Applied calculus of variations for engineers

Description

Features Offers a unique, engineering application-oriented approach to the calculus of variations Contains new chapters on analytic solutions of variational problems and Lagrange-Hamilton equations of motion Provides new sections detailing the boundary integral and finite element methods and their calculation techniques Includes new examples addressing the compression of a beam and the optimal cross section of beam under bending force Discusses the solution of Laplace’s equation, Poisson’s equation with various methods, and more 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.