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Titlebook: Conservation Laws and Symmetry: Applications to Economics and Finance; Ryuzo Sato,Rama V. Ramachandran Book 1990 Springer Science+Business

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書目名稱Conservation Laws and Symmetry: Applications to Economics and Finance
編輯Ryuzo Sato,Rama V. Ramachandran
視頻videohttp://file.papertrans.cn/236/235746/235746.mp4
圖書封面Titlebook: Conservation Laws and Symmetry: Applications to Economics and Finance; Ryuzo Sato,Rama V. Ramachandran Book 1990 Springer Science+Business
描述Modem geometric methods combine the intuitiveness of spatial visualization with the rigor of analytical derivation. Classical analysis is shown to provide a foundation for the study of geometry while geometrical ideas lead to analytical concepts of intrinsic beauty. Arching over many subdisciplines of mathematics and branching out in applications to every quantitative science, these methods are, notes the Russian mathematician A.T. Fomenko, in tune with the Renais- sance traditions. Economists and finance theorists are already familiar with some aspects of this synthetic tradition. Bifurcation and catastrophe theo- ries have been used to analyze the instability of economic models. Differential topology provided useful techniques for deriving results in general equilibrium analysis. But they are less aware of the central role that Felix Klein and Sophus Lie gave to group theory in the study of geometrical systems. Lie went on to show that the special methods used in solving differential equations can be classified through the study of the invariance of these equations under a continuous group of transformations. Mathematicians and physicists later recognized the relation between Lie
出版日期Book 1990
關鍵詞Group theory; Russia; economics; equilibrium; general equilibrium; instability; invariance; stability
版次1
doihttps://doi.org/10.1007/978-94-017-1145-6
isbn_softcover978-90-481-5786-0
isbn_ebook978-94-017-1145-6
copyrightSpringer Science+Business Media New York 1990
The information of publication is updating

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Linear Congruential Generators,s in continuous or discrete time, is deterministic or stochastic with a Brownian, Poisson or other process, uses a finite or infinite time horizon, or even whether the rate of time preference is fixed or variable. These details are unimportant as long as the geometry is unchanged. All cases are treated in a unified manner.
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Conservation Laws in Continuous and Discrete Models,s by Weitzman (1976), Sato (1981, 1985), Kemp and Long (1982), Samuelson (1971, 1982), Sato, Nono and Mimura (1984), and Sato and Maeda (1987) provide an indication of the rapid progress being made in this field.
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Two Conservation Laws in Theoretical Economics,matically, this law is based upon a property of the calculus of variations according to which the optimizing solution to. has, because the integrand does not involve time explicitly, an “energy” integral of the form...
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The Invariance Principle and Income-Wealth Conservation Laws,ntegral of the difference between the kinetic and potential energies for the system is stationary. If the ‘action’ integral is free of the time variable, the sum of the kinetic and potential energies, the Hamiltonian, is constant—the conservation law of the total energy.
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