Principles of Mathematical Analysis (3rd Edition) by Walter Rudin

Principles of Mathematical Analysis – 3rd Edition

By Walter Rudin | McGraw-Hill Education

Known affectionately as “Baby Rudin” among mathematicians, Principles of Mathematical Analysis by Walter Rudin is one of the most celebrated and rigorous textbooks in the history of mathematics. Now in its 3rd Edition, this classic work remains the gold standard for undergraduate and graduate courses in real analysis — renowned for its precision, elegance, and depth.

Published by McGraw-Hill Education, this text has shaped the mathematical education of generations of students and continues to be the definitive reference for anyone serious about understanding the foundations of mathematical analysis.

Topics Covered

• The real and complex number systems
• Basic topology and metric spaces
• Sequences and series, including convergence and limits
• Continuity, differentiation, and the Riemann-Stieltjes integral
• Sequences and series of functions, uniform convergence
• Functions of several variables and differential forms
• Lebesgue theory (introduction)

Who Is This Book For?

Essential for undergraduate and graduate mathematics students, this text is widely used in real analysis courses at universities worldwide. It is also an invaluable reference for mathematicians, physicists, engineers, and anyone seeking a rigorous foundation in mathematical analysis.

The definitive real analysis textbook — precise, elegant, and indispensable for every serious student of mathematics.