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Principles of Mathematical Analysis, colloquially known as "PMA" or "Baby Rudin," [1] is an undergraduate real analysis textbook written by Walter Rudin. Initially published by McGraw Hill in 1953, it is one of the most famous mathematics textbooks ever written.
Walter Rudin (May 2, 1921 – May 20, 2010 [2]) was an Austrian-American mathematician and professor of mathematics at the University of Wisconsin–Madison. [3]In addition to his contributions to complex and harmonic analysis, Rudin was known for his mathematical analysis textbooks: Principles of Mathematical Analysis, [4] Real and Complex Analysis, [5] and Functional Analysis. [6]
An Introduction to Complex Analysis in Several Variables. Van Nostrand. Rudin, Walter (1976). Principles of Mathematical Analysis. Walter Rudin Student Series in Advanced Mathematics (3rd ed.). McGraw-Hill. ISBN 9780070542358. Rudin, Walter (1986). Real and Complex Analysis (International Series in Pure and Applied Mathematics). McGraw-Hill.
In mathematics, the branch of real analysis studies the behavior of real numbers, ... Rudin, Walter (1987). Real and Complex Analysis (3rd ed.). New York: McGraw-Hill.
Principles of Mathematical Analysis, by Walter Rudin [52] Real Analysis: Measure Theory, Integration, and Hilbert Spaces, by Elias Stein [ 53 ] Complex Analysis: An Introduction to the Theory of Analytic Functions of One Complex Variable, by Lars Ahlfors [ 54 ]
Peter Duren compared Stein and Shakarchi's attempt at a unified treatment favorably with Walter Rudin's textbook Real and Complex Analysis, which Duren calls too terse. On the other hand, Duren noted that this sometimes comes at the expense of topics that reside naturally within only one branch.
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