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Lectures on the Calculus of Variations by Harris Hancock
This book is a comprehensive guide to the calculus of variations, with a focus on the Weierstrassian theory. The calculus of variations is a branch of mathematics that deals with finding the optimal solution to a functional problem. The book covers t . . . READ MORE
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Lectures on the Calculus of Variations by Oskar Bolza
The text addresses basic problems with sufficient generality and rigor to offer a sound introduction for serious study. It provides clear definitions of the fundamental concepts, sharp formulations of the problems, and rigorous demonstrations of thei . . . READ MORE
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Variational Analysis by R. Tyrrell Rockafellar, Roger J-B Wets
From its origins in the minimization of integral functionals, the notion of variations has evolved greatly in connection with applications in optimization, equilibrium, and control. This book develops a unified framework and provides a detailed expos . . . READ MORE
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A History of the Progress of the Calculus of Variations during the Nineteenth Century by Isaac Todhunter
The book traces the progress of the Calculus of Variations during the nineteenth century: Lagrange and and Lacroix, Dirksen and Ohm, Gauss, Poisson, Ostrogradsky, Delaunay, Sarrus, Cauchy, Legendre, Brunacci, and Jacobi. . . . READ MORE
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Differential Equations And The Calculus Of Variations
This book is a modern introduction to the calculus of variations and certain of its ramifications. It is based on a course of lectures which the author delivered for a number of years at the Physics Department of the Lomonosov State University of Mo . . . READ MORE
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Introductory Mathematics For Engineers, A. D. Myškis
This textbook designed to cover key mathematical concepts for engineering students and technical colleges. It emphasises fundamental ideas and their practical applications in specialised fields, presented in an intuitive and accessible manner without . . . READ MORE
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New Variational Methods In Flight Dynamics, V Krotov
This text deals with variational methods for the optimization of motion of aircraft and other objects often encountered in modern technology. The development of aeronautics and astronautics progres sively focuses ever increasing attention on the de . . . READ MORE
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The Topology Of The Calculus Of Variations In The Large
This text investigate the homological properties of functional spaces in connection with the estimation of the number of solutions of the corresponding variational problems. These properties are closely related, on the one hand, to previous work of . . . READ MORE
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Variable Order Fractional Variational Calculus
This text introduce three types of partial fractional operators of variable order. An integration by parts formula for partial fractional integrals of variable order and an extension of Green’s theorem are proved. These results allow us to obtain a . . . READ MORE
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Generalized Fractional Calculus Variations, Odzijewicz
In this thesis we introduce a generalized fractional calculus of variations. We consider variational problems containing generalized fractional integrals and
derivatives and study them using standard (indirect) and direct methods. In particular, we . . . READ MORE
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Calculus Of Variations First Edition by Weinstock Rober
This book was written to fill the need for a basic introduction to the calculus of variations. Simply and easily written, with an emphasis on the applications of this calculus, it has long been a standard reference of physicists, engineers, and appl . . . READ MORE
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