Book contents
- Frontmatter
- Contents
- Preface
- Original partial preface
- Acknowledgements
- 1 The ‘simple’ pendulum
- 2 Jacobian elliptic functions of a complex variable
- 3 General properties of elliptic functions
- 4 Theta functions
- 5 The Jacobian elliptic functions for complex k
- 6 Introduction to transformation theory
- 7 The Weierstrass elliptic functions
- 8 Elliptic integrals
- 9 Applications of elliptic functions in geometry
- 10 An application of elliptic functions in algebra – solution of the general quintic equation
- 11 An arithmetic application of elliptic functions: the representation of a positive integer as a sum of three squares
- 12 Applications in mechanics, statistics and other topics
- Appendix
- References
- Further reading
- Index
1 - The ‘simple’ pendulum
Published online by Cambridge University Press: 18 December 2009
- Frontmatter
- Contents
- Preface
- Original partial preface
- Acknowledgements
- 1 The ‘simple’ pendulum
- 2 Jacobian elliptic functions of a complex variable
- 3 General properties of elliptic functions
- 4 Theta functions
- 5 The Jacobian elliptic functions for complex k
- 6 Introduction to transformation theory
- 7 The Weierstrass elliptic functions
- 8 Elliptic integrals
- 9 Applications of elliptic functions in geometry
- 10 An application of elliptic functions in algebra – solution of the general quintic equation
- 11 An arithmetic application of elliptic functions: the representation of a positive integer as a sum of three squares
- 12 Applications in mechanics, statistics and other topics
- Appendix
- References
- Further reading
- Index
Summary
- Type
- Chapter
- Information
- Elliptic Functions , pp. 1 - 24Publisher: Cambridge University PressPrint publication year: 2006
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