The Foundations of Real Analysis

Abstract

This textbook covers the subject of real analysis from the fundamentals up through beginning graduate level. It is appropriate as an introductory course text or a review text for graduate qualifying examinations. Some special features of the text include a thorough discussion of transcendental functions such as trigonometric, logarithmic, and exponential from power series expansions, deducing all important functional properties from the series definitions. The text is written in a user-friendly manner, and includes full solutions to all assigned exercises throughout the text.

About the Author

Richard Mikula has a Ph.D. in Mathematics from Rutgers, the State University of New Jersey, and is currently teaching at Lock Haven University. His specialization is in geometric analysis and elliptic and parabolic partial differential equations.