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

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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 c...

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Detalles Bibliográficos
Autor principal: Lemons, Don S. (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Princeton, NJ : Princeton University Press, [2021]
Temas:
Calculus of variations.
Mathematical physics.
SCIENCE / Physics / General.
Aristotelean causes.
Aristotle.
Bernoulli, Johann.
Descartes, Rene.
Jacobi, C.G J.
Kepler's Third Law.
Lagrange multipliers.
Lagrangian.
Principia.
brachistochrone.
calculus of variations.
cantilever model.
effective potential.
efficient cause.
final cause.
focal length.
generalized coordinates.
geometrical optics.
harmonic motion.
holonomic constraints.
ignorable coordinate.
isopermetric constraints.
least resistance.
meridional rays.
mirages.
natural boundary conditions.
optical path length.
orbit shapes.
projectile trajectory.
spherical pendulum.
true rays.
Acceso en línea:Texto completo
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Tabla de Contenidos:
  • Frontmatter
  • Contents
  • Preface
  • CHAPTER ONE. Least Time
  • CHAPTER TWO. Calculus of Variations
  • CHAPTER THREE. Curved Light
  • CHAPTER FOUR. Least Potential Energy
  • CHAPTER FIVE. Least Action
  • CHAPTER SIX. Hamilton's Principle-Restricted
  • CHAPTER SEVEN. Hamilton's Principle-Extended
  • Index

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