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Author: Steven James Cox
Publisher: American Mathematical Soc.
ISBN: 0821837206
Category : Computers
Languages : en
Pages : 169
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Book Description
The calculus of variations is a beautiful subject with a rich history and with origins in the minimization problems of calculus. Although it is now at the core of many modern mathematical fields, it does not have a well-defined place in most undergraduate mathematics curricula. This volume should nevertheless give the undergraduate reader a sense of its great character and importance. Interesting functionals, such as area or energy, often give rise to problems whose most natural solution occurs by differentiating a one-parameter family of variations of some function. The critical points of the functional are related to the solutions of the associated Euler-Lagrange equation. These differential equations are at the heart of the calculus of variations and its applications to wave mechanics, minimal surfaces, soap bubbles, and modeling traffic flow. All are readily accessible to advanced undergraduates. This book is derived from a workshop sponsored by Rice University. It is suitable for advanced undergraduates, graduate students and research mathematicians interested in the calculus of variations and its applications to other subjects.
Author: Steven James Cox
Publisher: American Mathematical Soc.
ISBN: 0821837206
Category : Computers
Languages : en
Pages : 169
Get Book Here
Book Description
The calculus of variations is a beautiful subject with a rich history and with origins in the minimization problems of calculus. Although it is now at the core of many modern mathematical fields, it does not have a well-defined place in most undergraduate mathematics curricula. This volume should nevertheless give the undergraduate reader a sense of its great character and importance. Interesting functionals, such as area or energy, often give rise to problems whose most natural solution occurs by differentiating a one-parameter family of variations of some function. The critical points of the functional are related to the solutions of the associated Euler-Lagrange equation. These differential equations are at the heart of the calculus of variations and its applications to wave mechanics, minimal surfaces, soap bubbles, and modeling traffic flow. All are readily accessible to advanced undergraduates. This book is derived from a workshop sponsored by Rice University. It is suitable for advanced undergraduates, graduate students and research mathematicians interested in the calculus of variations and its applications to other subjects.
Author: Ludwig van Beethoven
Publisher:
ISBN:
Category : Piano music
Languages : en
Pages : 32
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Book Description
Author: Beethoven
Publisher:
ISBN:
Category :
Languages : en
Pages : 26
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Book Description
Author: Krystyna Pomorska
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3112329961
Category : Literary Criticism
Languages : en
Pages : 92
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Book Description
No detailed description available for "Themes and Variations in Pasternak's Poetics".
Author: Ceri Richards
Publisher: National Museum Wales
ISBN: 9780720005233
Category : Art
Languages : en
Pages : 50
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Book Description
Author: Johann Gottfried Arnold
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: J B Leishman
Publisher: Routledge
ISBN: 1135032785
Category : Literary Criticism
Languages : en
Pages : 251
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Book Description
First published in 1961. This study analyses Shakespeare's treatment of the universal themes of Beauty, Love and Time. He compares Shakespeare with other great poets and sonnet writers - Pindar, Horace and Ovid, with Petrarch, Tasso and Ronsart, with Shakespeare's own English predecessors and contemporaries, notably Spenser, Daniel and Drayton and with John Donne. By discussing their resemblances and differences, a not altogether orthodox picture of Shakespeare's attitude to life is presented, which suggests that he was not as phlegmatic and equable a person as critics have often supposed.
Author: Mike Mesterton-Gibbons
Publisher: American Mathematical Soc.
ISBN: 0821847724
Category : Mathematics
Languages : en
Pages : 274
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Book Description
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.
Author: James E. Davison
Publisher: Geneva Press
ISBN: 1611649226
Category : Religion
Languages : en
Pages : 85
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Book Description
This study focuses on Jesus as Messiah as a beginning point for considering Matthew's perspective of the life and ministry of Jesus Christ. Jesus' important teachings are explored and we find how they shape our Christian lives today. They give the churchâ€"as the community of faithâ€"directions for its mission and ministries in the world. The Six Themes Everyone Should Know series introductes biblical books and their main themes. Each volume consists of six chapters that present major biblical themes; each chapter contains an introduction and three major sections: What does the biblical theme mean? What is the meaning of this biblical theme for the life of faith? What does the biblical theme mean for the church at this point in history for action?
Author: Frank Wilczek
Publisher: W. W. Norton & Company
ISBN: 9780393305968
Category : Science
Languages : en
Pages : 388
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Book Description
"Occasionally, there comes along a popular science book that both scientists and non-scientist can read with pleasure and profit, and this is one."—The New Yorker Devoted to sharing their own delight and awe before the fundamental mysteries of the cosmos, Frank Wilczek (winner of the 2004 Nobel Prize in Physics) and science writer Betsy Devine also have a serious purpose: to reveal to the lay reader how a heightened perception can respond to timeless themes of the physical universe. For example, they show that even the most exotic theories always confirm that physical laws are precisely the same throughout the universe, and they explain how we have learned that the most massive molten stars and the tiniest frozen particles are in physical harmony. In their descriptions of the workings of the half-known universe, Wilczek and Devine bring all of us face to face with the beauty of eternal order and the inevitability of rational ends and beginnings.
