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Elliptic Functions

Name: Elliptic Functions
Brand: Cambridge University Press
SKU: 02042968
Price: 91236 HUF
Availability: InStock
Author: J. V. ArmitageW. F. Eberlein
ISBN: 9780521780780

J. V. ArmitageW. F. Eberlein

Language

English

Book Hardback

Libristo code: 02042968

Publishers Cambridge University Press, September 2006

In its first six chapters this 2006 text seeks to present the basic ideas and properties of the Jaco... Full description

Libristo code: 02042968

623 b

91 236 Ft

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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.