Gesammelte Mathematische Werke, Vol. 3 PDF

Jump to navigation Jump to search For the 16th-century humanist, gesammelte Mathematische Werke, Vol. 3 PDF Friedrich Dedekind. Dedekind’s father was Julius Levin Ulrich Dedekind, an administrator of Collegium Carolinum in Braunschweig.

Författare: Lazarus Fuchs.

As an adult, he never used the names Julius Wilhelm. He first attended the Collegium Carolinum in 1848 before transferring to the University of Göttingen in 1850. There, Dedekind was taught number theory by professor Moritz Stern. At that time, the University of Berlin, not Göttingen, was the main facility for mathematical research in Germany. 1862, Dedekind returned to his native Braunschweig, where he spent the rest of his life, teaching at the Institute. Dedekind’s theorem states that if there existed a one-to-one correspondence between two sets, then the two sets were „similar“. Although the book is assuredly based on Dirichlet’s lectures, and although Dedekind himself referred to the book throughout his life as Dirichlet’s, the book itself was entirely written by Dedekind, for the most part after Dirichlet’s death.

The 1879 and 1894 editions of the Vorlesungen included supplements introducing the notion of an ideal, fundamental to ring theory. The word „Ring“, introduced later by Hilbert, does not appear in Dedekind’s work. In 1888, he published a short monograph titled Was sind und was sollen die Zahlen? What are numbers and what are they good for?