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The Foundations of Real Analysis

A Fundamental Course with 347 Exercises and Detailed Solutions

by Richard Mikula


Publisher: BrownWalker Press
Pub date: 2015
Pages: 505
ISBN-10: 1627345655
ISBN-13: 9781627345651
Categories: MathematicsMathematicsTextbooks & Study Guides


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.