Terence Tao - Analysis I + Analysis Ii (Texts And Readings In Mathematics 37 & 38) (3Rd Edition Corrected Reprint) || Terence Tao Combo (Set Of 2 Books)

DETAILS: 

• ASIN ‏ : ‎ B07WHR7TDF
  
• Author: Terence Tao
  
• Publisher: Hindustan Book Agency
  
• Binding: Hardcover
  
• Language ‏ : ‎ English
  
• Item Weight ‏ : ‎ 1450 g

ABOUT THE BOOK

Analysis I and Analysis II (Texts and Readings in Mathematics, Volumes 37 & 38), authored by Fields Medalist Terence Tao, form a highly acclaimed two-volume masterclass in real analysis. Stemming from Tao’s renowned undergraduate honors analysis courses at UCLA, the core philosophy of this set is to rigorously rebuild the foundations of calculus from the ground up.

• Analysis I starts at the very beginning with the Peano axioms for natural numbers, carefully constructing integers, rationals, and the real number system. It then rigorously covers limits, continuous functions, differentiation, the Riemann integral, and infinite series.

• Analysis II extends these concepts into higher dimensions and abstract spaces. It deeply explores metric spaces, uniform convergence, power series, the topology of continuous functions, multivariable differential calculus, and the Lebesgue integral.

Unlike many dry mathematical texts, Tao’s conversational, intuitive writing style explains the "why" alongside the formal proofs, making this combo set an essential rite of passage for mathematics majors transitioning from computational calculus to rigorous pure mathematics.

ABOUT THE AUTHOR 

Terence Tao is an Australian-American mathematician and a professor at the University of California, Los Angeles (UCLA). Widely regarded as one of the greatest living mathematicians, he was a child prodigy (often dubbed the "Mozart of Math") and was awarded the Fields Medal in 2006 for his contributions to partial differential equations, combinatorics, harmonic analysis, and additive number theory. Beyond his extraordinary research, Tao is celebrated as a phenomenal educator. His textbook writing is known for its pedagogical brilliance, seamlessly breaking down formidable, abstract mathematical structures into logical, digestible, and intuitive steps for students.