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Elliptic Functions by J. V. Armitage
Book DescriptionIn 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.
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Book DetailsISBN: 9780521785631
(228mm x 152mm x 23mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 28-Sep-2006
Country of Publication: United Kingdom
Books By Author J. V. Armitage
Elliptic Functions, Hardback (September 2006)
A beginning graduate level treatment of elliptic functions with a huge array of examples, first published in 2006.
Journees Arithmetiques 1980, Paperback (September 1982)» View all books by J. V. Armitage
Covers all branches of number theory.
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Author Biography - J. V. Armitage
J. V. Armitage is an Honorary Senior Fellow in Mathematical Sciences at the University of Durham.
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