Arithmetik, Algebra (24 Artikel)

1 Matrizen.- 1. Matrizenkalkül.- 2. Zeilenreduktion.- 3. Determinanten.- 4. Permutationsmatrizen.- 5. Cramersche Regel.- Aufgaben.- 2 Gruppen.- 1. Die Definition einer Gruppe.- 2. Untergruppen.- 3....

Übersicht.- Übungsaufgaben.- Gruppe A. Vorübungen.- Gruppe B. Grundgesetze des Addierens, Multiplizierens und Potenzierens.- Gruppe C. Die drei Grundoperationen.- Gruppe D. Die drei Grundoperatione...

Around and Beyond the Square of Opposition

Special operations on Boolean algebras.- Special classes of Boolean algebras.- Cellularity.- Depth.- Topological density.- ?-weight.- Length.- Irredundance.- Cardinality.- Independence.- ?-Characte...

Completeness is one of the most important notions in logic and the foundations of mathematics. Many variants of the notion have been de?ned in literature. We shallconcentrateonthesevariants,andaspe...

e generally, an important problem in algebraic geometry is to characterize the moduli spaces, by computing not only their volumes, but also other characteristic numbers called intersection numbers....

In 20 years, tremendous progress has been made in Lattice Theory. Nevertheless, the change is in the superstructure not in the foundation. Accordingly, I decided to leave the book unchanged and add...

This book is intended for the Mathematical Olympiad students who wish to prepare for the study of inequalities, a topic now of frequent use at various levels of mathematical competitions. In this v...

Institution-independent Model Theory

Was Kombinatorik ist, weiß so recht niemand zu sagen, wie die vielen Beschreibungsversuche zeigen. Daß der Inhalt dieses Bänd chens Kombinatorik ist, wird der Leser jedoch nicht abstreiten. Da ich ...

An Introduction to Modal Logics via Tableaux

This book gives an exposition of the fundamentals of the theory of linear representations of ?nite and compact groups, as well as elements of the t- ory of linear representations of Lie groups. As ...

Matrizen, Geometrie, Lineare Algebra

Stable reduction of modular curves.- On p-adic families of automorphic forms.- ?-curves and abelian varieties of GL2-type from dihedral genus 2 curves.- The old subvariety of J0(NM).- Irreducibilit...

It is well known that a wealth of problems of different nature, applied as well as purely theoretic, can be reduced to the study of elliptic equations and their eigen-values. During the years many ...