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Robert Gardner Bartle (November 20, 1927 – September 18, 2003) was an American mathematician specializing in real analysis. He is known for writing the popular textbooks The Elements of Real Analysis (1964), The Elements of Integration (1966), and Introduction to Real Analysis (2011) with Donald R. Sherbert, published by John Wiley & Sons .
[3]: 30 William G. Bade and Robert G. Bartle were brought on as research assistants. [5] Dunford retired shortly after finishing the final volume. [3]: 30 Schwartz, however, went on to write similarly pathbreaking books in various other areas of mathematics. [1] [a] The book met with acclaim when published.
Rudin's text was the first modern English text on classical real analysis, and its organization of topics has been frequently imitated. [1] In Chapter 1, he constructs the real and complex numbers and outlines their properties. (In the third edition, the Dedekind cut construction is sent to an appendix for pedagogical reasons.)
Real analysis is a traditional division of mathematical analysis, along with complex analysis and functional analysis. It is mainly concerned with the 'fine' (micro-level) behaviour of real functions , and related topics.
Martin Schechter (1930, Philadelphia – June 7, 2021) was an American mathematician whose work concerned mathematical analysis (specially partial differential equations and functional analysis and their applications to mathematical physics). He was a professor at the University of California, Irvine. [1] [2]
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]
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Robert C. Miller (1920–1998), American meteorologist and USAF officer who pioneered tornado forecasting; Robert M. Miller (1927–2024), American equine behaviorist and veterinarian; Robert H. Miller (surgeon) (born 1947), American surgeon; Robert I. Miller (fl. 1989–2024), United States Air Force general and medical officer