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Variational Calculus With Elementary Convexity
Posted on 2010-03-27
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More John L. Troutman, "" This book is intended as an introduction to the use of variational methods in the formulation and solution of optimization problems of both mathe- matical and physical interest. It is an outgrowth of lectures presented in the Mathematics Department of Syracuse University during the past several years. In preliminary form, the material from Chapters 0-6 comprised a standard one-semester course of three hours per week given to upper-level students in mathematics, physics, computer science, and engineering, and that from the remainder of the book was offered on request during a succeed- ing semester. When pursued systematically, it is designed to carry those who have completed a standard course in multidimensional calculus-with some exposure to differential equations-through the rudiments of rigorous analysis in (normed) linear spaces. For it is in the presence of the linear spaces of continuously differentiable functions that a theory for the integral inequalities which generated the calculus of variations can first be clarified. In this setting, the fundamentals of the subject are explored, including the natural role of the differential equations of Euler-Lagrange in relating the behavior of integral inequalities to the physical principles of stationarity. Download Not all books on / appear on the homepage. In order not to miss many of them follow Download Link (Ebooks section) (see top of each page on AH) and visit too :)
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