Foundations of Mathematical Analysis - (Dover Books on Mathematics) by Richard Johnsonbaugh & W E Pfaffenberger (Paperback)

This comprehensive textbook on modern analysis provides a definitive look at the subject, covering applications to statistics, numerical analysis, Fourier series, differential equations, mathematical analysis, and functional analysis.

With over 750 exercises, including hints and solutions, this book is perfect for upper-level undergraduate students and beginning graduate students seeking a firm grounding in modern analysis.

The textbook presents the necessary background on the limit concept and covers topics such as differential calculus of the real line, the Riemann-Stieltjes integral, sequences and series of functions, transcendental functions, inner product spaces, and Fourier series.

Whether you're looking to deepen your understanding of modern analysis or seeking a comprehensive textbook for your course, this book is an excellent choice.