Perfect Form: Variational Principles, Methods, and Applications in Elementary Physics

Name: Perfect Form: Variational Principles, Methods, and Applications in Elementary Physics
Brand: Princeton University Press
SKU: 9780691026633
Price: 6615.0 INR
Availability: InStock

by Don S. Lemons

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ISBN13: 9780691026633
Binding: Paperback
Subject: N/A
Publisher: Princeton University Press
Publisher Imprint: Princeton University Press
Publication Date: March 23, 1997
Pages: 136
Original Price: USD 72.0
Language: English
Edition: N/A
Item Weight: 195 grams
BISAC Subject(s): Physics / Mathematical & Computational

About The 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.

About The Author

Don S. Lemons is Associate Professor of Physics at Bethel College of North Newton, Kansas.

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