Numbers and Functions : Steps into Analysis

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Numbers and Functions : Steps into Analysis

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  • 製本 Hardcover:ハードカバー版
  • 言語 ENG,ENG
  • 商品コード 9780521410861
  • DDC分類 515.7

Table of Contents

Introduction
Part I. Numbers: 1. Counting numbers and
mathematical induction
2. Order, arithmetic with inequalities
3. Sequences, a first bite at infinity
4. Completeness, what the rational numbers lack
5. Series, infinite sums
Part II. Functions: 6. Functions and
continuity: neighbourhoods, limits of functions
7. Continuity and completeness, functions on
intervals
8. Derivatives, tangents
9. Differentiation and completeness: mean value
theorems
10. Integration: the fundamental theorems,
Taylor's theorem
11. Indices and circle functions
12. Sequences of functions.