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4 de mai. de 2022 · 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 -- Appendix : the basics of mathematical logic -- Appendix : the decimal system.
1 Introduction 1 1.1 Whatisanalysis? ..... 1 1.2 Whydoanalysis? ..... 2 2 Starting at the beginning: the natural numbers 13 2.1 ThePeanoaxioms..... 15 2.2 Addition..... 24 2.3 Multiplication..... 29 3 Set theory 33 3.1 Fundamentals ..... 33
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Latest edition. Download book PDF. Overview. Authors: Terence Tao. Presents a foundation text on real analysis for undergraduate and graduate students of mathematics. Emphasizes on number systems and set theory than in comparable analysis. Is the first book of a two-volume textbook on real analysis.
Analysis I Terence Tao,2016-08-29 This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis.
Analysis I Terence Tao,2016-08-29 This is part one of a two-volume book on real analysis and is intended for senior undergraduate students of mathematics who have already been exposed to calculus. The emphasis is on rigour and foundations of analysis.
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22 de fev. de 2023 · Analysis I. : Terence Tao. Springer Nature, Feb 22, 2023 - Mathematics - 340 pages. This is the first book of a two-volume textbook on real analysis. Both the volumes—Analysis I and...
