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Elliptic Functions (London Mathematical Society Student Texts, Series Number 67) - Softcover

 
9780521785631: Elliptic Functions (London Mathematical Society Student Texts, Series Number 67)

Synopsis

In its first six chapters, this text presents the basic ideas and properties of the Jacobi elliptic functions as a historical essay. 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 the reader is introduced to the richly varied applications of the elliptic and related functions.

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Book Description

The opening chapters of 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?' Later chapters present a more conventional approach to the Weierstrass functions and elliptic integrals, and then the reader is introduced to the richly varied applications of the elliptic and related functions. Applications spanning arithmetic, dynamics, and probability and statistics, are discussed.

About the Author

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

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  • PublisherCambridge University Press
  • Publication date2006
  • ISBN 10 0521785634
  • ISBN 13 9780521785631
  • BindingPaperback
  • LanguageEnglish
  • Edition number1
  • Number of pages402

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