{"product_id":"terence-tao-analysis-i-analysis-ii-texts-and-readings-in-mathematics-37-38-3rd-edition-corrected-reprint-terence-tao-combo-set-of-2-books","title":"Terence Tao - Analysis I + Analysis Ii (Texts And Readings In Mathematics 37 \u0026 38) (3Rd Edition Corrected Reprint) || Terence Tao Combo (Set Of 2 Books)","description":"\u003cp\u003e\u003cspan style=\"text-decoration: underline;\"\u003e\u003cstrong\u003eDETAILS: \u003c\/strong\u003e\u003c\/span\u003e\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003eASIN ‏ : ‎ B07WHR7TDF\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003eAuthor: Terence Tao\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003ePublisher: Hindustan Book Agency\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003eBinding: Hardcover\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003eLanguage ‏ : ‎ English\u003cbr\u003e\n\u003c\/li\u003e\n\u003cli\u003eItem Weight ‏ : ‎ 1450 g\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003e\u003cspan style=\"text-decoration: underline;\"\u003e\u003cstrong\u003eABOUT THE BOOK\u003c\/strong\u003e\u003c\/span\u003e\u003c\/p\u003e\n\u003cp\u003e\u003ci\u003eAnalysis I\u003c\/i\u003e and \u003ci\u003eAnalysis II\u003c\/i\u003e (Texts and Readings in Mathematics, Volumes 37 \u0026amp; 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.\u003c\/p\u003e\n\u003cul\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cb\u003eAnalysis I\u003c\/b\u003e 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.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cp\u003e\u003cb\u003eAnalysis II\u003c\/b\u003e 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.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp\u003eUnlike many dry mathematical texts, Tao’s conversational, intuitive writing style explains the \u003ci\u003e\"why\"\u003c\/i\u003e alongside the formal proofs, making this combo set an essential rite of passage for mathematics majors transitioning from computational calculus to rigorous pure mathematics.\u003c\/p\u003e\n\u003cp\u003e\u003cstrong\u003e\u003cspan style=\"text-decoration: underline;\"\u003eABOUT THE AUTHOR \u003c\/span\u003e\u003c\/strong\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cb\u003eTerence Tao\u003c\/b\u003e 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.\u003c\/p\u003e","brand":"Hindustan Book Agency","offers":[{"title":"Default Title","offer_id":52260393681194,"sku":"VASY-B07WHR7TDF","price":55.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0693\/1218\/4618\/files\/710qdt9hTFL._SL1500.jpg?v=1786700269","url":"https:\/\/crazyshelf.com\/products\/terence-tao-analysis-i-analysis-ii-texts-and-readings-in-mathematics-37-38-3rd-edition-corrected-reprint-terence-tao-combo-set-of-2-books","provider":"Crazyshelf.com","version":"1.0","type":"link"}