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Lecture Notes On Calculus Of Variations

2016-09-16 Mathematics
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Release : 2016-09-16
Genre : Mathematics
Kind : eBook
Book Rating : 70X/5 ( reviews)

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Book Synopsis Lecture Notes On Calculus Of Variations by : Kung-ching Chang

Download or read book Lecture Notes On Calculus Of Variations written by Kung-ching Chang. This book was released on 2016-09-16. Available in PDF, EPUB and Kindle. Book excerpt: This is based on the course 'Calculus of Variations' taught at Peking University from 2006 to 2010 for advanced undergraduate to graduate students majoring in mathematics. The book contains 20 lectures covering both the theoretical background material as well as an abundant collection of applications. Lectures 1-8 focus on the classical theory of calculus of variations. Lectures 9-14 introduce direct methods along with their theoretical foundations. Lectures 15-20 showcase a broad collection of applications. The book offers a panoramic view of the very important topic on calculus of variations. This is a valuable resource not only to mathematicians, but also to those students in engineering, economics, and management, etc.

Calculus of Variations and Optimal Control Theory

2012 Mathematics
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Release : 2012
Genre : Mathematics
Kind : eBook
Book Rating : 873/5 ( reviews)

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Book Synopsis Calculus of Variations and Optimal Control Theory by : Daniel Liberzon

Download or read book Calculus of Variations and Optimal Control Theory written by Daniel Liberzon. This book was released on 2012. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a concise yet rigorous introduction to calculus of variations and optimal control theory, and is a self-contained resource for graduate students in engineering, applied mathematics, and related subjects. Designed specifically for a one-semester course, the book begins with calculus of variations, preparing the ground for optimal control. It then gives a complete proof of the maximum principle and covers key topics such as the Hamilton-Jacobi-Bellman theory of dynamic programming and linear-quadratic optimal control. Calculus of Variations and Optimal Control Theory also traces the historical development of the subject and features numerous exercises, notes and references at the end of each chapter, and suggestions for further study. Offers a concise yet rigorous introduction Requires limited background in control theory or advanced mathematics Provides a complete proof of the maximum principle Uses consistent notation in the exposition of classical and modern topics Traces the historical development of the subject Solutions manual (available only to teachers) Leading universities that have adopted this book include: University of Illinois at Urbana-Champaign ECE 553: Optimum Control Systems Georgia Institute of Technology ECE 6553: Optimal Control and Optimization University of Pennsylvania ESE 680: Optimal Control Theory University of Notre Dame EE 60565: Optimal Control

Differential Geometry, Calculus of Variations, and Their Applications

1985-10-01 Mathematics
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Release : 1985-10-01
Genre : Mathematics
Kind : eBook
Book Rating : 673/5 ( reviews)

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Book Synopsis Differential Geometry, Calculus of Variations, and Their Applications by : George M. Rassias

Download or read book Differential Geometry, Calculus of Variations, and Their Applications written by George M. Rassias. This book was released on 1985-10-01. Available in PDF, EPUB and Kindle. Book excerpt: This book contains a series of papers on some of the longstanding research problems of geometry, calculus of variations, and their applications. It is suitable for advanced graduate students, teachers, research mathematicians, and other professionals in mathematics.

Calculus of Variations and Nonlinear Partial Differential Equations

2007-12-10 Mathematics
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Release : 2007-12-10
Genre : Mathematics
Kind : eBook
Book Rating : 14X/5 ( reviews)

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Book Synopsis Calculus of Variations and Nonlinear Partial Differential Equations by : Luigi Ambrosio

Download or read book Calculus of Variations and Nonlinear Partial Differential Equations written by Luigi Ambrosio. This book was released on 2007-12-10. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides the texts of lectures given by L. Ambrosio, L. Caffarelli, M. Crandall, L.C. Evans, N. Fusco at the Summer course held in Cetraro, Italy in 2005. These are introductory reports on current research by world leaders in the fields of calculus of variations and partial differential equations. Coverage includes transport equations for nonsmooth vector fields, viscosity methods for the infinite Laplacian, and geometrical aspects of symmetrization.

Introduction To The Calculus Of Variations (3rd Edition)

2014-08-13 Mathematics
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Release : 2014-08-13
Genre : Mathematics
Kind : eBook
Book Rating : 54X/5 ( reviews)

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Book Synopsis Introduction To The Calculus Of Variations (3rd Edition) by : Bernard Dacorogna

Download or read book Introduction To The Calculus Of Variations (3rd Edition) written by Bernard Dacorogna. This book was released on 2014-08-13. Available in PDF, EPUB and Kindle. Book excerpt: The calculus of variations is one of the oldest subjects in mathematics, and it is very much alive and still evolving. Besides its mathematical importance and its links to other branches of mathematics, such as geometry or differential equations, it is widely used in physics, engineering, economics and biology.This book serves both as a guide to the expansive existing literature and as an aid to the non-specialist — mathematicians, physicists, engineers, students or researchers — in discovering the subject's most important problems, results and techniques. Despite the aim of addressing non-specialists, mathematical rigor has not been sacrificed; most of the theorems are either fully proved or proved under more stringent conditions.In this new edition, several new exercises have been added. The book, containing a total of 119 exercises with detailed solutions, is well designed for a course at both undergraduate and graduate levels.

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