Perfect Form
Lemons, Don S.
Published by Princeton University Press, 1997
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What does the path taken by a ray of light share with the trajectory of a thrown baseball and the curve of a wheat stalk bending in the breeze? Each is the subject of a different study yet all are optimal shapes; light rays minimize travel time while a thrown baseball minimizes action. All natural curves and shapes, and many artificial ones, manifest such "perfect form" because physical principles can be expressed as a statement requiring some important physical quantity to be mathematically maximum, minimum, or stationary. Perfect Form introduces the basic "variational" principles of classical physics (least time, least potential energy, least action, and Hamilton's principle), develops the mathematical language most suited to their application (the calculus of variations), and presents applications from the physics usually encountered in introductory course sequences.
The text gradually unfolds the physics and mathematics. While other treatments postulate Hamilton's principle and deduce all results from it, Perfect Form begins with the most plausible and restricted variational principles and develops more powerful ones through generalization. One selection of text and problems even constitutes a non-calculus of variations introduction to variational methods, while the mathematics more generally employed extends only to solving simple ordinary differential equations. Perfect Form is designed to supplement existing classical mechanics texts and to present variational principles and methods to students who approach the subject for the first time.
About the Author: Don S. Lemons is Associate Professor of Physics at Bethel College of North Newton, Kansas.
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Title: Perfect Form
Publisher: Princeton University Press
Publication Date: 1997
Book Condition: Good
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1. Perfect Form: Variational Principles, Methods and Applications in Elementary Physics
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Book Description Princeton University Press, 1997. Paperback. Condition: Very Good. Very Good: a copy that has been read, but is in excellent condition. Pages are intact and not marred by notes or highlighting. The spine remains undamaged. Most items will be dispatched the same or the next working day. Seller Inventory # mon0008949931
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2. Perfect Form, Variational Principles, Methods, and Applications in Elementary Physics
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Book Description Princeton University Press, Princeton, 1997. Paperbound. Condition: Fine. First Edition. A clean, unmarked copy. Seller Inventory # 00036134
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Book Description Princeton University Press, 1997. Paperback. Condition: Acceptable. A good reading copy, cover has significant reading wear, marked text, cracked hinges, a good reading copy. We take great pride in accurately describing the condition of our books, ship within 48 hours and offer a 100% money back guarantee. We take great pride in accurately describing the condition of our books and media, ship within 48 hours, and offer a 100% money back guarantee. Seller Inventory # 1M5GVS000216
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5. Perfect Form: Variational Principles, Methods, and Applications in Elementary Physics
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6. Perfect Form: Variational Principles, Methods, and Applications in Elementary Physics (Paperback)
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Book Description Princeton University Press, United States, 1997. Paperback. Condition: New. New. Language: English . Brand New Book. What does the path taken by a ray of light share with the trajectory of a thrown baseball and the curve of a wheat stalk bending in the breeze? Each is the subject of a different study yet all are optimal shapes; light rays minimize travel time while a thrown baseball minimizes action. All natural curves and shapes, and many artificial ones, manifest such perfect form because physical principles can be expressed as a statement requiring some important physical quantity to be mathematically maximum, minimum, or stationary. Perfect Form introduces the basic variational principles of classical physics (least time, least potential energy, least action, and Hamilton s principle), develops the mathematical language most suited to their application (the calculus of variations), and presents applications from the physics usually encountered in introductory course sequences. The text gradually unfolds the physics and mathematics. While other treatments postulate Hamilton s principle and deduce all results from it, Perfect Form begins with the most plausible and restricted variational principles and develops more powerful ones through generalization. One selection of text and problems even constitutes a non-calculus of variations introduction to variational methods, while the mathematics more generally employed extends only to solving simple ordinary differential equations. Perfect Form is designed to supplement existing classical mechanics texts and to present variational principles and methods to students who approach the subject for the first time. Seller Inventory # AAH9780691026633
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7. Perfect Form: Variational Principles, Methods, and Applications in Elementary Physics (Paperback)
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Book Description Princeton University Press, United States, 1997. Paperback. Condition: New. New. Language: English . Brand New Book. What does the path taken by a ray of light share with the trajectory of a thrown baseball and the curve of a wheat stalk bending in the breeze? Each is the subject of a different study yet all are optimal shapes; light rays minimize travel time while a thrown baseball minimizes action. All natural curves and shapes, and many artificial ones, manifest such perfect form because physical principles can be expressed as a statement requiring some important physical quantity to be mathematically maximum, minimum, or stationary. Perfect Form introduces the basic variational principles of classical physics (least time, least potential energy, least action, and Hamilton s principle), develops the mathematical language most suited to their application (the calculus of variations), and presents applications from the physics usually encountered in introductory course sequences. The text gradually unfolds the physics and mathematics. While other treatments postulate Hamilton s principle and deduce all results from it, Perfect Form begins with the most plausible and restricted variational principles and develops more powerful ones through generalization. One selection of text and problems even constitutes a non-calculus of variations introduction to variational methods, while the mathematics more generally employed extends only to solving simple ordinary differential equations. Perfect Form is designed to supplement existing classical mechanics texts and to present variational principles and methods to students who approach the subject for the first time. Seller Inventory # AAH9780691026633
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9. Perfect Form
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Book Description Princeton University Press, 1997. Condition: Good. A+ Customer service! Satisfaction Guaranteed! Book is in Used-Good condition. Pages and cover are clean and intact. Used items may not include supplementary materials such as CDs or access codes. May show signs of minor shelf wear and contain limited notes and highlighting. Seller Inventory # 0691026637-2-4
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Book Description Princeton University Press, 1997. Paperback. Condition: Used: Good. Seller Inventory # SONG0691026637
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