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Functional analysis and time optimal control

Control theory. --- Functional analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Dynamics --- Machine theory --- 519.8 --- 519.8 Operational research --- Operational research

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In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation;methods for low-rank

Search theory. --- Operations research. --- Operational analysis --- Operational research --- Industrial engineering --- Management science --- Research --- System theory --- Operations research --- Search theory --- 519.8 --- 519.8 Operational research

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Few branches of mathematics have been more influential in the social sciences than game theory. In recent years, it has become an essential tool for all social scientists studying the strategic behaviour of competing individuals, firms and countries. However, the mathematical complexity of game theory is often very intimidating for students who have only a basic understanding of mathematics. Insights into Game Theory addresses this problem by providing students with an understanding of the key concepts and ideas of game theory without using formal mathematical notation. The authors use four very different topics (college admission, social justice and majority voting, coalitions and co-operative games, and a bankruptcy problem from the Talmud) to investigate four areas of game theory. The result is a fascinating introduction to the world of game theory and its increasingly important role in the social sciences.

Operational research. Game theory --- Game theory --- Game theory. --- AA / International- internationaal --- 305.6 --- speltheorieën --- mathematische modellen, toegepast op bedrijfsleven --- faillissementen --- 519.8 --- Risicotheorie, speltheorie. Risicokapitaal. Beslissingsmodellen. --- Operational research --- 519.8 Operational research --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Risicotheorie, speltheorie. Risicokapitaal. Beslissingsmodellen --- Social sciences --- Methodology. --- Business, Economy and Management --- Economics

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This is the classic work upon which modern-day game theory is based. What began more than sixty years ago as a modest proposal that a mathematician and an economist write a short paper together blossomed, in 1944, when Princeton University Press published Theory of Games and Economic Behavior. In it, John von Neumann and Oskar Morgenstern conceived a groundbreaking mathematical theory of economic and social organization, based on a theory of games of strategy. Not only would this revolutionize economics, but the entirely new field of scientific inquiry it yielded--game theory--has since been widely used to analyze a host of real-world phenomena from arms races to optimal policy choices of presidential candidates, from vaccination policy to major league baseball salary negotiations. And it is today established throughout both the social sciences and a wide range of other sciences. This sixtieth anniversary edition includes not only the original text but also an introduction by Harold Kuhn, an afterword by Ariel Rubinstein, and reviews and articles on the book that appeared at the time of its original publication in the New York Times, tthe American Economic Review, and a variety of other publications. Together, these writings provide readers a matchless opportunity to more fully appreciate a work whose influence will yet resound for generations to come.

#SBIB:303H64 --- 330.1 --- 519.8 --- Speltheorie --- Economische grondbegrippen. Algemene begrippen in de economie --- Operational research --- Economics, Mathematical. --- Game theory. --- 519.8 Operational research --- 330.1 Economische grondbegrippen. Algemene begrippen in de economie --- Economics --- Mathematical economics --- Econometrics --- Mathematics --- Games, Theory of --- Theory of games --- Mathematical models --- Methodology --- Economics, Mathematical --- Game theory --- Jeux, Théorie des --- Mathématiques économiques --- Jeux de strategie (Mathematiques) --- Probabilities --- Games

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"Discrete optimization problems are everywhere, from traditional operations research planning problems, such as scheduling, facility location, and network design; to computer science problems in databases; to advertising issues in viral marketing. Yet most such problems are NP-hard. Thus unless P = NP, there are no efficient algorithms to find optimal solutions to such problems. This book shows how to design approximation algorithms: efficient algorithms that find provably near-optimal solutions. The book is organized around central algorithmic techniques for designing approximation algorithms, including greedy and local search algorithms, dynamic programming, linear and semidefinite programming, and randomization. Each chapter in the first part of the book is devoted to a single algorithmic technique, which is then applied to several different problems. The second part revisits the techniques but offers more sophisticated treatments of them. The book also covers methods for proving that optimization problems are hard to approximate. Designed as a textbook for graduate-level algorithms courses, the book will also serve as a reference for researchers interested in the heuristic solution of discrete optimization problems"--

Approximation theory --- Mathematical optimization --- 519.8 --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Theory of approximation --- Functional analysis --- Functions --- Polynomials --- Chebyshev systems --- 519.8 Operational research --- Operational research --- Approximation theory. --- Mathematical optimization.