Elliptic Functions (London Mathematical Society Student - download pdf or read online

By J. V. Armitage,W. F. Eberlein

In its first six chapters this 2006 textual content seeks to provide the fundamental rules and homes of the Jacobi elliptic features as an old essay, an try and resolution the interesting query: 'what could the remedy of elliptic capabilities were like if Abel had built the information, instead of Jacobi?' as a result, it really is in line with the belief of inverting integrals which come up within the conception of differential equations and, specifically, the differential equation that describes the movement of an easy pendulum. The later chapters current a extra traditional method of the Weierstrass services and to elliptic integrals, after which the reader is brought to the richly various purposes of the elliptic and comparable features. functions spanning mathematics (solution of the overall quintic, the useful equation of the Riemann zeta function), dynamics (orbits, Euler's equations, Green's functions), and likewise likelihood and facts, are discussed.

Show description

Read Online or Download Elliptic Functions (London Mathematical Society Student Texts) PDF

Similar number theory books

Download e-book for kindle: Birational Geometry, Rational Curves, and Arithmetic (Simons by Fedor Bogomolov,Brendan Hassett,Yuri Tschinkel

​​​​This e-book good points fresh advancements in a swiftly becoming quarter on the interface of higher-dimensional birational geometry and mathematics geometry.  It makes a speciality of the geometry of areas of rational curves, with an emphasis on purposes to mathematics questions.  Classically, mathematics is the learn of rational or necessary options of diophantine equations and geometry is the examine of strains and conics.

Download e-book for iPad: Analytic Number Theory, Approximation Theory, and Special by Gradimir V. Milovanović,Michael Th. Rassias

This publication, in honor of Hari M. Srivastava, discusses crucial advancements in mathematical examine in quite a few difficulties. It comprises thirty-five articles, written through eminent scientists from the overseas mathematical group, together with either learn and survey works. matters lined comprise analytic quantity conception, combinatorics, exact sequences of numbers and polynomials, analytic inequalities and functions, approximation of capabilities and quadratures, orthogonality and distinctive and complicated features.

Download e-book for kindle: L-Functions and Arithmetic (London Mathematical Society by J. Coates,M. J. Taylor

This quantity is an outgrowth of the LMS Durham Symposium on L-functions, held in July 1989. The symposium consisted of a number of brief classes, aimed toward featuring rigorous yet non-technical expositions of the newest examine parts, and a couple of person lectures on particular themes. The members are all amazing figures within the region of algebraic quantity conception and this quantity could be of lasting worth to scholars and researchers operating within the quarter.

New PDF release: Quadratic Residues and Non-Residues: Selected Topics

This publication bargains an account of the classical conception of quadratic residues and non-residues with the objective of utilizing that concept as a lens during which to view the improvement of a few of the basic tools hired in smooth trouble-free, algebraic, and analytic quantity thought. the 1st 3 chapters current a few easy proof and the heritage of quadratic residues and non-residues and speak about a number of proofs of the legislation of Quadratic Reciprosity extensive, with an emphasis at the six proofs that Gauss released.

Additional info for Elliptic Functions (London Mathematical Society Student Texts)

Sample text

Download PDF sample

Elliptic Functions (London Mathematical Society Student Texts) by J. V. Armitage,W. F. Eberlein


by Jason
4.4

Rated 4.30 of 5 – based on 9 votes