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Introduction; I Approaching Limits; 1 A Whole Lot of Numbers; 2 Let’s Get Real; 3 The Joy of Inequality; 4 Where Do You Go To, My Lovely; 5 Bounds for Glory; 6 You Cannot be Series; II Exploring Limits; 7 Wonderful Numbers; 8 Infinite Products; 9 Continued Fractions; 10 How Infinite Can You Get?; 11 Constructing the Real Numbers; 12 Where to Next in Analysis? The Calculus; 13 Some Brief Remarks About the History of Analysis; Further Reading; Apendices; 1 The Binomial Theorem; 2 The Language of Set Theory; 3 Proof by Mathematical Induction; 4 The Algebra of Numbers; Hints and Selected Solutions

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