Differentiable and Complex Dynamics of Several Variables

Released on by Pei-Chu Hu
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  • Differentiable and Complex Dynamics of Several Variables Book Detail

  • Author : Pei-Chu Hu
  • Release Date : 2013-04-17
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 348
  • ISBN 13 : 9401592993
  • File Size : 22,22 MB
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Differentiable and Complex Dynamics of Several Variables by Pei-Chu Hu PDF Summary

Book Description: 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.

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Dynamics in Several Complex Variables

Dynamics in Several Complex Variables

File Size : 10,10 MB
Total View : 8363 Views
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This CBMS lecture series, held in Albany, New York in June 1994 aimed to introduce the audience to the literature on complex dynamics in higher dimension. Some

Dynamics in Several Complex Variables

Dynamics in Several Complex Variables

File Size : 98,98 MB
Total View : 2315 Views
DOWNLOAD

This CBMS lecture series, held in Albany, New York in June 1994, aimed to introduce the audience to the literature on complex dynamics in higher dimension. Some