Introduction to Analysis of the Infinite Book I
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...
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| Format: | eBook |
| Language: | English |
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New York, NY
Springer New York
1988, 1988
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| Edition: | 1st ed. 1988 |
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| Online Access: | |
| Collection: | Springer Book Archives -2004 - Collection details see MPG.ReNa |
Table of Contents:
- 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 from 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