Six Themes on Variation

Six Themes on Variation PDF

Author: Steven James Cox

Publisher: American Mathematical Soc.

Published: 2004

Total Pages: 169

ISBN-13: 0821837206

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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.

Six Themes on Variation

Six Themes on Variation PDF

Author: Steven James Cox

Publisher: American Mathematical Soc.

Published: 2004

Total Pages: 153

ISBN-13: 9781470421380

DOWNLOAD EBOOK →

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 for which the 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 other subjects. Some of the topics addressed in this book are Morse theory, 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.

Psychology

Psychology PDF

Author: Wayne Weiten

Publisher: Wadsworth Publishing Company

Published: 2011

Total Pages: 0

ISBN-13: 9780495813347

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PSYCHOLOGY: THEMES AND VARIATIONS, BRIEFER EDITION, 8TH EDITION helps you experience the excitement of this fascinating field, while helping you study and retain what you learn! Filled with practical ways that you can apply psychology to your everyday life, this best-selling psychology textbook is an experience in learning that you'll remember long after you complete your introductory psychology course. Critical Thinking Applications in every chapter give you specific critical thinking strategies you can apply to what you read. Every chapter of this book offers tools to help you focus on what's important--showing you how to study in ways that help you retain information and do your very best on exams.

Themes and Variations in Shakespeare's Sonnets

Themes and Variations in Shakespeare's Sonnets PDF

Author: J B Leishman

Publisher: Routledge

Published: 2013-04-15

Total Pages: 251

ISBN-13: 1135032785

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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.

Longing for the Harmonies Themes and Variations From Modern Physi

Longing for the Harmonies Themes and Variations From Modern Physi PDF

Author: Frank Wilczek

Publisher: W. W. Norton & Company

Published: 1989-05-02

Total Pages: 388

ISBN-13: 9780393305968

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"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.

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