Book contents
- Frontmatter
- Contents
- Preface to first edition
- Preface to second edition
- Glossary
- PART I NUMBERS
- 1 Mathematical induction
- 2 Inequalities
- 3 Sequences: a first bite at infinity
- 4 Completeness: what the rational numbers lack
- 5 Series: infinite sums
- PART II FUNCTIONS
- Appendix 1 Properties of the real numbers
- Appendix 2 Geometry and intuition
- Appendix 3 Questions for student investigation and discussion
- Bibliography
- Index
5 - Series: infinite sums
Published online by Cambridge University Press: 06 July 2010
- Frontmatter
- Contents
- Preface to first edition
- Preface to second edition
- Glossary
- PART I NUMBERS
- 1 Mathematical induction
- 2 Inequalities
- 3 Sequences: a first bite at infinity
- 4 Completeness: what the rational numbers lack
- 5 Series: infinite sums
- PART II FUNCTIONS
- Appendix 1 Properties of the real numbers
- Appendix 2 Geometry and intuition
- Appendix 3 Questions for student investigation and discussion
- Bibliography
- Index
Summary
- Type
- Chapter
- Information
- Numbers and FunctionsSteps into Analysis, pp. 104 - 140Publisher: Cambridge University PressPrint publication year: 2000