Druck auf Anfrage Neuware - Printed after ordering - Control theory provides a large set of theoretical and computational tools with applications in a wide range of elds, running from 'pure' branches of mathematics, like geometry, to more applied areas where the objective is to nd solutions to 'real life' problems, as is the case in robotics, control of industrial processes or nance. The 'high tech' character of modern business has increased the need for advanced methods. These rely heavily on mathematical techniques and seem indispensable for competitiveness of modern enterprises. It became essential for the nancial analyst to possess a high level of mathematical skills. C- versely, the complex challenges posed by the problems and models relevant to nance have, for a long time, been an important source of new research topics for mathematicians. The use of techniques from stochastic optimal control constitutes a well established and important branch of mathematical nance. Up to now, other branches of control theory have found comparatively less application in n- cial problems. To some extent, deterministic and stochastic control theories developed as di erent branches of mathematics. However, there are many points of contact between them and in recent years the exchange of ideas between these elds has intensi ed. Some concepts from stochastic calculus (e.g., rough paths) havedrawntheattentionofthedeterministiccontroltheorycommunity.Also, some ideas and tools usual in deterministic control (e.g., geometric, algebraic or functional-analytic methods) can be successfully applied to stochastic c- trol.

Bestandsnummer des Verk�ufers 9783540695318

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Bibliografische Details

Titel

Mathematical Control Theory and Finance

Verlag

Springer, Berlin, Springer Berlin Heidelberg, Springer

Erscheinungsjahr

2008

Sprache

Englisch

ISBN-10

3540695311

ISBN-13

9783540695318

Einband

Buch

Zustand

Neu

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Inhaltsangabe

Control theory provides a large set of theoretical and computational tools with applications in a wide range of ?elds, running from "pure" branches of mathematics, like geometry, to more applied areas where the objective is to ?nd solutions to "real life" problems, as is the case in robotics, control of industrial processes or ?nance. The "high tech" character of modern business has increased the need for advanced methods. These rely heavily on mathematical techniques and seem indispensable for competitiveness of modern enterprises. It became essential for the ?nancial analyst to possess a high level of mathematical skills. C- versely, the complex challenges posed by the problems and models relevant to ?nance have, for a long time, been an important source of new research topics for mathematicians. The use of techniques from stochastic optimal control constitutes a well established and important branch of mathematical ?nance. Up to now, other branches of control theory have found comparatively less application in ?n- cial problems. To some extent, deterministic and stochastic control theories developed as di?erent branches of mathematics. However, there are many points of contact between them and in recent years the exchange of ideas between these ?elds has intensi?ed. Some concepts from stochastic calculus (e.g., rough paths) havedrawntheattentionofthedeterministiccontroltheorycommunity.Also, some ideas and tools usual in deterministic control (e.g., geometric, algebraic or functional-analytic methods) can be successfully applied to stochastic c- trol.

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This book highlights recent developments in mathematical control theory and its applications to finance. It presents a collection of original contributions by distinguished scholars, addressing a large spectrum of problems and techniques. Control theory provides a large set of theoretical and computational tools with applications in a wide range of fields, ranging from "pure" areas of mathematics up to applied sciences like finance. Stochastic optimal control is a well established and important tool of mathematical finance. Other branches of control theory have found comparatively less applications to financial problems, but the exchange of ideas and methods has intensified in recent years. This volume should contribute to establish bridges between these separate fields. The diversity of topics covered as well as the large array of techniques and ideas brought in to obtain the results make this volume a valuable resource for advanced students and researchers.

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