Variational Calculus with Engineering Applications - Constantin Udriste

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Résumé :
VARIATIONAL CALCULUS WITH ENGINEERING APPLICATIONS

A comprehensive overview of foundational variational methods for problems in engineering

Variational calculus is a field in which small alterations in functions and functionals are used to find their relevant maxima and minima. It is a potent tool for addressing a range of dynamic problems with otherwise counter-intuitive solutions, particularly ones incorporating multiple confounding variables. Its value in engineering fields, where materials and geometric configurations can produce highly specific problems with unconventional or unintuitive solutions, is considerable.

Variational Calculus with Engineering Applications provides a comprehensive survey of this toolkit and its engineering applications. Balancing theory and practice, it offers a thorough and accessible introduction to the field pioneered by Euler, Lagrange and Hamilton, offering tools that can be every bit as powerful as the better-known Newtonian mechanics. It is an indispensable resource for those looking for engineering-oriented overview of a subject whose capacity to provide engineering solutions is only increasing.

Variational Calculus with Engineering Applications readers will also find:

• Discussion of subjects including variational principles, levitation, geometric dynamics, and more
• Examples and instructional problems in every chapter, along with MAPLE codes for performing the simulations described in each
• Engineering applications based on simple, curvilinear, and multiple integral functionals

Variational Calculus with Engineering Applications is ideal for advanced students, researchers, and instructors in engineering and materials science....

Biographie:
Sufficient Conditions for Extremum 14

1.4 Optimum with Constraints...

Sommaire:

Preface ix

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1 Extrema of Differentiable Functionals 1

1.1 Differentiable Functionals 1

1.2 Extrema of Differentiable Functionals 6

1.3 Second Variation...