KAM Story, Dumas H. Scott

Автор: N.G. Van Kampen
Название: Stochastic Processes in Physics and Chemistry,
ISBN: 0444529659 ISBN-13(EAN): 9780444529657
Издательство: Elsevier Science
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Цена: 101050.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Replaces the contrived application of the quantum master equation with a satisfactory treatment of quantum fluctuations. This work covers the fluctuations and stochastic methods for describing them. It is of interest to students and researchers in applied mathematics, physics and physical chemistry.

Автор: Kamien, M.I.
Название: Dynamic Optimization
ISBN: 0444016090 ISBN-13(EAN): 9780444016096
Издательство: Elsevier Science
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Цена: 112010.00 T
Наличие на складе: Невозможна поставка.
Описание: The long awaited second edition of Dynamic Optimization is now available. Clear exposition and numerous worked examples made the first edition the premier text on this subject. Now, the new edition is expanded and updated to include essential coverage of current developments on differential games, especially as they apply to important economic questions; new developments in comparative dynamics; and new material on optimal control with integral state equations. The second edition of Dynamic Optimization provides expert coverage on: - methods of calculus of variations - optimal control - continuous dynamic programming - stochastic optimal control -differential games. The authors also include appendices on static optimization and on differential games. Now in its new updated and expanded edition, Dynamic Optimization is, more than ever, the optimum choice for graduate and advanced undergraduate courses in economics, mathematical methods in economics and dynamic optimization, management science, mathematics and engineering. New features of Dynamic Optimization will show students: advances in how to do comparative dynamics; how to optimally switch from one state equation to another during the planning period; how to take into account the history of the system governing an optimization problem through the use of an integral state equation; and how to apply differential games to problems in economics and management sciences.

Автор: Michael Mackey; Mois?s Santill?n; Marta Tyran-Kami
Название: Simple Mathematical Models of Gene Regulatory Dynamics
ISBN: 3319453173 ISBN-13(EAN): 9783319453170
Издательство: Springer
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Цена: 39130.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This is a short and self-contained introduction to the field of mathematical modeling of gene-networks in bacteria. As an entry point to the field, we focus on the analysis of simple gene-network dynamics. The notes commence with an introduction to the deterministic modeling of gene-networks, with extensive reference to applicable results coming from dynamical systems theory. The second part of the notes treats extensively several approaches to the study of gene-network dynamics in the presence of noise—either arising from low numbers of molecules involved, or due to noise external to the regulatory process. The third and final part of the notes gives a detailed treatment of three well studied and concrete examples of gene-network dynamics by considering the lactose operon, the tryptophan operon, and the lysis-lysogeny switch. The notes contain an index for easy location of particular topics as well as an extensive bibliography of the current literature. The target audience of these notes are mainly graduates students and young researchers with a solid mathematical background (calculus, ordinary differential equations, and probability theory at a minimum), as well as with basic notions of biochemistry, cell biology, and molecular biology. They are meant to serve as a readable and brief entry point into a field that is currently highly active, and will allow the reader to grasp the current state of research and so prepare them for defining and tackling new research problems.