Elliptic Functions

J. V. Armitage (University of Durham), W. F. Eberlein, J. Bruce

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English

Cambridge University Press
28 September 2006

Complex analysis, complex variables; Probability & statistics

Series: London Mathematical Society Student Texts

In its first six chapters this 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.

By: J. V. Armitage (University of Durham), W. F. Eberlein
Series edited by: J. Bruce
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 67
Dimensions: Height: 235mm, Width: 157mm, Spine: 25mm
Weight: 674g
ISBN: 9780521780780
ISBN 10: 0521780780
Series: London Mathematical Society Student Texts
Pages: 404
Publication Date: 28 September 2006
Audience: College/higher education , Professional and scholarly , Primary , Undergraduate
Format: Hardback
Publisher's Status: Active

J. V. Armitage is an Honorary Senior Fellow in Mathematical Sciences at the University of Durham.

Reviews for Elliptic Functions

'This solid text is a good place to start when working with elliptic functions and it is the sort of book that you will keep coming back to as reference text.' Mathematics Today