The Calculus of Variations and Optimal Control: An Introduction: 24 (Mathematical Concepts and Methods in Science and Engineering) - Tapa dura

Leitmann, George

 
9780306407079: The Calculus of Variations and Optimal Control: An Introduction: 24 (Mathematical Concepts and Methods in Science and Engineering)
Tapa dura
ISBN 10: 0306407078 ISBN 13: 9780306407079
Editorial: Springer, 1981

Sinopsis

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.

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Reseña del editor

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.

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Editorial
Springer
Año de publicación
1981
Idioma
Inglés
ISBN 10 
0306407078
ISBN 13 
9780306407079
Encuadernación
Tapa dura
Número de páginas
332
Contacto del fabricante
no disponible
Persona responsable
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Hamburg
Alemania

Otras ediciones populares con el mismo título

9781489903358: The Calculus of Variations and Optimal Control: An Introduction: 24 (Mathematical Concepts and Methods in Science and Engineering)

Edición Destacada

ISBN 10:  1489903356 ISBN 13:  9781489903358
Editorial: Springer, 2013
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