Elliptic Functions
Language: English
Published by Cambridge University Press, GB, 2006
Series: Book 52 of 83 - London Mathematical Society Student Texts
- Hardcover
- New
Seller: Rarewaves.com UK, London, United KingdomRarewaves.com UK
AbeBooks seller since June 11, 2025
Condition: New
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In its first six chapters this 2006 text seeks to present the basic ideas and properties of the Jacobi elliptic functions as an historical essay, an attempt to answer the fascinating question: 'what would the treatment of elliptic functions have been like if Abel had developed the ideas, rather than Jacobi?' Accordingly, it is based on the idea of inverting integrals which arise in the theory of differential equations and, in particular, the differential equation that describes the motion of a simple pendulum. The later chapters present a more conventional approach to the Weierstrass functions and to elliptic integrals, and then the reader is introduced to the richly varied applications of the elliptic and related functions. Applications spanning arithmetic (solution of the general quintic, the functional equation of the Riemann zeta function), dynamics (orbits, Euler's equations, Green's functions), and also probability and statistics, are discussed.
Seller Inventory # LU-9780521780780
- Title
- Elliptic Functions
- Author
- J. V. Armitage, W. F. Eberlein
- Publisher
- Cambridge University Press, GB
- Publication year
- 2006
- Condition
- New
- Binding
- Hardback
- Language
- English
- ISBN 10
- 0521780780
- ISBN 13
- 9780521780780
- Item weight
- 674 grams
- Series
- Book 52 of 83: London Mathematical Society Student Texts
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