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Introduction to analysis of the infinite / Euler ; translated by John D. Blanton.

By: Contributor(s): Material type: TextTextPublication details: New York : Springer-Verlag, c1988.Description: volumes : ill. ; 24 cmISBN:
  • 9780387968247 (v. 1 : alk. paper)
Subject(s): DDC classification:
  • 515.243 23 Eu88
Contents:
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 --
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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Holdings
Item type Current library Call number Status Date due Barcode Item holds
Books ISI Library, Kolkata 515.243 Eu88 (Browse shelf(Opens below)) Available 136265
Total holds: 0

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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