tao.pdf

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Contents Preface x 1 Introduction 1 1.1 What is analysis? . . . . . . . . . . . . . . . . . . . 1 1.2 Why do analysis? . . . . . . . . . . . . . . . . . . . 3 2 The natural numbers 14 2.1 The Peano axioms . . . . . . . . . . . . . . . . . . 16 2.2 Addition . . . . . . . . . . . . . . . . . . . . . . . . 27 2.3 Multiplication . . . . . . . . . . . . . . . . . . . . . 33 3 Set theory…

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