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Pei-Chu Hu, Chung-Chun Yang:
Differentiable and Complex Dynamics of Several Variables - nieuw boek

ISBN: 9789048152469

ID: 978904815246

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. Pei-Chu Hu, Chung-Chun Yang, Books, Differentiable and Complex Dynamics of Several Variables Books, Springer-Verlag/Sci-Tech/Trade

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Pei-Chu Hu / Chung-Chun Yang:
Differentiable and Complex Dynamics of Several Variables - gebruikt boek

ISBN: 9789048152469

ID: 10986966

This book gives a comprehensive and up-to-date survey on dynamics and related topics, such as Fatou-Julia type theory, the Ergodic theorem and invariant sets, hyperbolicity in differentiable or complex dynamics, iterant ion theory on Pm, complex dynamics in Cm and the foundations of differentiable and complex dynamics. The main aims of this volume are, firstly, to advance the study of the above-named topics and to establish the corresponding Fatou-Julia results for complex manifolds, and, secondly, to provide some advanced account of dynamical systems within the framework of geometry and analysis, presented from a unified approach applicable to both real and complex manifolds. Audience: This work will be of interest to graduate students and researchers involved in the fields of global analysis, analysis on manifolds, several complex variables and analytic spaces, partial differential equations, differential geometry, measure and integration. Differentiable and Complex Dynamics of Several Variables Pei-Chu Hu / Chung-Chun Yang, Springer

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Pei-Chu Hu; Chung-Chun Yang:
Differentiable and Complex Dynamics of Several Variables - nieuw boek

ISBN: 9789048152469

ID: 9789048152469

Mathematics; Global Analysis and Analysis on Manifolds; Several Complex Variables and Analytic Spaces; Partial Differential Equations; Differential Geometry; Measure and Integration analysis on manifolds, differential equation, differential geometry, dynamical systems, global analysis, integration, manifold, partial differential equation Books, Springer Shop

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Pei-Chu Hu:
Differentiable and Complex Dynamics of Several Variables - pocketboek

ISBN: 9789048152469

ID: 9789048152469

Differentiable and Complex Dynamics of Several Variables Differentiable-and-Complex-Dynamics-of-Several-Variables~~Pei-Chu-Hu Science>Mathematics>Mathematics Paperback, Springer Netherlands

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Differentiable and Complex Dynamics of Several Variables - pocketboek

ISBN: 9048152461

gebonden uitgave, ID: 13446791

Differentiable and Complex Dynamics of Several Variables ab 99.99 EURO Mathematics and Its Applications. Softcover reprint of hardcover 1st ed. 1999 Medien > Bücher