TY  - BOOK
AU  - Komzsik,Louis
TI  - Applied calculus of variations for engineers
SN  - 9781482253597 (acidfree paper)
U1  - 620.00151564  23
PY  - 2014///
CY  - Boca Raton
PB  - CRC Press
KW  - Calculus of variations
KW  - Engineering mathematics
N1  - Includes bibliographical references and index; Part I: Mathematical foundation. 
1. The foundations of calculus of variations --
2. Constrained variational problems --
3. Multivariate function --
4. Higher order derivatives --
5. The inverse problem of calculus of variations --
6. Analytic solutions of variational problems --
7. Numerical methods of calculus of variations --

Part II: Engineering applications. 
8. Differential geometry --
9. Computational geometry --
10. Variational equations of motion --
11. Analytic mechanics --
12. Computational mechanics--
Closing remarks--
References--
Index
N2  - 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
ER  -