3279 results in Real and Complex Analysis
Frontmatter
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PART II - FUNCTIONS
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3 - Sequences: a first bite at infinity
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Appendix 1 - Properties of the real numbers
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Bibliography
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1 - Mathematical induction
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12 - Sequences of functions
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Appendix 3 - Questions for student investigation and discussion
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2 - Inequalities
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Contents
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4 - Completeness: what the rational numbers lack
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6 - Functions and continuity: neighbourhoods, limits of functions
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11 - Indices and circle functions
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PART I - NUMBERS
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5 - Series: infinite sums
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9 - Differentiation and completeness: Mean Value Theorems, Taylor's Theorem
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Preface to first edition
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14 - The Riemann–Stieltjes Integral
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9 - Category
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13 - Functions of Bounded Variation
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