Lectures on the Calculus of Variations

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Publisher :
ISBN 13 :
Total Pages : 322 pages
Book Rating : 4.3/5 (986 download)

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Book Synopsis Lectures on the Calculus of Variations by : Harris Hancock

Download or read book Lectures on the Calculus of Variations written by Harris Hancock and published by . This book was released on 1904 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Calculus of Variations and Optimal Control Theory

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Publisher : Princeton University Press
ISBN 13 : 0691151873
Total Pages : 255 pages
Book Rating : 4.6/5 (911 download)

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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 and published by Princeton University Press. This book was released on 2012 with total page 255 pages. 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

Calculus of Variations II

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Publisher : Springer Science & Business Media
ISBN 13 : 9783540579618
Total Pages : 692 pages
Book Rating : 4.5/5 (796 download)

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Book Synopsis Calculus of Variations II by : Mariano Giaquinta

Download or read book Calculus of Variations II written by Mariano Giaquinta and published by Springer Science & Business Media. This book was released on 2004-06-30 with total page 692 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book by two of the foremost researchers and writers in the field is the first part of a treatise that covers the subject in breadth and depth, paying special attention to the historical origins of the theory. Both individually and collectively these volumes have already become standard references.

A Primer on the Calculus of Variations and Optimal Control Theory

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Publisher : American Mathematical Soc.
ISBN 13 : 0821847724
Total Pages : 274 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A Primer on the Calculus of Variations and Optimal Control Theory by : Mike Mesterton-Gibbons

Download or read book A Primer on the Calculus of Variations and Optimal Control Theory written by Mike Mesterton-Gibbons and published by American Mathematical Soc.. This book was released on 2009 with total page 274 pages. Available in PDF, EPUB and Kindle. Book excerpt: The calculus of variations is used to find functions that optimize quantities expressed in terms of integrals. Optimal control theory seeks to find functions that minimize cost integrals for systems described by differential equations. This book is an introduction to both the classical theory of the calculus of variations and the more modern developments of optimal control theory from the perspective of an applied mathematician. It focuses on understanding concepts and how to apply them. The range of potential applications is broad: the calculus of variations and optimal control theory have been widely used in numerous ways in biology, criminology, economics, engineering, finance, management science, and physics. Applications described in this book include cancer chemotherapy, navigational control, and renewable resource harvesting. The prerequisites for the book are modest: the standard calculus sequence, a first course on ordinary differential equations, and some facility with the use of mathematical software. It is suitable for an undergraduate or beginning graduate course, or for self study. It provides excellent preparation for more advanced books and courses on the calculus of variations and optimal control theory.

A History of Analysis

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Publisher : American Mathematical Soc.
ISBN 13 : 0821826239
Total Pages : 434 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis A History of Analysis by : Hans Niels Jahnke

Download or read book A History of Analysis written by Hans Niels Jahnke and published by American Mathematical Soc.. This book was released on 2003 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis as an independent subject was created as part of the scientific revolution in the seventeenth century. Kepler, Galileo, Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few, contributed to its genesis. Since the end of the seventeenth century, the historical progress of mathematical analysis has displayed unique vitality and momentum. No other mathematical field has so profoundly influenced the development of modern scientific thinking. Describing this multidimensional historical development requires an in-depth discussion which includes a reconstruction of general trends and an examination of the specific problems. This volume is designed as a collective work of authors who are proven experts in the history of mathematics. It clarifies the conceptual change that analysis underwent during its development while elucidating the influence of specific applications and describing the relevance of biographical and philosophical backgrounds. The first ten chapters of the book outline chronological development and the last three chapters survey the history of differential equations, the calculus of variations, and functional analysis. Special features are a separate chapter on the development of the theory of complex functions in the nineteenth century and two chapters on the influence of physics on analysis. One is about the origins of analytical mechanics, and one treats the development of boundary-value problems of mathematical physics (especially potential theory) in the nineteenth century. The book presents an accurate and very readable account of the history of analysis. Each chapter provides a comprehensive bibliography. Mathematical examples have been carefully chosen so that readers with a modest background in mathematics can follow them. It is suitable for mathematical historians and a general mathematical audience.

