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

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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..."
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Editorial Reviews

Booknews
A classic mathematical monograph by L. Euler (1748), which has previously been available to readers of French, German, and Russian, but is here (at the suggestion of Andre Weil) being made available to readers of English for the first time. To peruse these pages is to be introduced to the mental processes of a master, and to experience a pleasure as ever-fresh as Mozart. In the present instance even the typography adds to the pleasure. A treasure, which will be of enduring value on the shelves of mathematical libraries. (NW) Annotation c. Book News, Inc., Portland, OR (booknews.com)
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Product Details

  • ISBN-13: 9780387971322
  • Publisher: Springer New York
  • Publication date: 11/13/1989
  • Edition description: 1990
  • Edition number: 1
  • Pages: 504
  • Product dimensions: 1.19 (w) x 6.14 (h) x 9.21 (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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