Bøger af Leonhard Euler

This text contains transcripts of letters which Euler exchanged with Johann I Bernoulli and Niklaus I Bernoulli. The letters are fully translated and there are historico-scientific commentaries. Topics include analysis, differential equations, mechanics, hydromechanics, and others.

Eloge d'Euler par le Marquis de Condorcet

This volume contains Euler's contributions to the theory of the movement of the sun and especially of the moon. It includes papers pertaining to the preparation of his Astronomical Tables, a series of articles written between his two Theories of the Moon, and three essays related to the latter.

Neither of them achieved much in our subject, but their works serve as 2 termini: With GALILEO's Discorsi in 1638 our matter begins ) (for this is the history of mathematical theory), while LAGRANGE's Mechanique Analitique closed the mechanics of 1) There are three major historical works that bear on our subject.

The problem of the moon's orbit was one that Leonhard Euler (1707-83) returned to repeatedly throughout his life. It provided a testing ground for Newton's theory of gravitation. Could the motion of the moon be entirely accounted for by Newton's theory? Or, as Euler initially suspected, did other forces need to be invoked? For practical purposes, if the moon's orbit could be accurately predicted, its motion would provide the universal timekeeper required to solve the longitude problem. In addition to the mathematical 'three-body problem', a topic still under investigation today, Euler was faced with the statistical problem of reconciling observations rendered inconsistent by experimental error. The present work, published in Latin in 1753, is Euler's triumphant solution. It may not be the last word on a subject which has occupied mathematicians and astronomers for over three centuries, but it showed that Newton's laws were sufficient to explain lunar motion.

This three-volume German edition of the groundbreaking 1770 algebra textbook by the Swiss-born mathematician Leonard Euler (1707-1783) draws heavily upon additional material by Joseph-Louis Lagrange that appeared in an early French translation. Volume 2 contains material on algebraic equations and on analyses of indeterminate quantities.

Liber ""Introductio In Analysin Infinitoruin V1"" a Leonhardo Euler editus est, anno 1797. Hoc opus est introductio in analysim infinitam, quae est disciplina mathematica quae tractat infinitas quantitates et processus. Liber continet septem capitula, quae tractant de seriebus infinitis, functionibus, differentiis et integris, et alia. In hoc libro, Euler numerosas demonstrationes et problemata exhibet, quae sunt valde utiles ad discendum mathematicam. Opus est una ex principiis mathematicae modernae et est usque ad hodiernum diem valde utile ad studium mathematicae.This scarce antiquarian book is a facsimile reprint of the old original and may contain some imperfections such as library marks and notations. Because we believe this work is culturally important, we have made it available as part of our commitment for protecting, preserving, and promoting the world's literature in affordable, high quality, modern editions, that are true to their original work.

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.