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Author
Armitage, J., author.
Title
Elliptic Functions [electronic resource] / Armitage, J..
Publication Info
Cambridge University Press, 2006.
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Phys. Description1 online resource (404 pages)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file
47.00
SummaryIn 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.
ReproductionElectronic reproduction. Boston, MA : Safari, Available via World Wide Web. 2006.
System DetMode of access: World Wide Web.
NoteCopyright © 2006 Cambridge University Press 2006
Issued ByMade available through: Safari, an O'Reilly Media Company.
NoteOnline resource; Title from title page (viewed September 28, 2006)
GenreElectronic books. local
Alt AuthorEberlein, W., author.
Safari, an O'Reilly Media Company.
ISBN9781107263970
9780521780780
Isbn/Issn9781107263970
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