Author: Jean-Pierre Aubin
Publisher: Springer Science & Business Media
ISBN: 3662035391
Category : Mathematics
Languages : en
Pages : 442
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Book Description
Progress in the theory of economic equilibria and in game theory has proceeded hand in hand with that of the mathematical tools used in the field, namely nonlinear analysis and, in particular, convex analysis. Jean-Pierre Aubin, one of the leading specialists in nonlinear analysis and its application to economics, has written a rigorous and concise - yet still elementary and self-contained - textbook providing the mathematical tools needed to study optima and equilibria, as solutions to problems, arising in economics, management sciences, operations research, cooperative and non-cooperative games, fuzzy games etc. It begins with the foundations of optimization theory, and mathematical programming, and in particular convex and nonsmooth analysis. Nonlinear analysis is then presented, first game-theoretically, then in the framework of set valued analysis. These results are then applied to the main classes of economic equilibria. The book contains numerous exercises and problems: the latter allow the reader to venture into areas of nonlinear analysis that lie beyond the scope of the book and of most graduate courses.
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ISBN:
Category : Mathematical physics
Languages : en
Pages : 836
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Author: Steven H. Strogatz
Publisher: CRC Press
ISBN: 0429961111
Category : Mathematics
Languages : en
Pages : 532
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Book Description
This textbook is aimed at newcomers to nonlinear dynamics and chaos, especially students taking a first course in the subject. The presentation stresses analytical methods, concrete examples, and geometric intuition. The theory is developed systematically, starting with first-order differential equations and their bifurcations, followed by phase plane analysis, limit cycles and their bifurcations, and culminating with the Lorenz equations, chaos, iterated maps, period doubling, renormalization, fractals, and strange attractors.
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ISBN:
Category : Aeronautics
Languages : en
Pages : 292
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Author: Ping Chen
Publisher: Routledge
ISBN: 1136994874
Category : Business & Economics
Languages : en
Pages : 585
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Book Description
The Principle of Large Numbers indicates that macro fluctuations have weak microfoundations; persistent business cycles and interrupted technologies can be better characterized by macro vitality and meso foundations. Economic growth is limited by market extent and ecological constraints. The trade-off between stability and complexity is the foundation of cultural diversity and mixed economies. The new science of complexity sheds light on the sources of economic instability and complexity. This book consists of the major work of Professor Ping Chen, a pioneer in studying economic chaos and economic complexity. They are selected from works completed since 1987, including original research on the evolutionary dynamics of the division of labour, empirical and theoretical studies of economic chaos and stochastic models of collective behavior. Offering a new perspective on market instability and the changing world order, the basic pillars in equilibrium economics are challenged by solid evidence of economic complexity and time asymmetry, including Friedman’s theory of exogenous money and efficient market, the Frisch model of noise-driven cycles, the Lucas model of microfoundations and rational expectations, the Black-Scholes model of option pricing, and the Coase theory of transaction costs. Throughout, a general theory based on complex evolutionary economics is developed, which integrates different insights from Marx, Marshall, Schumpeter, Keynes and offers a new understanding of the evolutionary history of division of labour. This book will be of interest to postgraduates and researchers in Economics, including macroeconomics, financial economics, advanced econometrics and economic methodology.
Author: J.L. Munoz-Cobo
Publisher: Springer Science & Business Media
ISBN: 146845613X
Category : Science
Languages : en
Pages : 452
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Book Description
The main goal of the meeting was to facilitate and encourage the application of recent developments in the physical and mathematical sciences to the analysis of deterministic and stochastic processes in nuclear engineering. In contrast with the rapid growth (triggered by computer developments) of nonlinear analysis in other branches of the physical sciences, the theoretical analysis of nuclear reactors is still based on linearized models of the neutronics and thermal-hydraulic feedback loop, an approach that ignores some intrinsic nonlinearities of the real system. The subject of noise was added because of the importance of the noise technique in detecting abnormalities associated with perturbations of sufficient amplitude to generate nonlinear processes. Consequently the organizers of the meeting invited a group of leading researchers in the field of noise and nonlinear phenomena in nuclear systems to report on recent advances in their area of research. A selected subgroup of researchers in areas outside the reactor field provided enlightenment on new theoretical developments of immediate relevance to nuclear dynamics theory.
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Category : Weights and measures
Languages : en
Pages : 790
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Book Description
Author: G. Ananthakrishna
Publisher: Trans Tech Publications Ltd
ISBN: 303570659X
Category : Technology & Engineering
Languages : en
Pages : 343
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Book Description
Instabilities and Patterning Proceedings of the Indo-French Workshop on Instabilities and Patterning and of the International Meeting on Non Linear Phenomena in Materials Science, both held in Bangalore, India, December 1994
Author: Proceedings Editors
Publisher: Routledge
ISBN: 1351413171
Category : Technology & Engineering
Languages : en
Pages : 1044
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Book Description
First published in 1991. This volume contains the proceedings of the first European Conference on Structural Dynamics (Eurodyne 90) held at the Ruhr University, Bochum, FRG in June 1990. Volume one (169-9) covers impact, dynamic stability, soil dynamics, system identification, earthquake engineering, earthquake engineering R/C structures, and earthquake engineering for steel structures.
Author: V. Lakshmikantham
Publisher: Walter de Gruyter
ISBN: 3110883236
Category : Mathematics
Languages : en
Pages : 4040
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Book Description
