Introduction to analytical mechanics

The book covers coordinate systems, Newton’s laws, projectiles and air resistance/drag, and charged particle motion. It can also cover momentum, angular momentum, energy and conservative forces. On the other hand, oscillations, Fourier analysis, calculus of variations, Lagrange’s equations and central-force problems are the main topics can only be studied in Analytical Mechanics. Moreover, mechanics in non-inertial frames and rotational motion of rigid bodies (if there is time) are other topics that can be covered in this branch of mechanics. The kinetic and potential energies of the system are expressed using these generalized coordinates or momenta, and the equations of motion can be readily set up, thus analytical mechanics allows numerous mechanical problems to be solved with greater efficiency than fully vectoral methods. Analytical mechanics is the foundation of many areas of theoretical physics, and has wide-ranging applications in engineering and simulation programs.