Differentiable And Complex Dynamics Of Several Variables

Description: Please refer to the section BELOW (and NOT ABOVE) this line for the product details - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - Title:Differentiable And Complex Dynamics Of Several VariablesISBN13:9789048152469ISBN10:9048152461Author:Pei-Chu Hu (Author), Chung-Chun Yang (Author)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 Binding:Paperback, PaperbackPublisher:SPRINGER NATUREPublication Date:2010-12-05Weight:1.09 lbsDimensions:0.73'' H x 9.21'' L x 6.14'' WNumber of Pages:342Language:English

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Location: USA

End Time: 2024-11-19T14:19:45.000Z

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