Petroleum Engineering Handbook Volume I

Many mathematical tools can be used to analyze vibrational systems. One of the first mathemat- ical tools a neophyte engineer learns is calculus. The basics of limits, differentiation, and integration permeate all of engineering mathematics. This chapter offers a cursory review of these topics and uses the mathematics of vibrations to demonstrate how the concepts operate. For more specific information on all these topics, consult relevant sections of this Handbook.