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Differentiable and Complex Dynamics of Several Variables (Mathematics and Its Applications, 483) - Hardcover
Synopsis
The development of dynamics theory began with the work of Isaac Newton. In his theory the most basic law of classical mechanics is f = ma, which describes the motion n in IR. of a point of mass m under the action of a force f by giving the acceleration a. If n the position of the point is taken to be a point x E IR. , and...
- PublisherSpringer
- Publication date1999
- ISBN 10 079235771X
- ISBN 13 9780792357711
- BindingHardcover
- LanguageEnglish
- Number of pages352
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Differentiable and Complex Dynamics of Several Variables (Mathematics and Its Applications)
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Differentiable and Complex Dynamics of Several Variables
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Springer Netherlands, Springer Netherlands, 1999
ISBN 10: 079235771X
ISBN 13: 9780792357711
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Buch. Condition: Neu. Druck auf Anfrage Neuware - Printed after ordering - The development of dynamics theory began with the work of Isaac Newton. In his theory the most basic law of classical mechanics is f = ma, which describes the motion n in IR. of a point of mass m under the action of a force f by giving the acceleration a. If n the position of the point is taken to be a point x E IR. , and if the force f is supposed to be a function of x only, Newton's Law is a description in terms of a second-order ordinary differential equation: J2x m dt = f(x). 2 It makes sense to reduce the equations to first order by defining the velo city as an extra n independent variable by v = :i; = ~~ E IR. . Then x = v, mv = f(x). L. Euler, J. L. Lagrange and others studied mechanics by means of an analytical method called analytical dynamics. Whenever the force f is represented by a gradient vector field f = - lU of the potential energy U, and denotes the difference of the kinetic energy and the potential energy by 1 L(x,v) = 2'm(v,v) - U(x), the Newton equation of motion is reduced to the Euler-Lagrange equation ~~ are used as the variables, the Euler-Lagrange equation can be If the momenta y written as . 8L y= 8x' Further, W. R. Seller Inventory # 9780792357711
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Differentiable and Complex Dynamics of Several Variables
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Gebunden. Condition: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. The development of dynamics theory began with the work of Isaac Newton. In his theory the most basic law of classical mechanics is f = ma, which describes the motion n in IR. of a point of mass m under the action of a force f by giving the acceleration a. I. Seller Inventory # 5968904
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