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The Calculus of Variations and Optimal Control - George Leitmann
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An Introduction When the Tyrian princess Dido landed on the North African shore of the Mediterranean sea she was welcomed by a local chieftain. He offered her all the land that she could enclose between the shoreline and a rope of knotted cowhide. While the legend does not tell us, we may assume that Princess Dido arrived at the correct solution by stretching the rope into the shape of a circular arc and thereby maximized the area of the land upon which she was to found Carthage. This story of the founding of Carthage is apocryphal. Nonetheless it is probably the first account of a problem of the kind that inspired an entire mathematical discipline, the calculus of variations and its extensions such as the theory of optimal control. This book is intended to present an introductory treatment of the calculus of variations in Part I and of optimal control theory in Part II. The discussion in Part I is restricted to the simplest problem of the calculus of variations. The topic is entirely classical all of the basic theory had been developed before the turn of the century. Consequently the material comes from many sources however, those most useful to me have been the books of Oskar Bolza and of George M. Ewing. Part II is devoted to the elementary aspects of the modern extension of the calculus of variations, the theory of optimal control of dynamical systems. The Calculus of Variations and Optimal Control: When the Tyrian princess Dido landed on the North African shore of the Mediterranean sea she was welcomed by a local chieftain. He offered her all the land that she could enclose between the shoreline and a rope of knotted cowhide. While the legend does not tell us, we may assume that Princess Dido arrived at the correct solution by stretching the rope into the shape of a circular arc and thereby maximized the area of the land upon which she was to found Carthage. This story of the founding of Carthage is apocryphal. Nonetheless it is probably the first account of a problem of the kind that inspired an entire mathematical discipline, the calculus of variations and its extensions such as the theory of optimal control. This book is intended to present an introductory treatment of the calculus of variations in Part I and of optimal control theory in Part II. The discussion in Part I is restricted to the simplest problem of the calculus of variations. The topic is entirely classical all of the basic theory had been developed before the turn of the century. Consequently the material comes from many sources however, those most useful to me have been the books of Oskar Bolza and of George M. Ewing. Part II is devoted to the elementary aspects of the modern extension of the calculus of variations, the theory of optimal control of dynamical systems. Maschinenbau Variationsrechnung, Springer

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The Calculus of Variations and Optimal Control - George Leitmann
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ISBN: 9780306407079

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An Introduction When the Tyrian princess Dido landed on the North African shore of the Mediterranean sea she was welcomed by a local chieftain. He offered her all the land that she could enclose between the shoreline and a rope of knotted cowhide. While the legend does not tell us, we may assume that Princess Dido arrived at the correct solution by stretching the rope into the shape of a circular arc and thereby maximized the area of the land upon which she was to found Carthage. This story of the founding of Carthage is apocryphal. Nonetheless it is probably the first account of a problem of the kind that inspired an entire mathematical discipline, the calculus of variations and its extensions such as the theory of optimal control. This book is intended to present an introductory treatment of the calculus of variations in Part I and of optimal control theory in Part II. The discussion in Part I is restricted to the simplest problem of the calculus of variations. The topic is entirely classical; all of the basic theory had been developed before the turn of the century. Consequently the material comes from many sources; however, those most useful to me have been the books of Oskar Bolza and of George M. Ewing. Part II is devoted to the elementary aspects of the modern extension of the calculus of variations, the theory of optimal control of dynamical systems. Bücher / Fremdsprachige Bücher / Englische Bücher 978-0-306-40707-9, Springer

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The Calculus of Variations and Optimal Control - George Leitmann
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George Leitmann:
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When the Tyrian princess Dido landed on the North African shore of the Mediterranean sea she was welcomed by a local chieftain. He offered her all the land that she could enclose between the shoreline and a rope of knotted cowhide. While the legend does not tell us, we may assume that Princess Dido arrived at the correct solution by stretching the rope into the shape of a circular arc and thereby maximized the area of the land upon which she was to found Carthage. This story of the founding of Carthage is apocryphal. Nonetheless it is probably the first account of a problem of the kind that inspired an entire mathematical discipline, the calculus of variations and its extensions such as the theory of optimal control. This book is intended to present an introductory treatment of the calculus of variations in Part I and of optimal control theory in Part II. The discussion in Part I is restricted to the simplest problem of the calculus of variations. The topic is entirely classical; all of the basic theory had been developed before the turn of the century. Consequently the material comes from many sources; however, those most useful to me have been the books of Oskar Bolza and of George M. Ewing. Part II is devoted to the elementary aspects of the modern extension of the calculus of variations, the theory of optimal control of dynamical systems. An Introduction Buch (fremdspr.) Bücher>Fremdsprachige Bücher>Englische Bücher, Springer

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The Calculus of Variations and Optimal Control: An Introduction - George Leitmann
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The Calculus of Variations and Optimal Control: An Introduction George Leitmann, Books, Science and Nature, The Calculus of Variations and Optimal Control: An Introduction Books>Science and Nature, Springer US

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Mathematics; Calculus of Variations and Optimal Control; Optimization; Mechanical Engineering Calculus of Variations, Optimal control, calculus, control, differential equation, extrema, optimization Books Book, Springer Science+Business Media

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The Calculus of Variations and Optimal Control
Autor:

Leitmann, George

Titel:

The Calculus of Variations and Optimal Control

ISBN-Nummer:

0306407078

Detailangaben zum Buch - The Calculus of Variations and Optimal Control


EAN (ISBN-13): 9780306407079
ISBN (ISBN-10): 0306407078
Gebundene Ausgabe
Erscheinungsjahr: 2007
Herausgeber: Springer-Verlag GmbH
328 Seiten
Gewicht: 0,812 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 17.05.2007 15:13:00
Buch zuletzt gefunden am 24.01.2017 23:51:09
ISBN/EAN: 0306407078

ISBN - alternative Schreibweisen:
0-306-40707-8, 978-0-306-40707-9

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