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For thirty years this has been the acknowledged standard in advanced classical mechanics courses. This classic text enables students to make connections between classical and modern physics - an indispensable part of a physicist's education. In this edition, Beams Medal winner Charles Poole and John Safko have updated the text to include the latest topics, applications, and notation, to reflect today's physics curriculum. They introduce students to the increasingly important role that nonlinearities play in contemporary applications of classical mechanics. New numerical exercises help students to develop skills in how to use computer techniques to solve problems in physics. Mathematical techniques are presented in detail so that the text remains fully accessible to students who have not had an intermediate course in classical mechanics. The full text downloaded to your computer With eBooks you can: search for key concepts, words and phrases make highlights and notes as you study share your notes with friends eBooks are downloaded to your computer and accessible either offline through the Bookshelf (available as a free download), available online and also via the iPad and Android apps. Upon purchase, you'll gain instant access to this eBook. Time limit The eBooks products do not have an expiry date. You will continue to access your digital ebook products whilst you have your Bookshelf installed.

Classical Mechanics: Pearson New International Edition

• Title


• Contents


• 1 Survey of the Elementary Principles


• 1.1 Mechanics of a Particle


• 1.2 Mechanics of a System of Particles


• 1.3 Constraints


• 1.4 D' Alembert's Principle and Lagrange's Equations


• 1.5 Velocity-Dependent Potentials and the Dissipation Function


• 1.6 Simple Applications of the Lagrangian Formulation


• 2 Variational Principles and Lagrange's Equations


• 2.1 Hamilton's Principle


• 2.2 Some Techniques of the Calculus of Variations


• 2.3 Derivation of Lagrange's Equations from Hamilton's Principle


• 2.4 Extending Hamilton's Principle to Systems with Constraints


• 2.5 Advantages of a Variational Principle Formulation


• 2.6 Conservation Theorems and Symmetry Properties


• 2.7 Energy Function and the Conservation of Energy


• 3 The Central Force Problem


• 3.1 Reduction to the Equivalent One-Body Problem


• 3.2 The Equations of Motion and First Integrals


• 3.3 The Equivalent One-Dimensional Problem, and Classification of Orbits


• 3.4 The Virial Theorem


• 3.5 The Differential Equation for the Orbit, and Integrable Power-Law Potentials


• 3.6 Conditions for Closed Orbits (Bertrand's Theorem)


• 3.7 The Kepler Problem: Inverse-Square Law of Force


• 3.8 The Motion in Time in the Kepler Problem


• 3.9 The Laplace-Runge-Lenz Vector


• 3.10 Scattering in a Central Force Field


• 3.11 Transformation of the Scattering Problem to Laboratory Coordinates


• 3.12 The Three-Body Problem


• 4 The Kinematics of Rigid Body Motion


• 4.1 The Independent Coordinates of a Rigid Body


• 4.2 Orthogonal Transformations


• 4.3 Formal Properties of the Transformation Matrix


• 4.4 The Euler Angles


• 4.5 The Cayley-Klein Parameters and Related Quantities


• 4.6 Euler's Theorem on the Motion of a Rigid Body


• 4.