Inhaltsangabe
Beck (mathematics, Rutgers) examines the solid-liquid-gas conjecture as to whether discrete systems are either simple or they exhibit advanced pseudorandomness with or without constraints. He also asserts that the weak win conjecture is the equiprobability postulate in disguise and explains why the weak win conjecture is a special case of the solid-liquid-gas conjecture. The last section introduces the new game-theoretic concept of surplus as a graph parameter. The book is a theoretical prelude to Combinatorial games: tic-tac-toe theory published by Cambridge University Press in 2008. No subject index is provided. Annotation ©2009 Book News, Inc., Portland, OR (booknews.com)
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Inevitable Randomness in Discrete Mathematics (University Lecture Series)
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Zustand: New. Mathematics has been called the science of order. This book intends to provide examples - and proofs - of the complexity law: discrete systems are either simple or they exhibit advanced pseudorandomness and a priori probabilities often exist even when there is no intrinsic symmetry. Series: University Lecture Series. Num Pages: 257 pages, Illustrations. BIC Classification: PBD; PBH; PBV. Category: (UP) Postgraduate, Research & Scholarly. . . 2009. Paperback. . . . . Bestandsnummer des Verkäufers V9780821847565
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Inevitable Randomness in Discrete Mathematics
Verlag:
American Mathematical Society, US, 2009
ISBN 10: 0821847562
ISBN 13: 9780821847565
Neu
Paperback
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Paperback. Zustand: New. Mathematics has been called the science of order. The subject is remarkably good for generalizing specific cases to create abstract theories. However, mathematics has little to say when faced with highly complex systems, where disorder reigns. This disorder can be found in pure mathematical arenas, such as the distribution of primes, the 3n 1 conjecture, and class field theory. The purpose of this book is to provide examples - and rigorous proofs - of the complexity law: discrete systems are either simple or they exhibit advanced pseudorandomness; a priori probabilities often exist even when there is no intrinsic symmetry. Part of the difficulty in achieving this purpose is in trying to clarify these vague statements. The examples turn out to be fascinating instances of deep or mysterious results in number theory and combinatorics. This book considers randomness and complexity. The traditional approach to complexity - computational complexity theory - is to study very general complexity classes, such as P, NP and PSPACE. What Beck does is very different: he studies interesting concrete systems, which can give new insights into the mystery of complexity. The book is divided into three parts. Part A is mostly an essay on the big picture. Part B is partly new results and partly a survey of real game theory. Part C contains new results about graph games, supporting the main conjecture. To make it accessible to a wide audience, the book is mostly self-contained. Bestandsnummer des Verkäufers LU-9780821847565
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Inevitable Randomness in Discrete Mathematics (University Lecture Series)
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ISBN 10: 0821847562
ISBN 13: 9780821847565
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Zustand: New. Mathematics has been called the science of order. This book intends to provide examples - and proofs - of the complexity law: discrete systems are either simple or they exhibit advanced pseudorandomness and a priori probabilities often exist even when there is no intrinsic symmetry. Series: University Lecture Series. Num Pages: 257 pages, Illustrations. BIC Classification: PBD; PBH; PBV. Category: (UP) Postgraduate, Research & Scholarly. . . 2009. Paperback. . . . . Books ship from the US and Ireland. Bestandsnummer des Verkäufers V9780821847565
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Inevitable randomness in discrete mathematics. University lecture series; Bd. Volume 49.
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Inevitable Randomness in Discrete Mathematics
Verlag:
American Mathematical Society, US, 2009
ISBN 10: 0821847562
ISBN 13: 9780821847565
Neu
Paperback
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Paperback. Zustand: New. Mathematics has been called the science of order. The subject is remarkably good for generalizing specific cases to create abstract theories. However, mathematics has little to say when faced with highly complex systems, where disorder reigns. This disorder can be found in pure mathematical arenas, such as the distribution of primes, the 3n 1 conjecture, and class field theory. The purpose of this book is to provide examples - and rigorous proofs - of the complexity law: discrete systems are either simple or they exhibit advanced pseudorandomness; a priori probabilities often exist even when there is no intrinsic symmetry. Part of the difficulty in achieving this purpose is in trying to clarify these vague statements. The examples turn out to be fascinating instances of deep or mysterious results in number theory and combinatorics. This book considers randomness and complexity. The traditional approach to complexity - computational complexity theory - is to study very general complexity classes, such as P, NP and PSPACE. What Beck does is very different: he studies interesting concrete systems, which can give new insights into the mystery of complexity. The book is divided into three parts. Part A is mostly an essay on the big picture. Part B is partly new results and partly a survey of real game theory. Part C contains new results about graph games, supporting the main conjecture. To make it accessible to a wide audience, the book is mostly self-contained. Bestandsnummer des Verkäufers LU-9780821847565
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Inevitable Randomness in Discrete Mathematics (University Lecture Series)
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American Mathematical Society, 2009
ISBN 10: 0821847562
ISBN 13: 9780821847565
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