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Applied calculus of variations for engineers /

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,...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Komzsik, Louis (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Boca Raton, FL : CRC Press, 2014.
Edición:Second edition.
Temas:
Acceso en línea:Texto completo (Requiere registro previo con correo institucional)

MARC

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505 0 |a Part I: Mathematical foundation. The foundations of calculus of variations -- Constrained variational problems -- Multivariate function -- Higher order derivatives -- The inverse problem of calculus of variations -- Analytic solutions of variational problems -- Numerical methods of calculus of variations -- Part II: Engineering applications. Differential geometry -- Computational geometry --Variational equations of motion -- Analytic mechanics -- Computational mechanics. 
520 |a 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. 
588 0 |a Online resource; title from PDF title page (CRCnetBASE, viewed on June 16, 2014). 
504 |a Includes bibliographical references (pages 207-208) and index. 
542 |f Copyright © CRC Press 2014  |g 2014 
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