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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 - neues Buch

ISBN: 9780691026633

ID: 978069102663

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 Formintroduces 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 Formbegins 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 Formis designed to supplement existing classical mechanics texts and to present variational principles and methods to students who approach the subject for the first time. Don S. Lemons, Books, Science and Nature, Perfect Form: Variational Principles, Methods, and Applications in Elementary Physics Books>Science and Nature, 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 - gebrauchtes Buch

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 - Don S. Lemons
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Perfect Form - gebrauchtes Buch

ISBN: 0691026637

ID: 5098099

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 mecha math,mathematical physics,mathematics,physics,science,science and math,science and math,science and scientists,science and technology,textbooks Physics, 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 - gebrauchtes Buch

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
Vergriffenes Buch, derzeit bei uns nicht verfügbar.
(*)
Perfect Form - neues Buch

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 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. Books, [PU: Princeton University Press]

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

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.

Detailangaben zum Buch - Perfect Form: Variational Principles, Methods, and Applications in Elementary Physics


EAN (ISBN-13): 9780691026633
ISBN (ISBN-10): 0691026637
Taschenbuch
Erscheinungsjahr: 1997
Herausgeber: PRINCETON UNIV PR
144 Seiten
Gewicht: 0,195 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 27.11.2007 13:16:44
Buch zuletzt gefunden am 16.10.2017 13:23:29
ISBN/EAN: 9780691026633

ISBN - alternative Schreibweisen:
0-691-02663-7, 978-0-691-02663-3


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