# Applied Calculus of Variations for Engineers

DOI link for Applied Calculus of Variations for Engineers

Applied Calculus of Variations for Engineers book

# Applied Calculus of Variations for Engineers

DOI link for Applied Calculus of Variations for Engineers

Applied Calculus of Variations for Engineers book

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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

part 1|107 pages

Mathematical foundation

part 2|95 pages

Engineering applications