Bøker av Leonhard Euler

Als Beispiel sei die gravitative Wirkung der Venus auf die Erdbahn erwahnt.Von grosser praktischer Bedeutung, insbesondere fur die Navigation auf See, war die Untersuchung des Einflusses der Sonne auf die Mondbewegung.

This volume contains Euler's early astronomical tables and his "First theory of the moon" of 1753.

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.

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.