## Book description

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.

## Table of contents

- Front Cover (1/2)
- Front Cover (2/2)
- Contents
- Preface to the second edition
- Preface to the first edition
- Acknowledgments
- About the author
- List of notations
- Part I: Mathematical foundation
- Chapter 1: The foundations of calculus of variations (1/5)
- Chapter 1: The foundations of calculus of variations (2/5)
- Chapter 1: The foundations of calculus of variations (3/5)
- Chapter 1: The foundations of calculus of variations (4/5)
- Chapter 1: The foundations of calculus of variations (5/5)
- Chapter 2: Constrained variational problems (1/3)
- Chapter 2: Constrained variational problems (2/3)
- Chapter 2: Constrained variational problems (3/3)
- Chapter 3: Multivariate function (1/3)
- Chapter 3: Multivariate function (2/3)
- Chapter 3: Multivariate function (3/3)
- Chapter 4: Higher order derivatives (1/2)
- Chapter 4: Higher order derivatives (2/2)
- Chapter 5: The inverse problem of calculus of variations (1/3)
- Chapter 5: The inverse problem of calculus of variations (2/3)
- Chapter 5: The inverse problem of calculus of variations (3/3)
- Chapter 6: Analytic solutions of variational problems (1/4)
- Chapter 6: Analytic solutions of variational problems (2/4)
- Chapter 6: Analytic solutions of variational problems (3/4)
- Chapter 6: Analytic solutions of variational problems (4/4)
- Chapter 7: Numerical methods of calculus of variations (1/4)
- Chapter 7: Numerical methods of calculus of variations (2/4)
- Chapter 7: Numerical methods of calculus of variations (3/4)
- Chapter 7: Numerical methods of calculus of variations (4/4)
- Part II: Engineering applications
- Chapter 8: Differential geometry (1/3)
- Chapter 8: Differential geometry (2/3)
- Chapter 8: Differential geometry (3/3)
- Chapter 9: Computational geometry (1/4)
- Chapter 9: Computational geometry (2/4)
- Chapter 9: Computational geometry (3/4)
- Chapter 9: Computational geometry (4/4)
- Chapter 10: Variational equations of motion (1/3)
- Chapter 10: Variational equations of motion (2/3)
- Chapter 10: Variational equations of motion (3/3)
- Chapter 11: Analytic mechanics (1/4)
- Chapter 11: Analytic mechanics (2/4)
- Chapter 11: Analytic mechanics (3/4)
- Chapter 11: Analytic mechanics (4/4)
- Chapter 12: Computational mechanics (1/6)
- Chapter 12: Computational mechanics (2/6)
- Chapter 12: Computational mechanics (3/6)
- Chapter 12: Computational mechanics (4/6)
- Chapter 12: Computational mechanics (5/6)
- Chapter 12: Computational mechanics (6/6)
- Closing remarks
- References
- List of Figures
- List of Tables
- Back Cover

## Product information

- Title: Applied Calculus of Variations for Engineers, 2nd Edition
- Author(s):
- Release date: June 2014
- Publisher(s): CRC Press
- ISBN: 9781482253603

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