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- catalog abstract ""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."--Jacket.".
- catalog contributor b10133235.
- catalog created "1997.".
- catalog date "1997".
- catalog date "1997.".
- catalog dateCopyrighted "1997.".
- catalog description ""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.".
- catalog description "Ch. 1. Least Time -- Ch. 2. Calculus of Variations -- Ch. 3. Curved Light -- Ch. 4. Least Potential Energy -- Ch. 5. Least Action -- Ch. 6. Hamilton's Principle -- Restricted -- Ch. 7. Hamilton's Principle -- Extended.".
- catalog description "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."--Jacket.".
- catalog extent "xi, 117 p. :".
- catalog identifier "0691026637 (pbk. : alk. paper)".
- catalog identifier "0691026645 (alk. paper)".
- catalog issued "1997".
- catalog issued "1997.".
- catalog language "eng".
- catalog publisher "Princeton, N.J. : Princeton University Press,".
- catalog subject "530.1/5564 20".
- catalog subject "Calculus of variations.".
- catalog subject "Mathematical physics.".
- catalog subject "QC20.7.C3 L46 1997".
- catalog tableOfContents "Ch. 1. Least Time -- Ch. 2. Calculus of Variations -- Ch. 3. Curved Light -- Ch. 4. Least Potential Energy -- Ch. 5. Least Action -- Ch. 6. Hamilton's Principle -- Restricted -- Ch. 7. Hamilton's Principle -- Extended.".
- catalog title "Perfect form : variational principles, methods, and applications in elementary physics / Don S. Lemons.".
- catalog type "text".