"Ueber Riemann's Theorie der Algebraischen Functionen" von Felix Klein. Veröffentlicht von Good Press. Good Press ist Herausgeber einer breiten Büchervielfalt mit Titeln jeden Genres. Von bekannten Klassikern, Belletristik und Sachbüchern bis hin zu in Vergessenheit geratenen bzw. noch unentdeckten Werken der grenzüberschreitenden Literatur, bringen wir Bücher heraus, die man gelesen haben muss. Jede eBook-Ausgabe von Good Press wurde sorgfältig...

A great researcher, writer, and teacher in an era of tremendous mathematical ferment, Felix Klein (1849–1925) occupies a prominent place in the history of mathematics. His many talents included an ability to express complicated mathematical ideas directly and comprehensively, and this book, a consideration of the investigations in the first part of Riemann's Theory of Abelian Functions, is a prime example of his expository powers. The treatment...

This comprehensive three-part treatment begins with a consideration of the simplest geometric manifolds: line-segment, area, and volume as relative magnitudes; the Grassmann determinant principle for the plane and the Grassmann principle for space; classification of the elementary configurations of space according to their behavior under transformation of rectangular coordinates; and derivative manifolds. The second section, on geometric transformations,...