ELEMENTARY CLASSICAL MECHANICS

"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. Request Inspection Copy 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."