Description
Taylor & Francis Applied Calculus Of Variations For Engineers 2Nd Edition by LOUIS KOMZSIK
The purpose of the calculus of variations is to find optimal solutions to engineering problems whose optimum may be a certain quantity, shape, or function. Applied Calculus of Variations for Engineers addresses this important mathematical area applicable to many engineering disciplines. Its unique, application-oriented approach sets it apart from the theoretical treatises of most texts, as it is aimed at enhancing the engineer's understanding of the topic._x000D__x000D__x000D__x000D_This Second Edition text:_x000D__x000D__x000D__x000D__x000D__x000D__x000D__x000D__x000D_Contains new chapters discussing analytic solutions of variational problems and Lagrange-Hamilton equations of motion in depth_x000D__x000D__x000D__x000D_Provides new sections detailing the boundary integral and finite element methods and their calculation techniques_x000D__x000D__x000D__x000D_Includes enlightening new examples, such as the compression of a beam, the optimal cross section of beam under bending force, the solution of Laplace's equation, and Poisson's equation with various methods_x000D__x000D__x000D__x000D_Applied Calculus of Variations for Engineers, Second Edition extends the collection of techniques aiding the engineer in the application of the concepts of the calculus of variations._x000D_ _x000D_
The Foundations of Calculus of Variations. Constrained Variational Problems. Multivariate Functionals. Higher Order Derivatives. The Inverse Problem of Calculus of Variations. Analytic Solutions of Variational Problems. Numerical Methods of Calculus of Variations. Differential Geometry. Computational Geometry. Variational Equations of Motion. Analytic Mechanics. Computational Mechanics._x000D_