ELEMENTARY CLASSICAL MECHANICS
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"This book develops elementary classical mechanics in a setting that is appropriate for beginning university mathematics students without requiring a background in physics. It is an ideal first look at the subject for those who will go on to study more advanced aspects of the subject, such as Lagrangian, Hamiltonian, and quantum mechanics. These more advanced developments of mechanics are at the forefront of research in modern mathematics. Certainly, topics such as symplectic geometry, Lagrangian intersection theory, spectral theory, pseudodifferential operators, etc. do not require a background in classical mechanics, but studies in these areas are greatly enriched by a knowledge of their roots and how some of their motivational issues arose.
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Sample Chapter(s)
Preface
Chapter 1: Kinematics — Scalars, Vectors, and Vector Algebra
Contents:
Preface
List of Figures
List of Tables
Prelude: What is Mechanics and What Framework Will We Use to Understand it?
Kinematics — Scalars, Vectors, and Vector Algebra
Kinematics — Vectors and Coordinates
Kinematics — Space Curves, their Description and Derivatives, Circular Motion, and Line Integrals
Examples of the Computation of Line Integrals and Newton's Axioms
Dynamics — Motion of a Particle in One Dimension
Dynamics — Projectiles, Constrained Motion, Friction
Dynamics — Work and Power
Dynamics — Conservation of Energy and Momentum
Dynamics — The Phase Plane for One-Dimensional Motion
Dynamics — The Simple Pendulum. Torque and Angular Momentum
Motion in a Central Force Field
Bibliography
Index
Readership: Undergraduate students in physics, mathematics and engineering."
原價:
1224
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1163
現省:
61元
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