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Introduction to Analysis of the Infinite: Book I by Leonhard Euler: New - Picture 1 of 1

Introduction to Analysis of the Infinite by Leonhard Euler (1988, Hardcover)

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About this product

Product Identifiers

PublisherSpringer New York

ISBN-100387968245

ISBN-139780387968247

eBay Product ID (ePID)639574

Product Key Features

Number of PagesXv, 327 Pages

Publication NameIntroduction to Analysis of the Infinite

LanguageEnglish

SubjectMathematical Analysis

Publication Year1988

TypeTextbook

AuthorLeonhard Euler

Subject AreaMathematics

FormatHardcover

Dimensions

Item Weight51.9 Oz

Item Length9.3 in

Item Width6.1 in

Additional Product Features

Intended AudienceScholarly & Professional

LCCN88-018475

Number of Volumes1 vol.

IllustratedYes

Volume NumberBk. 1

Table Of ContentI. 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.

SynopsisFrom 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..."

LC Classification NumberQA331.5