UID:
almafu_9960119327002883
Format:
1 online resource (xiv, 315 pages) :
,
digital, PDF file(s).
Edition:
1st ed.
ISBN:
0-511-89736-7
Content:
This textbook describes in detail the classical theory of dynamics, a subject fundamental to the physical sciences, which has a large number of important applications. The author's aim is to describe the essential content of the theory, the general way in which it is used, and the basic concepts that are involved. No deep understanding can be obtained simply by examining theoretical considerations, so Dr Griffiths has included throughout many examples and exercises. This then is an ideal textbook for an undergraduate course for physicists or mathematicians who are familiar with vector analysis.
Note:
Title from publisher's bibliographic system (viewed on 05 Oct 2015).
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Cover -- Frontmatter -- Contents -- Prefaces -- Introduction -- The Newtonian method -- 1.1 The technique of mathematical modelling -- 1.2 The testing of models and theories -- 1.3 The primitive base of classical dynamics -- 1.4 The character of the theory -- Space, time and vector notation -- 2.1 Space -- 2.2 Time -- 2.3 Scalar and vector notation -- 2.4 Position and Euclidean space -- 2.5 Velocity and acceleration -- 2.6 Kinematics: examples -- Exercises -- Force, mass and the law of motion -- 3.1 The concept of a particle -- 3.2 The law of inertia -- 3.3 The concept of force -- 3.4 Mass and the magnitude of a force -- 3.5 The law of motion and its application -- 3.6 Rectilinear motion and projectiles: examples -- Exercises -- 3.7 Comments on other axiomatic formulations -- Newtonian relativity -- 4.1 Relative motion -- 4.2 Inertial frames of reference -- 4.3 Motion relative to the earth: examples -- Exercises -- 4.4 The search for an inertial frame -- 4.5 Absolute rotation or Mach's principle -- Newtonian gravitation -- 5.1 Kepler's laws -- 5.2 An intermediate theory of planetary motion -- 5.3 Newton's theory of universal gravitation -- 5.4 Observational evidence -- 5.5 Gravitational and inertial mass -- 5.6 The general relativistic correction -- 5.7 Weight -- Particle dynamics -- 6.1 Kinetic energy, work and the activity equation -- 6.2 Irrotational fields -- 6.3 Conservative fields and potential energy -- 6.4 The energy integral -- 6.5 Gravitational fields -- 6.6 Momentum and angular momentum -- 6.7 Impulsive motion -- 6.8 Standard examples -- Exercises -- Systems of several particles -- 7.1 Systems of several particles as a model -- 7.2 Centroids: examples -- Exercises -- 7.3 Energy and angular momentum -- 7.4 Equations of motion -- 7.5 n-body problems: examples -- Exercises -- 7.6 Motion of bodies with variable mass.
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7.7 Rocket motion: examples -- Exercises -- 7.8 Constraints and degrees of freedom -- 7.9 An approach to the dynamics of fluids -- Rigid body dynamics -- 8.1 The concept of a rigid body -- 8.2 The possible motions of a rigid body -- 8.3 Moments of inertia -- 8.4 Evaluating moments of inertia: examples -- Exercises -- 8.5 Equations for motion in a plane -- 8.6 2D rigid body motion: examples -- Exercises -- 8.7 Moments and products of inertia -- 8.8 Principal axes of inertia -- 8.9 The inertia tensor: examples -- Exercises -- 8.10 Equations of motion -- 8.11 The energy integral -- 8.12 3D rigid body motion: examples -- Exercises -- 8.13 Impulsive motion -- 8.14 Impulses: examples -- Exercises -- Analytical dynamics -- 9.1 Generalised coordinates -- 9.2 Kinetic energy and the generalised momentum components -- 9.3 Virtual work and the generalised force components -- 9.4 Lagrange's equations for a holonomic system -- 9.5 First integrals of Lagrange's equations -- 9.6 Holonomic systems: examples -- Exercises -- 9.7 The fundamental equation -- 9.8 Systems subject to constraints -- 9.9 Lagrange's equations for impulsive motion -- 9.10 Nonholonomic and impulsive motion: examples -- Exercises -- Variational principles -- 10.1 Hamilton' principle -- 10.2 Deductions from Hamilton's principle -- 10.3 The principle of least action -- Hamilton-Jacobi theory -- 11.1 Hamilton's equations of motion -- 11.2 Integrals of Hamilton's equations -- 11.3 The Hamiltonian approach: examples -- Exercises -- 11.4 Hamilton's principal function -- 11.5 The Hamilton-Jacobi equation -- 11.6 Hamilton's characteristic function -- 11.7 The Hamilton-Jacobi approach: examples -- Exercises -- Appendix: list of basic results and definitions -- Suggestions for further reading -- Index.
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English
Additional Edition:
ISBN 0-521-09069-5
Additional Edition:
ISBN 0-521-23760-2
Language:
English
URL:
https://doi.org/10.1017/CBO9780511897368
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