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Perfect Form: Variational Principles, Methods, and Applications in Elementary Physics - Don S. Lemons
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Don S. Lemons:
Perfect Form: Variational Principles, Methods, and Applications in Elementary Physics - gebruikt boek

ISBN: 9780691026633

ID: 9780691026633

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 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. Books, Mathematics~~Mathematical Analysis, Perfect-Form-Variational-Principles-Methods-and-Applications-in-Elementary-Physics~~Don-S-Lemons, 999999999, Perfect Form: Variational Principles, Methods, and Applications in Elementary Physics, Don S. Lemons, 0691026637, Princeton University Press, , , , , Princeton University Press

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Perfect Form: Variational Principles, Methods, and Applications in Elementary Physics - Lemons, Don S.
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Lemons, Don S.:
Perfect Form: Variational Principles, Methods, and Applications in Elementary Physics - gebruikt boek

ISBN: 9780691026633

ID: 2545479

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. Perfect Form: Variational Principles, Methods, and Applications in Elementary Physics Lemons, Don S., Princeton University Press

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

ISBN: 9780691026633

ID: 16cd6f4fb92ddc5a1f0dd34b940f6d85

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, 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., [PU: Princeton University Press]

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Perfect Form - Don S. Lemons
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ISBN: 0691026637

ID: 11956455906

[EAN: 9780691026633], Gebraucht, guter Zustand, [PU: Princeton University Press], Science|Mathematical Physics, A little bit of wear. May contain some library markings.

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Perfect Form
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Perfect Form - gebruikt boek

ISBN: 0691026637

ID: 12570486881

[EAN: 9780691026633], Perfect Form, [PU: Princeton University Press]

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Bijzonderheden over het boek
Perfect Form: Variational Principles, Methods, and Applications in Elementary Physics
auteur:

Lemons, Don S.

Titel:

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

ISBN:

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.

Gedetalleerde informatie over het boek. - Perfect Form: Variational Principles, Methods, and Applications in Elementary Physics


EAN (ISBN-13): 9780691026633
ISBN (ISBN-10): 0691026637
pocket book
Verschijningsjaar: 1997
Uitgever: PRINCETON UNIV PR
144 Bladzijden
Gewicht: 0,195 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 27.11.2007 13:16:44
Boek voor het laatst gevonden op 27.02.2017 06:41:40
ISBN/EAN: 0691026637

ISBN - alternatieve schrijfwijzen:
0-691-02663-7, 978-0-691-02663-3


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