Algebra

The theory and applications of C*-algebras are related to fields ranging from operator theory, group representations and quantum mechanics, to non-commutative geometry and dynamical systems.

Differential algebra explores properties of solutions to systems of (ordinary or partial, linear or nonlinear) differential equations from an algebraic point of view.

Noncommutative algebras, rings and other noncommutative objects, along with their more classical commutative counterparts, have become a key part of modern mathematics, physics and many other fields.

The theory of I -trees has its origin in the work of Lyndon on length functions in groups.

This book provides a comprehensive account of the theory of moduli spaces of elliptic curves (over integer rings) and its application to modular forms.

Fork algebras are a formalism based on the relational calculus, with interesting algebraic and metalogical properties.

This book provides a detailed description of a most important unsolved mathematical problem - the Goldbach conjecture.

In this book, ultrametric Banach algebras are studied with the help of topological considerations, properties from affinoid algebras, and circular filters which characterize absolute values on polynomials and make a nice tree structure.

This is the proceedings of the ICM2002 Satellite Conference on Algebras.

This book is the proceedings of the conference "e;Algebraic Geometry in East Asia"e; which was held in International Institute for Advanced Studies (IIAS) during August 3 to August 10, 2001.

This book contains the papers presented at the ICM2002 Satellite Conference on Nonlinear Evolution Equations and Dynamical Systems.

Over the past 20 years, the theory of groups - in particular simple groups, finite and algebraic - has influenced a number of diverse areas of mathematics.

A real matrix is positive semidefinite if it can be decomposed as A=BB'.

The theory of operator algebras is generally considered over the field of complex numbers and in the complex Hilbert spaces.

Algebraic combinatorics has evolved into one of the most active areas of mathematics during the last several decades.

The Hindu-Arabic numeral system (1, 2, 3,.

The Institute for Mathematical Sciences at the National University of Singapore hosted a research program on "e;Representation Theory of Lie Groups"e; from July 2002 to January 2003.

This book provides an exposition of function field arithmetic with emphasis on recent developments concerning Drinfeld modules, the arithmetic of special values of transcendental functions (such as zeta and gamma functions and their interpolations), diophantine approximation and related interesting open problems.

Written by the founders of the new and expanding field of numerical algebraic geometry, this is the first book that uses an algebraic-geometric approach to the numerical solution of polynomial systems and also the first one to treat numerical methods for finding positive dimensional solution sets.

The area of automorphic representations is a natural continuation of studies in the 19th and 20th centuries on number theory and modular forms.

The selected papers in this volume cover all the most important areas of ring theory and module theory such as classical ring theory, representation theory, the theory of quantum groups, the theory of Hopf algebras, the theory of Lie algebras and Abelian group theory.

The development of new computational techniques and better computing power has made it possible to attack some classical problems of algebraic geometry.

Surveying the most influential developments in the field, this proceedings reviews the latest research on algebras and their representations, commutative and non-commutative rings, modules, conformal algebras, and torsion theories.

This volume contains a valuable collection of articles presented at a conference on Automorphic Forms and Zeta Functions in memory of Tsuneo Arakawa, an eminent researcher in modular forms in several variables and zeta functions.

The area of automorphic representations is a natural continuation of studies in number theory and modular forms.

This book is a timely survey of much of the algebra developed during the last several centuries including its applications to algebraic geometry and its potential use in geometric modeling.

This festschrift volume in honour of Donald B McAlister on the occasion of his 65th birthday presents papers from leading researchers in semigroups and formal languages.

The demand for more reliable geometric computing in robotics, computer vision and graphics has revitalized many venerable algebraic subjects in mathematics - among them, Grassmann-Cayley algebra and Geometric Algebra.

This volume carries the same title as that of an international conference held at the National University of Singapore, 9-11 January 2006 on the occasion of Roger E.

This book exposes the internal structure of non-self-adjoint operators acting on complex separable infinite dimensional Hilbert space, by analyzing and studying the commutant of operators.

Written by world-renowned experts, the book is a collection of tutorial presentations and research papers catering to the latest advances in symbolic summation, factorization, symbolic-numeric linear algebra and linear functional equations.

This invaluable volume collects papers written by many of the world's top experts on L-functions.

This volume is a compilation of lectures on algebras and combinatorics presented at the Second International Congress in Algebra and Combinatorics.

Ring theory has been developing through the interaction between the investigation of its own algebraic structure and its application to many areas of mathematics, computer science, and physics among others.

The present monograph on matrix partial orders, the first on this topic, makes a unique presentation of many partial orders on matrices that have fascinated mathematicians for their beauty and applied scientists for their wide-ranging application potential.

Mixing elementary results and advanced methods, Algebraic Approach to Differential Equations aims to accustom differential equation specialists to algebraic methods in this area of interest.

This book describes the construction of algebraic models which represent the operations of the double entry accounting system.

This book introduces the method of automorphic descent, providing an explicit inverse map to the (weak) Langlands functorial lift from generic, cuspidal representations on classical groups to general linear groups.

This book is addressed to graduate students and research workers in theoretical physics who want a thorough introduction to group theory and Hopf algebras.

In a component-based approach for system design, one of the challenging problems is the way to prove the correctness of the created components.

This monograph is concerned with exchange rings in various conditions related to stable range.

The book aims to survey recent developments in quantum algebras and related topics.

The papers in this volume represent the proceedings of the Conference entitled "e;Ischia Group Theory 2010"e;, which took place at NH Ischia Thermal SPA Resort, Ischia, Naples, Italy, from April 14 to April 17, 2010.

The book aims to exemplify the recent developments in operad theory, in universal algebra and related topics in algebraic topology and theoretical physics.

A generalization of Conventional Matrix Product (CMP), called the Semi-Tensor Product (STP), is proposed.

We propose here a study of 'semiexact' and 'homological' categories as a basis for a generalised homological algebra.

This monograph is devoted to the study of Polygroup Theory.

In this book we want to explore aspects of coherence in homological algebra, that already appear in the classical situation of abelian groups or abelian categories.

The theory of hypergroups is a rapidly developing area of mathematics due to its diverse applications in different areas like probability, harmonic analysis, etc.