Elliptic Functions

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

出版者:Cambridge University Press
作者:Armitage, J. V./ Eberlein, W. F.
出品人:
页数:404
译者:
出版时间:2006-5
价格:$ 166.11
装帧:HRD
isbn号码:9780521780780
丛书系列:London Mathematical Society Student Texts
图书标签:
  • Functions, 
  • Elliptic 
  • Cambridge 
  •  
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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.

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