Classical Mechanics 5th Edition by Tom W. B. Kibble, Frank H. Berkshire – Ebook PDF Instant Download/Delivery: 1860944353, 978-1860944352
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ISBN 10: 1860944353
ISBN 13: 978-1860944352
Author: Tom W. B. Kibble, Frank H. Berkshire
Classical Mechanics 5th Edition: This is the fifth edition of a well-established textbook. It is intended to provide a thorough coverage of the fundamental principles and techniques of classical mechanics, an old subject that is at the base of all of physics, but in which there has also in recent years been rapid development. The book is aimed at undergraduate students of physics and applied mathematics. It emphasizes the basic principles, and aims to progress rapidly to the point of being able to handle physically and mathematically interesting problems, without getting bogged down in excessive formalism. Lagrangian methods are introduced at a relatively early stage, to get students to appreciate their use in simple contexts. Later chapters use Lagrangian and Hamiltonian methods extensively, but in a way that aims to be accessible to undergraduates, while including modern developments at the appropriate level of detail. The subject has been developed considerably recently while retaining a truly central role for all students of physics and applied mathematics.
This edition retains all the main features of the fourth edition, including the two chapters on geometry of dynamical systems and on order and chaos, and the new appendices on conics and on dynamical systems near a critical point. The material has been somewhat expanded, in particular to contrast continuous and discrete behaviours. A further appendix has been added on routes to chaos (period-doubling) and related discrete maps. The new edition has also been revised to give more emphasis to specific examples worked out in detail.
Classical Mechanics is written for undergraduate students of physics or applied mathematics. It assumes some basic prior knowledge of the fundamental concepts and reasonable familiarity with elementary differential and integral calculus.
Classical Mechanics 5th Edition Table of contents:
1. Introduction
1.1 Space and Time
1.2 Newton’s Laws
1.3 The Concepts of Mass and Force
1.4 External Forces
1.5 Summary
2. Linear Motion
2.1 Conservative Forces; Conservation of Energy
2.2 Motion near Equilibrium; the Harmonic Oscillator
2.3 Complex Representation
2.4 The Law of Conservation of Energy…
3. Energy and Angular Momentum
3.1 Energy; Conservative Forces
3.2 Projectiles
3.3 Moments; Angular Momentum
3.4 Central Forces; Conservation of Angular Momentum…
4. Central Conservative Forces
4.1 The Isotropic Harmonic Oscillator
4.2 The Conservation Laws
4.3 The Inverse Square Law
4.4 Orbits…
5. Rotating Frames
5.1 Angular Velocity; Rate of Change of a Vector
5.2 Particle in a Uniform Magnetic Field
5.3 Acceleration; Apparent Gravity
5.4 Coriolis Force
5.5 Larmor Effect…
6. Potential Theory
6.1 Gravitational and Electrostatic Potentials
6.2 The Dipole and Quadrupole
6.3 Spherical Charge Distributions
6.4 Expansion of Potential at Large Distances…
7. The Two-Body Problem
7.1 Centre-of-mass and Relative Co-ordinates
7.2 The Centre-of-mass Frame
7.3 Elastic Collisions
7.4 CM and Lab Cross-sections
7.5 Summary
8. Many-Body Systems
8.1 Momentum; Centre-of-mass Motion
8.2 Angular Momentum; Central Internal Forces
8.3 The Earth-Moon System
8.4 Energy; Conservative Forces
8.5 Lagrange’s Equations
8.6 Summary
9. Rigid Bodies
9.1 Basic Principles
9.2 Rotation about an Axis
9.3 Perpendicular Components of Angular Momentum
9.4 Principal Axes of Inertia…
10. Lagrangian Mechanics
10.1 Generalized Co-ordinates; Holonomic Systems
10.2 Lagrange’s Equations
10.3 Precession of a Symmetric Top
10.4 Pendulum Constrained to Rotate about an Axis…
11. Small Oscillations and Normal Modes
11.1 Orthogonal Co-ordinates
11.2 Equations of Motion for Small Oscillations
11.3 Normal Modes
11.4 Coupled Oscillators…
12. Hamiltonian Mechanics
12.1 Hamilton’s Equations
12.2 Conservation of Energy
12.3 Ignorable Co-ordinates
12.4 General Motion of the Symmetric Top…
13. Dynamical Systems and Their Geometry
13.1 Phase Space and Phase Portraits
13.2 First-order Systems — the Phase Line (n = 1)
13.3 Second-order Systems — the Phase Plane (n = 2)
13.4 Prey-Predator Competing-species Systems and War…
14. Order and Chaos in Hamiltonian Systems
14.1 Integrability
14.2 Surfaces of Section
14.3 Action/Angle Variables
14.4 Some Hamiltonian Systems which Exhibit Chaos…
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