Relativistic Velocity Transformation and Doppler Effect

Description
With the help of Lorentz transformation differentials velocity with respect to other reference frame has been calculated.In Doppler effect in light expression of frequency is calculated for a source making an angle with the direction of motion. Examples like that of twin paradox and appearance of moving objects are interesting.

Prof. Stanley Kowalski, Physics 8.01 2003 Massachusetts Institute of Technology: MIT OpenCourseWare),http://ocw.mit.edu (Accessed Aug 5th,2011). License: Creative Commons BY-NC-SA: http://ocw.mit.edu/terms/#cc