Books in Theory and mathematics

Dynamic Programming

1st Edition
Volume 37
October 14, 2011
A. Kaufmann + 1 more
English
eBook
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This work discusses the value of dynamic programming as a method of optimization for the sequential phenomena encountered in economic studies or in advanced technological programs such as those associated with space flights. The dynamic programs which are considered are defined for a deterministic universe, or one with probabilities; both categories are of equal importance in the practice of operations research or of scientific management.

Problems in the Philosophy of Mathematics

1st Edition
Volume 47
October 14, 2011
Brouwer
English
eBook
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Theories of Computational Complexity

1st Edition
Volume 35
August 18, 2011
C. Calude
English
eBook
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This volume presents four machine-independent theories of computational complexity, which have been chosen for their intrinsic importance and practical relevance. The book includes a wealth of results - classical, recent, and others which have not been published before.In developing the mathematics underlying the size, dynamic and structural complexity measures, various connections with mathematical logic, constructive topology, probability and programming theories are established. The facts are presented in detail. Extensive examples are provided, to help clarify notions and constructions. The lists of exercises and problems include routine exercises, interesting results, as well as some open problems.

Probabilities and Potential, C

1st Edition
Volume 151
August 18, 2011
C. Dellacherie + 1 more
English
eBook
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This third volume of the monograph examines potential theory. The first chapter develops potential theory with respect to a single kernel (or discrete time semigroup). All the essential ideas of the theory are presented: excessive functions, reductions, sweeping, maximum principle. The second chapter begins with a study of the notion of reduction in the most general situation possible - the ``gambling house'' of Dubins and Savage. The beautiful results presented have never been made accessible to a wide public. These are then connected with the theory of sweeping with respect to a cone of continuous functions, and the integral representation in compact convex sets. The third chapter presents new or little-known results, with the aim of illustrating the effectiveness of capacitary methods in the most varied fields. The last two chapters are concerned with the theory of resolvents.The fourth and last part of the English edition will be devoted to the theory of Markov processes.

Probabilities and Potential, B

1st Edition
Volume 72
August 18, 2011
C. Dellacherie + 1 more
English
eBook
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Handbook of Logic and Language

2nd Edition
December 17, 2010
Johan F.A.K. van Benthem + 1 more
English
Paperback
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eBook
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The logical study of language is becoming more interdisciplinary, playing a role in fields such as computer science, artificial intelligence, cognitive science and game theory. This new edition, written by the leading experts in the field, presents an overview of the latest developments at the interface of logic and linguistics as well as a historical perspective. It is divided into three parts covering Frameworks, General Topics and Descriptive Themes.