Introduction to Analysis of the Infinite Book I 1st edition by Leonhard Euler – Ebook PDF Instant Download/Delivery: 1461269881, 978-1461269885
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Product details:
ISBN 10: 1461269881
ISBN 13: 978-1461269885
Author: Leonhard Euler
From the preface of the author: “…I have divided this work into two books; in the first of these I have confined myself to those matters concerning pure analysis. In the second book I have explained those thing which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. In the first book, since all of analysis is concerned with variable quantities and functions of such variables, I have given full treatment to functions. I have also treated the transformation of functions and functions as the sum of infinite series. In addition I have developed functions in infinite series…”
Introduction to Analysis of the Infinite Book I 1st Table of contents:
1 On Functions in General
2 On the Transformation of Functions
3 On the Transformation of Functions by Substitution
4 On the Development of Functions in Infinite Series
5 Concerning Functions of Two or More Variables
6 On Exponentials and Logarithms
7 xponentials and Logarithms Expressed through Series
8 On Transcendental Quantities Which Arise from the Circle
9 On Trinomial Factors
10 On the Use of the Discovered Factors to Sum Infinite Series
11 On Other Infinite Expressions for Arcs and Sines
12 On the Development of Real Rational Functions
13 On Recurrent Series
14 On the Multiplication and Division of Angles
15 On Series Which Arise From Products
16 On the Partition of Numbers
17 Using Recurrent Series to Find Roots of Equations
18 On Continued Fractions
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Tags: Leonhard Euler, the Infinite, Introduction to Analysis