Presents an introduction to smooth ergodic theory. This work discusses topics including the general (abstract) theory of Lyapunov exponents and its... Læs mere
The renormalization group is the name given to a technique for analyzing the qualitative behavior of a class of physical systems by iterating... Læs mere
Presents a brief introduction to category theory and homological algebra. This work then gives the background of the theory of differential modules and chain complexes over an abelian... Læs mere
Demonstrates the important role mathematics plays in the study of some... Læs mere
The theory of graph coloring has existed for more than 150 years. This book states that in the case of hypergraphs, there exist problems on... Læs mere
Explains the basic concepts of prehomogeneous vector spaces, the fundamental theorem, the zeta functions associated with prehomogeneous vector spaces, and a classification theory of irreducible prehomogeneous vector spaces.
In the late summer of 1893, following the Congress of Mathematicians held in Chicago, the author gave two weeks of lectures on the state of mathematics. Rather than offering a... Læs mere
Developments in geometric measure theory and harmonic analysis have led to fresh results concerning the regularity of the support of measures which... Læs mere
Focuses on the analysis of eigenvalues and eigenfunctions that describe singularities of solutions to elliptic boundary value problems in domains with corners and edges. This work treats both classical problems of mathematical physics and general elliptic boundary value problems.
Constraint programming has become an important general approach for... Læs mere
Model theory has had remarkable success in solving important problems as well as in shedding new light on our understanding of them. This title collects lectures that... Læs mere
Gives an understandable account of the famous problems of Geometry - The Duplication of the Cube, Trisection of the Angle, Squaring of the Circle - and the proofs... Læs mere