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“Analysis II” (4th Edition) by Terence Tao is the second volume in a two-part series introducing real analysis, intended for honors undergraduates who have been exposed to calculus. The book emphasizes rigor and foundational concepts, covering topics such as limits, series, continuity, differentiation, Riemann integration, power series, several variable calculus, Fourier analysis, and the Lebesgue integral. This volume builds upon the material presented in “Analysis I,” guiding students from basic principles to more advanced analytical concepts.
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Terence Tao, born on July 17, 1975, in Adelaide, Australia, is a renowned mathematician recognized for his extensive contributions across various mathematical fields. He earned his bachelor's and master's degrees from Flinders University and completed his Ph.D. at Princeton University in 1996 under the supervision of Elias Stein. Since 1999, Tao has been a professor at the University of California, Los Angeles (UCLA). His research encompasses areas such as harmonic analysis, partial differential equations, combinatorics, and number theory. Among his numerous accolades are the Fields Medal (2006), the MacArthur Fellowship (2007), and the Breakthrough Prize in Mathematics (2015).
About The Book
“Analysis II” (4th Edition) by Terence Tao is the second volume in a two-part series introducing real analysis, intended for honors undergraduates who have been exposed to calculus. The book emphasizes rigor and foundational concepts, covering topics such as limits, series, continuity, differentiation, Riemann integration, power series, several variable calculus, Fourier analysis, and the Lebesgue integral. This volume builds upon the material presented in “Analysis I,” guiding students from basic principles to more advanced analytical concepts.
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