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Introduction to analysis of the infinite

Auteur : Leonhard Euler
Éditeur : New York : Springer-Verlag, ©1988-©1990.
Édition/format :   Livre : AnglaisVoir toutes les éditions et tous les formats
Base de données :WorldCat
Résumé :

Focuses on matters concerning pure analysis. This book treats the transformation of functions and functions as the sum of infinite series.

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Détails

Genre/forme : Early works
Early works to 1800
Type d’ouvrage : Ressource Internet
Format : Livre, Ressource Internet
Tous les auteurs / collaborateurs : Leonhard Euler
ISBN : 0387968245 9780387968247 0387971327 9780387971322
Numéro OCLC : 18225219
Notes : Translation of: Introductio in analysin infinitorum.
Description : 2 volumes : illustrations ; 24 cm
Contenu : v. 1-327p., v. 2-504p. Bk. I. On functions in general --
On the transformation of functions --
On the transformation of functions by substitution --
On the development of functions in infinite series --
Concerning functions of two or more variables --
On exponentials and logarithms --
Exponentials and logarithms expressed through series --
On transcendental quantities which arise for the circle --
On trinomial factors --
On the use of the discovered factors to sum infinite series --
On other infinite expressions for arcs and sines --
On the development of real rational functions --
On recurrent series --
On the multiplication and division of angles --
On series which arise from products --
On the partition of numbers --
Using recurrent series to find roots of equations --
On continued fractions --
Bk. II. On curves in general ---
On the change of coordinates --
On the classification of algebraic curves by orders --
On the special properties of lines of any order --
One the second order lines --
On the subdivision of second order lines into genera --
On the investigation of branches which go to infinity --
Concerning asymptotes --
On the species of third order lines --
On the principal properties of third order lines --
On fourth order lines --
On the investigation of the configuration of curves --
On the disposition of curves --
On the curvature of a curve --
Concerning curves with one or several diameters --
On finding curves from the properties of the ordinate --
On finding curves from other properties --
On the similarities and affinities of curves --
On the intersection of curves --
On the construction of equations --
On transcendental curves --
On the solution to several problems pertaining to the circle --
Appendix: I. On the surfaces of solids --
II. On the intersection of a surface and an arbitrary plane --
III. On sections of cylinders, cones, and spheres --
IV> On the change of coordinates --
V. On second order surfaces --
VI. On the intersection of two surfaces.
Autres titres : Introductio in analysin infinitorum.
Responsabilité : Euler ; translated by John D. Blanton.
Plus d’informations :

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