## Perfect Form: Variational Principles, Methods, and Applications in Elementary PhysicsWhat 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. The text gradually unfolds the physics and mathematics. While other treatments postulate Hamilton's principle and deduce all results from it, |

### What people are saying - Write a review

### Other editions - View all

Perfect Form: Variational Principles, Methods, and Applications in ... Don S. Lemons Limited preview - 1997 |

Perfect Form: Variational Principles, Methods, and Applications in ... Don S. Lemons Limited preview - 2020 |

Perfect Form: Variational Principles, Methods, and Applications in ... Don Stephen Lemons No preview available - 1997 |