A Primer on the Calculus of Variations and Optimal Control Theory

Mesterton-Gibbons, Mike

ISBN 10: 0821847724 / ISBN 13: 9780821847725

Verlag: Amer Mathematical Society, 2009

Beschreibung

252 pages. 8.75x5.50x0.50 inches. In Stock.

Bestandsnummer des Verkäufers 0821847724

Bibliografische Details

• Titel: A Primer on the Calculus of Variations and Optimal Control Theory
• Verlag: Amer Mathematical Society
• Erscheinungsjahr: 2009
• Sprache: Englisch
• ISBN-10: 0821847724
• ISBN-13: 9780821847725
• Einband: Paperback
• Zustand: Brand New

Über diesen Titel

Inhaltsangabe

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.

Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.