Foundations of Real Analysis: Functions in a Single Variable

“Foundations of Real Analysis: Functions in a Single Variable” offers a comprehensive exploration of key concepts in real analysis, focusing on functions in a single variable. The book delves into the foundations of real analysis, covering topics such as limits, continuity, differentiation, and integration. Readers are guided through the intricacies of infinite sequences and series, providing a solid understanding of the analytical tools necessary for advanced mathematical studies.

This textbook also addresses advanced topics like Stieltjes integral and Fourier series, enhancing the reader’s grasp of more specialized aspects of real analysis. With a focus on rigorous mathematical reasoning, the book serves as a valuable resource for students and researchers seeking a thorough foundation in the principles that underlie the study of real-valued functions.

Keywords

Fourier Series, Stieltjes Integral, Continuous Functions, Differentiation, Infinite Sequences, Infinite Series, Integration, Limits, Real Analysis