Elementary Transcendental Functions of a Real and Complex Variable

Abstract

The first chapter contains a description, rather than a development, of the real number system, and ends with some ideas about rational approximation to irrational numbers. This chapter serves primarily as an introduction to what follows. The second chapter is a discussion of the analytic and number theoretic properties of the elementary transcendental functions of a real variable. This is followed by a chapter which serves as an introduction to the theory of functions of a complex variable. Finally, the last chapter develops the idea of a transcendental function of a complex variable and presents a number of the properties of these functions. Thus, the first two chapters deal with the real number system and the last two chapters with the complex number system.