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 Acts of the Apostles and the Rhetoric of Roman Imperialism by J. V. Armitage, W. F. Eberlein
Cover of the book Comparative Historical Analysis in the Social Sciences by J. V. Armitage, W. F. Eberlein
Cover of the book Expressions of Time in Ancient Greek by J. V. Armitage, W. F. Eberlein
Cover of the book Ottoman Women during World War I by J. V. Armitage, W. F. Eberlein
Cover of the book The Federal Reserve's Role in the Global Economy by J. V. Armitage, W. F. Eberlein
Cover of the book Rethinking Society for the 21st Century: Volume 1, Socio-Economic Transformations by J. V. Armitage, W. F. Eberlein
Cover of the book Graded Rings and Graded Grothendieck Groups by J. V. Armitage, W. F. Eberlein
Cover of the book The Changing Practices of International Law by J. V. Armitage, W. F. Eberlein
Cover of the book Leo Strauss and the Theologico-Political Problem by J. V. Armitage, W. F. Eberlein
Cover of the book How Modernity Forgets by J. V. Armitage, W. F. Eberlein
Cover of the book Socrates and Philosophy in the Dialogues of Plato by J. V. Armitage, W. F. Eberlein
Cover of the book Climate Change and Justice by J. V. Armitage, W. F. Eberlein
Cover of the book An Introduction to Confucianism by J. V. Armitage, W. F. Eberlein
Cover of the book Energy Technology Innovation by J. V. Armitage, W. F. Eberlein
Cover of the book The Measure of Homer 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