This book contains a consistent, logical and analytical development of (non-relativistic) mechanics (statics and dynamics). The methods of calculus, differential equations, vector algebra and aspects of vector calculus and elements of calculus of variations have been utilized for the purpose. The book will be useful to advanced students of undergraduate courses of science and engineering and as a basic reference book on mechanics for scholars at higher levels.
Preface/Fundamental Concepts and Laws of Mechanics/PART I: ANALYTICAL
STATICS: System of Coplanar Forces Acting on a Body/Some Special
Problems/Centre of Gravity/Equilibrium of Flexible Strings/Bending of
Beams/The Variational Principle of Statics/Stability of Equilibrium/System of
Forces in Three Dimensions/PART II-ANALYTICAL DYNAMICS: Basic Equations of
Newtonian Dynamics of Constant Mass/Rectilinear Motion of a Particle/Motion
in a Plane: Cartesian Coordinates/Motion in a Plane: Polar
Coordinates/Constrained Motion in a Plane/Motion of a Body of Varying
Mass/Motion of a Rigid Body Parallel to a Plane/Impulsive Motion of a Rigid
Body Parallel to a Plane/Lagrange's and Hamilton's Equations of
Motion/Bibliography
Sujitkumar Bose.: Retired Professor of Mathematics S.N. Bose National Centre for Basic Sciences, Calcutta, India Debidas Chattoraj.: Professor and Head, Department of Mathematics Presidency College, Calcutta, India