Variational Calculus with Engineering Applications
Constantin Udriste / Ionel Tevy
<P><B>VARIATIONAL CALCULUS WITH ENGINEERING APPLICATIONS</B> <p><b>A comprehensive overview of foundational variational methods for problems in engineering</b> <p>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. <p><i>Variational Calculus with Engineering Applications</i> 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. <p><i>Variational Calculus with Engineering Application</i>s readers will also find: <ul><li>Discussion of subjects including variational principles, levitation, geometric dynamics, and more</li> <li>Examples and instructional problems in every chapter, along with MAPLE codes for performing the simulations described in each</li> <li>Engineering applications based on simple, curvilinear, and multiple integral functionals</li></ul> <p><i>Variational Calculus with Engineering Applications</i> is ideal for advanced students, researchers, and instructors in engineering and materials science.
