9788195196197, ANALYSIS I, 4TH EDITION, Terence Tao (Author), Hindustan Book Agency, Hardcover, English, Worldwide
$36.07
“Analysis I” (4th Edition) by Terence Tao is the first volume in a two-part series introducing real analysis, tailored for honors undergraduates familiar with calculus. The book emphasizes rigor and foundational concepts, beginning with the construction of number systems and set theory. It progresses through fundamental topics such as limits, series, continuity, differentiation, and Riemann integration, and also covers advanced subjects like power series, multivariable calculus, and Fourier analysis. The text is designed to guide students from basic principles to more complex analytical concepts, fostering a deep understanding of real analysis.
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About The Author
Terence Tao is a renowned mathematician recognized for his extensive contributions across various mathematical fields. Born in 1975, he exhibited exceptional talent from a young age, becoming the youngest participant in the International Mathematical Olympiad at age 10 and winning a gold medal at 13. He earned his Ph.D. from Princeton University at 20 and has since been a faculty member at the University of California, Los Angeles (UCLA). Tao's research spans harmonic analysis, partial differential equations, additive combinatorics, and number theory. In 2006, he was awarded the Fields Medal, one of the highest honors in mathematics, for his contributions to partial differential equations,
Table Of Contents
- Introduction
- Starting at the Beginning: The Natural Numbers
- Set Theory
- Integers and Rationals
- The Real Numbers
- Limits of Sequences
- Series
- Infinite Sets
- Continuous Functions on ℝ
- Differentiation of Functions
- The Riemann Integral
Product Details
- Publisher : Hindustan Book Agency; 4th edition (15 June 2022)
- Language : English
- Hardcover : 376 pages
- ISBN-13 : 978-8195196197
- Item Weight : 0.8 Kg
- Dimensions : 24.8 x 3 x 16.9 cm
About The Book
“Analysis I” (4th Edition) by Terence Tao is the first volume in a two-part series introducing real analysis, tailored for honors undergraduates familiar with calculus. The book emphasizes rigor and foundational concepts, beginning with the construction of number systems and set theory. It progresses through fundamental topics such as limits, series, continuity, differentiation, and Riemann integration, and also covers advanced subjects like power series, multivariable calculus, and Fourier analysis. The text is designed to guide students from basic principles to more complex analytical concepts, fostering a deep understanding of real analysis.
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