Applied calculus of variations for engineers
著者
書誌事項
Applied calculus of variations for engineers
CRC Press, c2014
2nd ed
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注記
Includes bibliographical references (p. 207-208) and index
内容説明・目次
内容説明
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.
This Second Edition text:
Contains new chapters discussing analytic solutions of variational problems and Lagrange-Hamilton equations of motion in depth
Provides new sections detailing the boundary integral and finite element methods and their calculation techniques
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
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.
目次
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.
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