Elliptic Functions

Nonfiction, Science & Nature, Mathematics, Combinatorics, Number Theory
Cover of the book Elliptic Functions by J. V. Armitage, W. F. Eberlein, Cambridge University Press
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: J. V. Armitage, W. F. Eberlein ISBN: 9781107263970
Publisher: Cambridge University Press Publication: September 28, 2006
Imprint: Cambridge University Press Language: English
Author: J. V. Armitage, W. F. Eberlein
ISBN: 9781107263970
Publisher: Cambridge University Press
Publication: September 28, 2006
Imprint: Cambridge University Press
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Cambridge University Press

Cover of the book Justice and Reconciliation in World Politics by J. V. Armitage, W. F. Eberlein
Cover of the book The Cambridge Companion to Bruckner by J. V. Armitage, W. F. Eberlein
Cover of the book Ecosystem Ecology by J. V. Armitage, W. F. Eberlein
Cover of the book Modern Administrative Law in Australia by J. V. Armitage, W. F. Eberlein
Cover of the book Classical Mechanics by J. V. Armitage, W. F. Eberlein
Cover of the book Quaternary Environmental Change in Southern Africa by J. V. Armitage, W. F. Eberlein
Cover of the book Scandal of Colonial Rule by J. V. Armitage, W. F. Eberlein
Cover of the book Intra-Abdominal Hypertension by J. V. Armitage, W. F. Eberlein
Cover of the book Global Warming Gridlock by J. V. Armitage, W. F. Eberlein
Cover of the book Power and Interdependence in Organizations by J. V. Armitage, W. F. Eberlein
Cover of the book The Lost German East by J. V. Armitage, W. F. Eberlein
Cover of the book Towards a Cultural Politics of Climate Change by J. V. Armitage, W. F. Eberlein
Cover of the book Spectres of the Self by J. V. Armitage, W. F. Eberlein
Cover of the book Rethinking the Buddha by J. V. Armitage, W. F. Eberlein
Cover of the book Party Brands in Crisis by J. V. Armitage, W. F. Eberlein
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy