The calculus of variations

摘要: The calculus of variations has a long history interaction with other branches mathematics, such as geometry and differential equations, physics, particularly mechanics. More recently, the found applications in fields economics electrical engineering. Much mathematics underlying control theory, for instance, can be regarded part variations.This book is an introductory account suitable advanced undergraduate graduate students or mathematical background assumed reader course multivariable calculus, some familiarity elements real analysis ordinary equations. focuses on variational problems that involve one independent variable. fixed endpoint problem constraints are discussed detail. In addition, more topics inverse problem, eigenvalue problems, separability conditions Hamilton-Jacobi equation, Noether's theorem discussed. text contains numerous examples to illustrate key concepts along help student consolidate material. used textbook semester variations, supplement applied classical Bruce van Brunt Senior Lecturer at Massey University, New Zealand. He author Lebesgue-Stieltjes Integral, Michael Carter, been teaching several years.