Conservation Laws and Symmetry Applications to Economics and Finance is popular PDF and ePub book, written by Ryuzo Sato in 2013-06-29, it is a fantastic choice for those who relish reading online the Business & Economics genre. Let's immerse ourselves in this engaging Business & Economics book by exploring the summary and details provided below. Remember, Conservation Laws and Symmetry Applications to Economics and Finance can be Read Online from any device for your convenience.
Conservation Laws and Symmetry Applications to Economics and Finance Book PDF Summary
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's work on differential equations and symme try and, combining the visions of Hamilton, Lie, Klein and Noether, embarked on a research program whose vitality is attested by the innumerable books and articles written by them as well as by biolo gists, chemists and philosophers.
Detail Book of Conservation Laws and Symmetry Applications to Economics and Finance PDF
- Author : Ryuzo Sato
- Release : 29 June 2013
- Publisher : Springer Science & Business Media
- ISBN : 9789401711456
- Genre : Business & Economics
- Total Page : 312 pages
- Language : English
- PDF File Size : 19,5 Mb
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