Synopsis
Preface.- 1 The Real Numbers.- 2 Famous Inequalities.- 3 Continuous Functions.- 4 Differentiable Functions.- 5 The Mean Value Theorem.- 6 The Exponential Function.- 7 Other Mean Value Theorems.- 8 Convex Functions and Taylor's Theorem.- 9 Integration of Continuous Functions.- 10 The Fundamental Theorem of Calculus.- 11 Techniques of Integration.- 12 Classic Examples.- 13 Simple Quadrature Rules.- 14 Error Terms.- A The Proof of Theorem 9.1.- Index.
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