TY  - BOOK
AU  - Euler
AU  - Blanton,John D.
TI  - Introduction to analysis of the infinite
SN  - 9780387968247 (v. 1 : alk. paper)
U1  - 515.243 23
PY  - 1988///
CY  - New York
PB  - Springer-Verlag
KW  - Infinite Series
KW  - Infinite Products
KW  - Continued fractions
N1  - Translation of: Introductio in analysin infinitorum; Book. I:
I. On functions in general --
II. On the transformation of functions --
III. On the transformation of functions by substitution --
IV. On the development of functions in infinite series --
V. Concerning functions of two or more variables --
VI. On exponentials and logarithms --
VII. Exponentials and logarithms expressed through series --
VIII. On transcendental quantities which arise for the circle --
IX. On trinomial factors --
X. On the use of the discovered factors to sum infinite series --
XI. On other infinite expressions for arcs and sines --
XII. On the development of real rational functions --
XIII. On recurrent series --
XIV. On the multiplication and division of angles --
XV. On series which arise from products --
XVI. On the partition of numbers --
XVII. Using recurrent series to find roots of equations --
XVIII. On continued fractions --
N2  - Focuses on matters concerning pure analysis. This book treats the transformation of functions and functions as the sum of infinite series
ER  -