| Description |
1 online resource (xx, 213 pages) : illustrations |
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text file |
| Contents |
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. |
| Summary |
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. |
| Bibliography |
Includes bibliographical references (pages 207-208) and index. |
| Subject |
Calculus of variations.
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Engineering mathematics.
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Calcul des variations. |
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Mathématiques de l'ingénieur. |
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Calculus of variations |
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Engineering mathematics |
| Other Form: |
Print version: Komzsik, Louis. Applied Calculus of Variations for Engineers, Second Edition. 2nd ed. Hoboken : Taylor and Francis, 2014 9781482253603 |
| ISBN |
9781482253603 (electronic bk.) |
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1482253607 (electronic bk.) |
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(acid-free paper) |
| Standard No. |
KE26964 |
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9781482253597 |
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