Abstract
Abstract The goals of this chapter on perturbation theory are to introduce the concept of perturbation theory, to present the genesis of perturbation theory as a mathematical technique to solve complex problems in mechanics, mainly celestial mechanics, and to present a historical review of the application of the theory to quantum mechanics. An understanding of the historical development of perturbation theories allows the readers to put the modern quantum mechanical perturbation theory in the proper context. In a subsequent section we will develop the mathematical formulation of the various types of perturbation theory so that the reader can better understand the interaction of atoms and radiation, in particular the calculation of transition probabilities for the absorption, emission, and scattering of radiation by atoms.
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