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Representations and Cohomology: Volume 2, Cohomology of Groups and Modules
A further introduction to modern developments in the representation theory of finite groups and associative algebras.
Soliton Equations and Their Algebro-Geometric Solutions: Volume 2, (1+1)-Dimensional Discrete Models
As a partner to Volume 1: Dimensional Continuous Models, this monograph provides a self-contained introduction to algebro-geometric solutions of completely integrable, nonlinear, …
Sets of Finite Perimeter and Geometric Variational Problems
The marriage of analytic power to geometric intuition drives many of today's mathematical advances, yet books that build the connection from an elementary level remain scarce. This …
Representations of Groups
The representation theory of finite groups has seen rapid growth in recent years with the development of efficient algorithms and computer algebra systems. This is the first book …
A User's Guide to Spectral Sequences
Spectral sequences are among the most elegant, most powerful, and most complicated methods of computation in mathematics. This book describes some of the most important examples of …
Period Mappings and Period Domains
This up-to-date introduction to Griffiths' theory of period maps and period domains focusses on algebraic, group-theoretic and differential geometric aspects. Starting with an …
Homological Methods in Banach Space Theory
Many researchers in geometric functional analysis are unaware of algebraic aspects of the subject and the advances they have permitted in the last half century. This book, written …
Positive Harmonic Functions and Diffusion
In this book, Professor Pinsky gives a self-contained account of the theory of positive harmonic functions for second order elliptic operators, using an integrated probabilistic …
Character Theory and the McKay Conjecture
The McKay conjecture is the origin of the counting conjectures in the representation theory of finite groups. This book gives a comprehensive introduction to these conjectures, …
Ultrametric Calculus
This is an introduction to p-adic analysis, displaying the variety of applications of the subject.
Nonlinear Analysis and Semilinear Elliptic Problems
Many problems in science and engineering are described by nonlinear differential equations, which can be notoriously difficult to solve. Through the interplay of topological and …
Rational and Nearly Rational Varieties
The most basic algebraic varieties are the projective spaces, and rational varieties are their closest relatives. In many applications where algebraic varieties appear in …