A beginning graduate level treatment of elliptic functions with a huge array of examples, first published in 2006.
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J. V. Armitage is an Honorary Senior Fellow in Mathematical Sciences at the University of Durham.
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Artikel-Nr. 9780521780780
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Zustand: New. A beginning graduate level treatment of elliptic functions with a huge array of examples, first published in 2006. Series Editor(s): Bruce, J. Series: London Mathematical Society Student Texts. Num Pages: 404 pages, 25 b/w illus. 5 tables. BIC Classification: PBKD; PBT. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 237 x 155 x 32. Weight in Grams: 788. . 2006. Illustrated. hardcover. . . . . Books ship from the US and Ireland. Artikel-Nr. V9780521780780
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