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Based on a course developed by the author, Mechanics provides an introduction to classical mechanics. Each chapter begins with an introduction to the topics under discussion and is followed by precise definitions, propositions, and theorems and ends with exercises that reinforce students understanding. The treatment of the subject is mathematical, but the mathematics used is elementary. In fact, all the mathematics presented involve basic vector algebra and differential calculus of vector valued functions of a real variable. The author avoids explaining the underlying geometry in an explicit manner. Instead, he presents geometric discussions in a kinematical disguise - a treatment beneficial not only to the mathematics student but also to students of physics and engineering.
Table of Contents
Preface BASIC CONCEPTS OF MOTION Introduction Concepts of a Particle Motion of a Particle Motion of a Plane Polar Coordinates Equation of Motion
RECTILINEAR MOTION Introduction Equation of Rectilinear Motion Integration of Equation of Motion Some Qualitative Analysis
FIRST INTEGRALS OF MOTION Introduction Conservative Force Fields Energy, Momentum and Torque Conservation Principles Use of Conservation Principles
CENTRAL FORCE FIELDS Introduction Basic Properties Equation of Motion in Polar Coordinates Integration of Equations of Motion An Explanation Circular Orbits Force Field from Equation of Orbit Planetary Motion (Kebler's Problem)
SYSTEM OF PARTICLES Introduction A System of Particles The Center of Mass Some More Definitions Conservation Principles The Two Body Problem Some Solved Examples
RIGID DYNAMICS Introduction The Nature of Motion The Instantaneous Angular Velocity Equations of Motion The Inertia Tensor Euler's Equations Symmetric Rigid Bodies
LAGRANGIAN MECHANICS Introduction Generalized Coordinates Motion The Lagrangian Function Lagrange's Equations Hamilton's Principle of Least Action Hamilton's Equations of Motion Conservation Principles
Supplementary Reading Index
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CHOICE – Outstanding Academic Title – Award Winner
CHOICE – 2018 Outstanding Academic Title – Award Winner
Shingo Research and Professional Publication Award Winner
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