Introduction to analysis of the infinite / Euler ; translated by John D. Blanton.
Material type: TextPublication details: New York : Springer-Verlag, c1988.Description: volumes : ill. ; 24 cmISBN:- 9780387968247 (v. 1 : alk. paper)
- 515.243 23 Eu88
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Books | ISI Library, Kolkata | 515.243 Eu88 (Browse shelf(Opens below)) | Available | 136265 |
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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 --
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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