Die Theorie Riemannscher Flächen stellt der Autor als einen Mikrokosmos der Reinen Mathematik dar, in dem Methoden der Topologie und Geometrie, der komplexen und reellen research sowie der Algebra zusammenwirken. Viele Beispiele und Bilder, die in der historischen Entwicklung eine Rolle spielten, ergänzen die Darstellung. Die 2. Auflage wurde um eine genauere Betrachtung des Kleinschen 14-Ecks, ein Kapitel über die de Rhamsche Cohomologie und einen Abschnitt über die Lösung nicht-linearer Gleichungen der mathematischen Physik ergänzt.

Best Algebraic Geometry books

A Concise Course in Algebraic Topology (Chicago Lectures in Mathematics Series)

Algebraic topology is a uncomplicated a part of glossy arithmetic, and a few wisdom of this sector is vital for any complicated paintings when it comes to geometry, together with topology itself, differential geometry, algebraic geometry, and Lie teams. This booklet offers an in depth remedy of algebraic topology either for lecturers of the topic and for complex graduate scholars in arithmetic both focusing on this sector or carrying on with directly to different fields.

The Geometry of Syzygies: A Second Course in Algebraic Geometry and Commutative Algebra (Graduate Texts in Mathematics)

First textbook-level account of easy examples and strategies during this sector. appropriate for self-study via a reader who is familiar with a bit commutative algebra and algebraic geometry already. David Eisenbud is a well known mathematician and present president of the yank Mathematical Society, in addition to a winning Springer writer.

The Geometry of Schemes (Graduate Texts in Mathematics)

Grothendieck’s appealing conception of schemes permeates sleek algebraic geometry and underlies its purposes to quantity concept, physics, and utilized arithmetic. this easy account of that concept emphasizes and explains the common geometric suggestions in the back of the definitions. within the booklet, strategies are illustrated with primary examples, and particular calculations exhibit how the buildings of scheme thought are performed in perform.

Geometric Algebra

This vintage textual content, written by way of one of many ideal mathematicians of the 20 th century, is now to be had in a inexpensive paperback version. Exposition is headquartered at the foundations of affine geometry, the geometry of quadratic kinds, and the constitution of the overall linear crew. Context is broadened by means of the inclusion of projective and symplectic geometry and the constitution of symplectic and orthogonal teams.

Extra resources for Riemannsche Flächen (Springer-Lehrbuch) (German Edition)

Show sample text content

Rated 4.45 of 5 – based on 20 votes