games in strategic form, zero-sum games, N-person non-cooperative games in strategic form, two-person games in extensive form, parlor and sport games, bargaining theory, best-choice games, co-operative games and dynamic games. Several classical models used in economics are presented which include Cournot, Bertrand, Hotelling and Stackelberg as well as coverage of modern branches of game theory such as negotiation models, potential games, parlor games and best choice games. Mathematical Game Theory and Applications: Presents a good balance of both theoretical foundations and complex applications of game theory. Features an in-depth analysis of parlor and sport games, networking games, and bargaining models. Provides fundamental results in new branches of game theory, best choice games, network games and dynamic games. Presents numerous examples and exercises along with detailed solutions at the end of each chapter. Is supported by an accompanying website featuring course slides and lecture content. Covering a host of important topics, this book provides a research springboard for graduate students and a reference for researchers who might be working in the areas of applied mathematics, operations research, computer science or economical cybernetics.

Author : Dave Mark
Publisher : Cengage Learning Ptr
ISBN 13 : 9781584506843
Total Pages : 459 pages
Book Rating : 4.49/5 ( download)

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Download or read book Behavioral Mathematics for Game AI written by Dave Mark and published by Cengage Learning Ptr. This book was released on 2009 with total page 459 pages. Available in PDF, EPUB and Kindle. Book excerpt: Human behavior is never an exact science, making the design and programming of artificial intelligence that seeks to replicate human behavior difficult. Usually, the answers cannot be found in sterile algorithms that are often the focus of artificial intelligence programming. However, by analyzing why people behave the way we do, we can break down the process into increasingly smaller components. We can model many of those individual components in the language of logic and mathematics and then reassemble them into larger, more involved decision-making processes. Drawing from classical game theory, "Behavioral Mathematics for Game AI" covers both the psychological foundations of human decisions and the mathematical modeling techniques that AI designers and programmers can use to replicate them. With examples from both real life and game situations, you'll explore topics such as utility, the fallacy of rational behavior, and the inconsistencies and contradictions that human behavior often exhibits. You'll examine various ways of using statistics, formulas, and algorithms to create believable simulations and to model these dynamic, realistic, and interesting behaviors in video games. Finally, you'll be introduced to a number of tools you can use in conjunction with standard AI algorithms to make it easier to utilize the mathematical models.