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Introduction to analysis of the infinite

Author: Leonhard Euler
Publisher: New York : Springer-Verlag, ©1988-©1990.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:

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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Genre/Form: Early works
Early works to 1800
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Leonhard Euler
ISBN: 0387968245 9780387968247 0387971327 9780387971322
OCLC Number: 18225219
Notes: Translation of: Introductio in analysin infinitorum.
Description: 2 v. : ill. ; 24 cm.
Contents: Contents: 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.
Other Titles: Introductio in analysin infinitorum.
Responsibility: Euler ; translated by John D. Blanton.
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