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Introduction to Analysis of the Infinite

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Introduction to Analysis of the Infinite
Springer New York

Table of Contents

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    Book Overview
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    Chapter 1 On Functions in General
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    Chapter 2 On the Transformation of Functions
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    Chapter 3 On the Transformation of Functions by Substitution
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    Chapter 4 On the Development of Functions in Infinite Series
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    Chapter 5 Concerning Functions of Two or More Variables
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    Chapter 6 On Exponentials and Logarithms
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    Chapter 7 Exponentials and Logarithms Expressed through Series
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    Chapter 8 On Transcendental Quantities Which Arise from the Circle
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    Chapter 9 On Trinomial Factors
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    Chapter 10 On the Use of the Discovered Factors to Sum Infinite Series
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    Chapter 11 On Other Infinite Expressions for Arcs and Sines
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    Chapter 12 On the Development of Real Rational Functions
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    Chapter 13 On Recurrent Series
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    Chapter 14 On the Multiplication and Division of Angles
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    Chapter 15 On Series Which Arise From Products
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    Chapter 16 On the Partition of Numbers
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    Chapter 17 Using Recurrent Series to Find Roots of Equations
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    Chapter 18 On Continued Fractions
Attention for Chapter 7: Exponentials and Logarithms Expressed through Series
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