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|a Komzsik, Louis,
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|a Applied calculus of variations for engineers /
|c Louis Komzsik.
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|a Second edition.
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|a Boca Raton, FL :
|b CRC Press,
|c 2014.
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|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.
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|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.
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|a Online resource; title from PDF title page (CRCnetBASE, viewed on June 16, 2014).
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|a Includes bibliographical references (pages 207-208) and index.
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|f Copyright © CRC Press 2014
|g 2014
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|a O'Reilly
|b O'Reilly Online Learning: Academic/Public Library Edition
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|a Calculus of variations.
|
650 |
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|a Engineering mathematics.
|
650 |
|
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|a Calcul des variations.
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|a Mathématiques de l'ingénieur.
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|a Calculus of variations
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|a Engineering mathematics
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776 |
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|i Print version:
|a Komzsik, Louis.
|t Applied Calculus of Variations for Engineers, Second Edition.
|b 2nd ed.
|d Hoboken : Taylor and Francis, 2014
|z 9781482253603
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