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## Introduction to Analysis of the Infinite, Book I (Hardback)"...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 things which must be known from geometry, since analysis is ordinarily developed in such a way that its application to geometry is shown. ... [I]n 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..." — From the Preface by the Author, Leonhard Euler ## $89.95 |

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Please contact us if you've got questions about this product.## Condition

**VERY GOOD:** This book is in very good condition, showing only slight signs of use and wear. It was printed on acid-free paper.

## Description

This is Book I of Leonhard Euler’s *Introductio in Analysin Infinitorum*, which has been translated from the Latin by J.D. Blanton. Euler has been called “the master of us all” (attributed to Pierre-Simon Laplace) and was a pioneer in mathematics and physics. He was born 15 April 1707 in Basel, Switzerland, and died 18 September 1783 (at the age of 76) in Saint Petersburg, Russian Empire.

From the title page: “*Introduction to Analysis of the Infinite, Book I*, containing an explanation of functions of variable quantities; the resolution of functions into factors and their development in infinite series; together with the theory of logarithms, circular arcs, and their sines and tangents, also many other things which are no little aid in the study of analysis.”

**Chapters**

- On Functions in General
- On the Transformation of Functions
- On the Transformation of Functions by Substitution
- On the Development of Functions in Infinite Series
- Concerning Functions of Two or More Variables
- On Exponentials and Logarithms
- Exponentials and Logarithms Expressed through Series
- On Transcendental Quantities Which Arise from the Circle
- On Trinomial Factors
- On the Use of the Discovered Factors to Sum Infinite Series
- On Other Infinite Expressions for Arcs and Sines
- On the Development of Real Rational Functions
- On Recurrent Series
- On the Multiplication of Division of Angles
- On Series Which Arise from Products
- On the Partition of Numbers
- Using Recurrent Series to Find Roots of Equations
- On Continued Fractions

## Details

- SKU:
- 2664
- Author:
- Euler, Leonhard (translated by J.D. Blanton)
- Publisher:
- Springer-Verlag
- Publish Date:
- 1988 (First Printing)
- Format:
- Hardback
- Weight (pounds):
- 1.37
- Dimensions (W”xL”xH”):
- 6.5″x9.5″x0.95″
- ISBN-13:
- 9780387968247
- ISBN-10:
- 0387968245

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