Elliptic Functions by W Eberlein

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Elliptic Functions by W Eberlein

Regular price $45.92
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Regular price $45.92
Condition - Good
1 In stock

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Summary

This 2006 treatment of Jacobi elliptic functions seeks to answer the fascinating question: 'what would the treatment of elliptic functions have been like if Abel had developed the ideas, rather than Jacobi?' A rich variety of applications of the elliptic and related functions are also presented.

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Elliptic Functions by W Eberlein

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.
'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
J. V. Armitage is an Honorary Senior Fellow in Mathematical Sciences at the University of Durham.
SKU CIN0521785634G
ISBN 13 9780521785631
ISBN 10 0521785634
Title Elliptic Functions
Author W Eberlein
Series London Mathematical Society Student Texts
Condition Good
Binding Type Paperback
Publisher Cambridge University Press
Year published 2006-09-28
Number of pages 402
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note This is a used book - there is no escaping the fact it has been read by someone else and it will show signs of wear and previous use. Overall we expect it to be in good condition, but if you are not entirely satisfied please get in touch with us