Introduction to Real Analysis (Textbooks in Mathematics)

This comprehensive and timely new edition of "Graduate Studies in Mathematics" offers a reliable and accessible guide for graduate students, with updates and changes that enhance its value without compromising its core strengths.

Retaining the elements, presentation, and exposition of previous editions, this text is based on the author's experience in teaching graduate courses and caters to the diverse abilities, backgrounds, and motivations of students.

The chapters are well-structured, with the early ones providing a solid foundation for beginners while the later ones delving deeper into more advanced topics that assume greater sophistication and mathematical maturity.

In addition to standard topics, this text includes unique sections on Riemann-Stieltjes integral, Lebesgue's theorem, square summable sequences, normed linear spaces, Weierstrass approximation theorem, Fourier series, and Lebesgue measure and integral.

Whether you are a graduate student or an instructor seeking a reliable and effective teaching tool, this text is an excellent choice for anyone looking to gain a deeper understanding of mathematics.