Lecture Notes On Calculus Of Variations

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Publisher : World Scientific
ISBN 13 : 981314470X
Total Pages : 325 pages
Book Rating : 4.8/5 (131 download)

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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 and published by World Scientific. This book was released on 2016-09-16 with total page 325 pages. 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.

Encyclopaedia of Mathematics

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Publisher : Springer Science & Business Media
ISBN 13 : 1556080085
Total Pages : 556 pages
Book Rating : 4.5/5 (56 download)

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Book Synopsis Encyclopaedia of Mathematics by : Michiel Hazewinkel

Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 1993-01-31 with total page 556 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fme subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Calculus of Variations

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Publisher : Courier Corporation
ISBN 13 : 0486135012
Total Pages : 260 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Calculus of Variations by : I. M. Gelfand

Download or read book Calculus of Variations written by I. M. Gelfand and published by Courier Corporation. This book was released on 2012-04-26 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fresh, lively text serves as a modern introduction to the subject, with applications to the mechanics of systems with a finite number of degrees of freedom. Ideal for math and physics students.

The Calculus of Variations and Functional Analysis

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Publisher : World Scientific
ISBN 13 : 9812794999
Total Pages : 435 pages
Book Rating : 4.8/5 (127 download)

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Book Synopsis The Calculus of Variations and Functional Analysis by : L. P. Lebedev

Download or read book The Calculus of Variations and Functional Analysis written by L. P. Lebedev and published by World Scientific. This book was released on 2003 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is aimed at those who are concerned about Chinese medicine - how it works, what its current state is and, most important, how to make full use of it. The audience therefore includes clinicians who want to serve their patients better and patients who are eager to supplement their own conventional treatment. The authors of the book belong to three different fields, modern medicine, Chinese medicine and pharmacology. They provide information from their areas of expertise and concern, attempting to make it comprehensive for users. The approach is macroscopic and philosophical; readers convinced of the philosophy are to seek specific assistance.

Ernst Zermelo - Collected Works/Gesammelte Werke II

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Publisher : Springer Science & Business Media
ISBN 13 : 3540708561
Total Pages : 803 pages
Book Rating : 4.5/5 (47 download)

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Book Synopsis Ernst Zermelo - Collected Works/Gesammelte Werke II by : Ernst Zermelo

Download or read book Ernst Zermelo - Collected Works/Gesammelte Werke II written by Ernst Zermelo and published by Springer Science & Business Media. This book was released on 2013-08-15 with total page 803 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ernst Zermelo (1871-1953) is regarded as the founder of axiomatic set theory and is best-known for the first formulation of the axiom of choice. However, his papers also include pioneering work in applied mathematics and mathematical physics. This edition of his collected papers consists of two volumes. The present Volume II covers Ernst Zermelo’s work on the calculus of variations, applied mathematics, and physics. The papers are each presented in their original language together with an English translation, the versions facing each other on opposite pages. Each paper or coherent group of papers is preceded by an introductory note provided by an acknowledged expert in the field who comments on the historical background, motivation, accomplishments, and influence.

Advanced Calculus (Revised Edition)

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Publisher : World Scientific Publishing Company
ISBN 13 : 9814583952
Total Pages : 595 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Advanced Calculus (Revised Edition) by : Lynn Harold Loomis

Download or read book Advanced Calculus (Revised Edition) written by Lynn Harold Loomis and published by World Scientific Publishing Company. This book was released on 2014-02-26 with total page 595 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authorised reissue of the long out of print classic textbook, Advanced Calculus by the late Dr Lynn Loomis and Dr Shlomo Sternberg both of Harvard University has been a revered but hard to find textbook for the advanced calculus course for decades.This book is based on an honors course in advanced calculus that the authors gave in the 1960's. The foundational material, presented in the unstarred sections of Chapters 1 through 11, was normally covered, but different applications of this basic material were stressed from year to year, and the book therefore contains more material than was covered in any one year. It can accordingly be used (with omissions) as a text for a year's course in advanced calculus, or as a text for a three-semester introduction to analysis.The prerequisites are a good grounding in the calculus of one variable from a mathematically rigorous point of view, together with some acquaintance with linear algebra. The reader should be familiar with limit and continuity type arguments and have a certain amount of mathematical sophistication. As possible introductory texts, we mention Differential and Integral Calculus by R Courant, Calculus by T Apostol, Calculus by M Spivak, and Pure Mathematics by G Hardy. The reader should also have some experience with partial derivatives.In overall plan the book divides roughly into a first half which develops the calculus (principally the differential calculus) in the setting of normed vector spaces, and a second half which deals with the calculus of differentiable manifolds.

