Algebra

This volume deals with the K-theoretical aspects of the group rings of braid groups of the 2-sphere.

The book presents the winners of the Abel Prize in mathematics for the period 2013-17: Pierre Deligne (2013); Yakov G.

This is the fifth and revised edition of a well-received textbook that aims at bridging the gap between the engineering course of tensor algebra on the one hand and the mathematical course of classical linear algebra on the other hand.

These lecture notes provide a self-contained introduction to a wide range of generalizations of Hopf algebras.

This textbook presents the second edition of Manin's celebrated 1988 Montreal lectures, which influenced a new generation of researchers in algebra to take up the study of Hopf algebras and quantum groups.

This second volume in a two-volume series provides an extensive collection of conjectures and open problems in graph theory.

This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological algebra.

This volume brings together recent, original research and survey articles by leading experts in several fields that include singularity theory, algebraic geometry and commutative algebra.

The aim of the present monograph is a thorough study of the adic-completion, its left derived functors and their relations to the local cohomology functors, as well as several completeness criteria, related questions and various dualities formulas.

This book includes a self-contained approach of the general theory of quadratic forms and integral Euclidean lattices, as well as a presentation of the theory of automorphic forms and Langlands' conjectures, ranging from the first definitions to the recent and deep classification results due to James Arthur.

This textbook provides an introduction to the combinatorial and statistical aspects of commutative algebra with an emphasis on binomial ideals.

This volume presents a panorama of the diverse activities organized by V.

The material presented here can be divided into two parts.

Wiring diagrams form a kind of graphical language that describes operations or processes with multiple inputs and outputs, and shows how such operations are wired together to form a larger and more complex operation.

This book presents two new decomposition methods to decompose a time series in intrinsic components of low and high frequencies.

The proceedings from the Abel Symposium on Geometry of Moduli, held at Svinoya Rorbuer, Svolvaer in Lofoten, in August 2017, present both survey and research articles on the recent surge of developments in understanding moduli problems in algebraic geometry.

This textbook provides an accessible account of the history of abstract algebra, tracing a range of topics in modern algebra and number theory back to their modest presence in the seventeenth and eighteenth centuries, and exploring the impact of ideas on the development of the subject.

These proceedings comprise two workshops celebrating the accomplishments of David J.

This book offers an organized and systematic approach to poset metrics and codes.

This carefully written textbook provides an accessible introduction to the representation theory of algebras, including representations of quivers.

The big data tsunami changes the perspective of industrial and academic research in how they address both foundational questions and practical applications.

This textbook provides a concise and self-contained introduction to mathematical logic, with a focus on the fundamental topics in first-order logic and model theory.

This textbook develops the essential tools of linear algebra, with the goal of imparting technique alongside contextual understanding.

This volume contains research papers and surveys reflecting the topics discussed at the EMS Summer School on Multigraded Algebra and Applications held in Romania in August 2016.

Requiring no more than a basic knowledge of abstract algebra, this textbook presents the basics of algebraic number theory in a straightforward, "e;down-to-earth"e; manner.

This monograph provides a modern introduction to the theory of quantales.

This book expands on the classical statistical multivariate analysis theory by focusing on bilinear regression models, a class of models comprising the classical growth curve model and its extensions.

A self-contained introduction to finite dimensional vector spaces, matrices, systems of linear equations, spectral analysis on euclidean and hermitian spaces, affine euclidean geometry, quadratic forms and conic sections.

This book discusses the ways in which the algebras in a locally finite quasivariety determine its lattice of subquasivarieties.

This book provides a comprehensive, in-depth overview of elementary mathematics as explored in Mathematical Olympiads around the world.

This carefully written textbook offers a thorough introduction to abstract algebra, covering the fundamentals of groups, rings and fields.

This book presents 29 invited articles written by participants of the International Workshop on Operator Theory and its Applications held in Chemnitz in 2017.

This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry.

This book explores the application of field theory (patterns of interaction) to Russian economic history, and how social and political fields mediate the influences of institutions, structures, discourses and ideologies in the creation and dissemination of economic thinking, theory and practice.

In its second edition, this textbook offers a fresh approach to matrix and linear algebra.

This text presents six mini-courses, all devoted to interactions between representation theory of algebras, homological algebra, and the new ever-expanding theory of cluster algebras.

This book introduces and develops new algebraic methods to work with relations, often conceived as Boolean matrices, and applies them to topology.

This English edition of Yuri I.

This book offers an introduction to the algorithmic-numerical thinking using basic problems of linear algebra.

Based on the 4th Seminar on Algebra and its Applications organized by the University of Mohaghegh Ardabili, this volume highlights recent developments and trends in algebra and its applications.

This book establishes bounds and asymptotics under almost minimal conditions on the varying weights, and applies them to universality limits and entropy integrals.

This book consists of invited survey articles and research papers in the scientific areas of the "e;International Workshop on Operator Algebras, Operator Theory and Applications,"e; which was held in Lisbon in July 2016.