Jacobian Elliptic Functions Neville Funções Matemática Raro
Temos versões !
Jacobian Elliptic Functions - Integrals Jocobi Pendulum
- REF 54737153
Eric H Neville - Trigonometry
Ano: 1944
Editora: Clarendon Press Oxford
bom estado conservação, capa dura
original. Good Blue Cloth Boards. 1st edn. Tall 8vo. Original gilt
lettered blue cloth . Pp. xiii + 331. very good conditions;
The Neville
theta functions can be defined in terms of the theta functions as ...
The Jacobi elliptic functions can be represented as ratios of the
Neville theta functions. In mathematics, the Jacobi elliptic functions
are a set of basic elliptic functions, and auxiliary theta functions,
that have historical importance with also many features that show up
important structure, and have direct relevance to some applications
(e.g. the equation of the pendulum also see pendulum mathematics. They
also have useful analogies to the functions of trigonometry, as
indicated by the matching notation sn for sin. The Jacobi e....
The design of this treatise will now be intelligible. There are
three divisions of the subject, first the direct theory of functions
with simple poles derived from a Weierstrassian function whose periods
are arbi trary, then the theory of the inverted integral and the
solution of the problem of inversion, and lastly the fertile theory of
the classical system. To the writer the order of exposition is almost
inevitable, but the reader impatient to make the acquaintance of J
acobi's functions can pass to Chapter X from Chapter IV or even from
Chapter III, and he can return at any time to read Chapter VI, on the
connexion between integration and periodicity, as an independent chapter
and not necessarily as a stage in the inversion argument. Far from
being new to analysis, the three 'primitive' functions defined in
Chapter I have often been studied. Jordan in his Cows d'analyse and
Tannery and Molk in their Fonctions Elliptiques allow a few pages to
them and define the classical functions in terms of them; in papers on
Poncelet's poristic polygons, Chaundy and Baker* use the same three
functions, instead of relying explicitly, as does Halphen in the account
of this problem in the second volume of his treatise, on the
Weierstrassian functions (oz, The point to be emphasized is the
deliberate construction of the functions as functions with simple poles.
As algebraic functions of gm, important in the development of the
theory of @z itself, the functions go back to Weierstrass.
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