The Encyclopaedia Britannica

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Publisher :
ISBN 13 :
Total Pages : 1118 pages
Book Rating : 4.3/5 ( download)

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Book Synopsis The Encyclopaedia Britannica by :

Download or read book The Encyclopaedia Britannica written by and published by . This book was released on 1911 with total page 1118 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Lectures on the Theory of Maxima and Minima of Functions of Several Variables

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Publisher :
ISBN 13 :
Total Pages : 440 pages
Book Rating : 4.:/5 (89 download)

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Book Synopsis Lectures on the Theory of Maxima and Minima of Functions of Several Variables by : Harris Hancock

Download or read book Lectures on the Theory of Maxima and Minima of Functions of Several Variables written by Harris Hancock and published by . This book was released on 1904 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Emergence of the American Mathematical Research Community, 1876-1900

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Publisher : American Mathematical Soc.
ISBN 13 : 9780821809075
Total Pages : 532 pages
Book Rating : 4.8/5 (9 download)

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Book Synopsis The Emergence of the American Mathematical Research Community, 1876-1900 by : Karen Hunger Parshall

Download or read book The Emergence of the American Mathematical Research Community, 1876-1900 written by Karen Hunger Parshall and published by American Mathematical Soc.. This book was released on 1994 with total page 532 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cover -- Title page -- Contents -- Preface -- Acknowledgments -- Photograph and Figure Credits -- Chapter 1. An overview of American mathematics: 1776-1876 -- Chapter 2. A new departmental prototype: J.J. Sylvester and the Johns Hopkins University -- Chapter 3. Mathematics at Sylvester's Hopkins -- Chapter 4. German mathematics and the early mathematical career of Felix Klein -- Chapter 5. America's wanderlust generation -- Chapter 6. Changes on the horizon -- Chapter 7. The World's Columbian exposition of 1893 and the Chicago mathematical congress -- Chapter 8. Surveying mathematical landscapes: The Evanston colloquium lectures -- Chapter 9. Meeting the challenge: The University of Chicago and the American mathematical research community -- Chapter 10. Epilogue: Beyond the threshold: The American mathematical research community, 1900-1933 -- Bibliography -- Subject Index -- Back Cover

Introduction to the Calculus of Variations

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Publisher : Imperial College Press
ISBN 13 : 1848163339
Total Pages : 241 pages
Book Rating : 4.8/5 (481 download)

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Book Synopsis Introduction to the Calculus of Variations by : Bernard Dacorogna

Download or read book Introduction to the Calculus of Variations written by Bernard Dacorogna and published by Imperial College Press. This book was released on 2009 with total page 241 pages. Available in PDF, EPUB and Kindle. Book excerpt: The calculus of variations is one of the oldest subjects in mathematics, yet is very much alive and is 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, the chapter on regularity has been significantly expanded and 27 new exercises have been added. The book, containing a total of 103 exercises with detailed solutions, is well designed for a course at both undergraduate and graduate levels.

The Encyclopædia Britannica

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Publisher :
ISBN 13 :
Total Pages : 1122 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis The Encyclopædia Britannica by : Hugh Chisholm

Download or read book The Encyclopædia Britannica written by Hugh Chisholm and published by . This book was released on 1911 with total page 1122 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Proceedings of the ... Annual Convention

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Publisher :
ISBN 13 :
Total Pages : 1030 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Proceedings of the ... Annual Convention by : Ontario Educational Association

Download or read book Proceedings of the ... Annual Convention written by Ontario Educational Association and published by . This book was released on 1903 with total page 1030 pages. Available in PDF, EPUB and Kindle. Book excerpt: