An innovative and mathematically sound treatment of the foundations of analytical mechanics and the relation of classical mechanics to relativity and quantum theory. It presents classical mechanics in a way designed to assist the student's transition to quantum theory. INDICE: I: INTRODUCTION: THE TRADITIONAL THEORY; 1: Basic Dynamics of Point Particles and Collections; 2: Introduction to Lagrangian Mechanics; 3: Lagrangian Theory of Constraints; 4: Introduction to Hamiltonian Mechanics; 5: The Calculus of Variations; 6: Hamilton's Principle; 7: Linear Operators and Dyadics; 8: Kinematics of Rotation; 9: Rotational Dynamics; 10: Small Vibrations About Equilibrium; 11: Two-body Central Force Systems; 12: Introduction to Scattering; II:MECHANICS WITH TIME AS A COORDINATE; 13: Lagrangian Mechanics with Time as a Coordinate; 14: Hamiltonian Mechanics with Time as a Coordinate; 15: Hamilton's Principle and Noether's Theorem; 16: Relativity and Spacetime; 17: Fourvectors and Operators; 18: Relativistic Mechanics; 19: Canonical Transformations; 20: Generating Functions; 21: Hamilton-Jacobi Theory; III: MATHEMATICAL APPENDICES; A: Vector Fundamentals; B: Matrices and Determinants; C: Eigenvalue Problem with General Metric; D: The Calculus of Many Variables; E: Geometry of Phase Space
- ISBN: 978-0-19-100162-8
- Editorial: Oxford University
- Encuadernacion: Cartoné
- Páginas: 656
- Fecha Publicación: 01/05/2011
- Nº Volúmenes: 1
- Idioma: Inglés