Introduction to Analysis of the Infinite: Book II / Edition 1

Introduction to Analysis of the Infinite: Book II / Edition 1

by Leonard Euler
     
 

ISBN-10: 0387971327

ISBN-13: 9780387971322

Pub. Date: 11/13/1989

Publisher: Springer New York

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

Overview

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..."

Product Details

ISBN-13:
9780387971322
Publisher:
Springer New York
Publication date:
11/13/1989
Edition description:
1990
Pages:
504
Product dimensions:
6.10(w) x 9.25(h) x 0.36(d)

Table of Contents

Book II.- I On Curves in General.- II On the Change of Coordinates.- III On the Classification of Algebraic Curves by Orders.- IV On the Special Properties of Lines of Any Order.- V On the Second Order Lines.- VI On the Subdivision of Second Order Lines into Genera.- VII On the Investigation of Branches Which Go to Infinity.- VIII Concerning Asymptotes.- IX On the Species of Third Order Lines.- X On the Principal Properties of Third Order Lines.- XI On Fourth Order Lines.- XII On the Investigation of the Configuration of Curves.- XIII On the Disposition of Curves.- XIV On the Curvature of a Curve.- XV Concerning Curves with One or Several Diameters.- XVI On Finding Curves from the Properites of the Ordinate.- XVII On Finding Curves from Other Properties.- XVIII On the Similarities and Affinities of Curves.- XIX On the Intersection of Curves.- XX On the Construction of Equations.- XXI On Transcendental Curves.- XXII On the Solution to Several Problems Pertaining to the Circle.- I On the Surfaces of Solids.- II On the Intersection of a Surface and an Arbitrary Plane.- III On Sections of Cylinders, Cones, and Spheres.- IV On the Change of Coordinates.- V On Second Order Surfaces.- VI On the Intersection of Two Surfaces.- Figures.

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