A new approach to conveying abstract algebra, the area that studies algebraic structures, such as groups, rings, fields, modules, vector …
The theory of algebraic function fields over finite fields has its origins in number theory. However, after Goppa`s discovery of …
This work is based on the lectures presented at the International Conference of Commutative Algebra and Algebraic Geometry held in …
The Abel Symposium 2009 "Combinatorial aspects of Commutative Algebra and Algebraic Geometry", held at Voss, Norway, featured talks by leading …
The book contains surveys and research papers on mathematical software and algorithms. The common thread is that the field of …
This volume of the EMS consists of two parts. The first entitled Combinatorial Group Theory and Fundamental Groups, written by …
This book presents state-of-the-art research and survey articles that highlight work done within the Priority Program SPP 1489 “Algorithmic and …
Topics in Matroid Theory provides a brief introduction to matroid theory with an emphasis on algorithmic consequences.Matroid theory is at …
by Gian-Carlo Rota The subjects of mathematics, like the subjects of mankind, have finite lifespans, which the historian will record …
The behaviour of vanishing cycles is the cornerstone for understanding the geometry and topology of families of hypersurfaces, usually regarded …
Intersection cohomology assigns groups which satisfy a generalized form of Poincaré duality over the rationals to a stratified singular space. …
The volume is based on a course, "Geometric Models for Noncommutative Algebras" taught by Professor Weinstein at Berkeley. Noncommutative geometry …
The application of geometric algebra to the engineering sciences is a young, active subject of research. The promise of this …
This is a description of the underlying principles of algebraic geometry, some of its important developments in the twentieth century, …
"Control theory represents an attempt to codify, in mathematical terms, the principles and techniques used in the analysis and design …
This book is a short primer in engineering mathematics with a view on applications in nonlinear control theory. In particular, …
Quantum groups and quantum algebras as well as non-commutative differential geometry are important in mathematics and considered to be useful …
This book is intended to give a serious and reasonably complete introduction to algebraic geometry, not just for (future) experts …
Through a careful treatment of number theory and geometry, Number, Shape, & Symmetry: An Introduction to Number Theory, Geometry, and …
This volume covers many topics including number theory, Boolean functions, combinatorial geometry, and algorithms over finite fields. This book contains …
This volume consists of articles presented as talks at the Algebraic Geometry Conference held in the State Pedagogical Institute of …
Algebraic Geometry and its Applications will be of interest not only to mathematicians but also to computer scientists working on …
Algorithms in algebraic geometry go hand in hand with software packages that implement them. Together they have established the modern …
Noncommutative geometry is the study of families of (commutative) algebraicvarieties (with specified connecting morphisms) which are locally controlledby noncommutative algebras.
Noncommutative Geometry and Cayley-smooth Orders explains the theory of Cayley-smooth orders in central simple algebras over function fields of varieties. …
These notes arose from a series of introductory seminars on noncommutative geometry the author gave at the University of Trieste. …
These lectures notes are an intoduction for physicists to several ideas and applications of noncommutative geometry. The necessary mathematical tools …
The classical theory of stochastic processes has important applications arising from the need to describe irreversible evolutions in classical mechanics; …
There are many technical and popular accounts, both in Russian and in other languages, of the non-Euclidean geometry of Lobachevsky …
In 1905, Albert Einstein offered a revolutionary theory - special relativity - to explain some of the most troubling problems …
This book discusses in detail the mathematical aspects and physical applications of a new geometrical structure of space-time. It is …
