In a very broad sense, 'spaces' are objects of study in geometry, and 'functions' are objects of study in analysis. There are, however, deep relations between functions... Læs mere
Low-dimensional topology has long been a fertile area for the interaction of many different disciplines of mathematics. The Park City Mathematics Institute summer school in 2006... Læs mere
Focusing on one of the major branches of probability theory, this book treats the large class of processes with continuous sample paths that possess the... Læs mere
Comprised of a number of independent research articles written by leading experts in the field Motives and Algebraic Cycles, this book is dedicated to Spencer J. Bloch. It gives a snapshot of the current and evolving nature of the subject.
Develops three related tools that are useful in the analysis of partial differential equations (PDEs), arising... Læs mere
A collection of articles that shows how idempotent analysis plays a unifying role in many branches of mathematics related to external phenomena and structures-a role similar to that... Læs mere
Presents a comprehensive exposition of the modern theory of valued and ordered fields. This title presents the classical aspects of such fields: their... Læs mere
Presents an introduction to the theory of vertex algebras with a particular emphasis on the relationship with the geometry of algebraic curves. This book contains... Læs mere
Modular forms appear in many ways in number theory. This book details various roles that modular forms and $q$-series play in number theory, such as applications and connections to... Læs mere
Studies torus actions on topological spaces presented as a bridge - connecting combinatorial and convex geometry with commutative and... Læs mere
Presents a study of problems related to the theory of infinite-dimensional dynamical systems. This work studies their properties for various... Læs mere
Discusses finite groups. This book describes the fundamental results on the representation theory for finite groups, the Bumside problem, extensions and cohomology of groups, and $p$-groups.