Bøker i Lecture Notes in Pure and Applied Mathematics-serien

In honor of Edgar Enochs and his contributions to a range of topics in Algebra, top researchers from around the world gathered at Auburn University to report on their work and exchange ideas on some of the foremost research topics. This work presents the refereed papers of the participants of these talks.

A collection of research papers and surveys on algebra that are presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil. It familiarizes researchers with the topics, techniques, and methodologies in several branches of contemporary algebra. It examines broad themes from group theory and ring theory.

Presents a collection of research papers and surveys on differential equations. This book covers topics in various disciplinary fields, including differential equations in Banach spaces, integro-differential equations, models in superconductivity, hyperbolic partial differential equations, blowup of solutions, and Navier-Stokes equations.

Presents a comprehensive treatment of various simple extensions and their properties. This title examines several properties of simple ring extensions of Noetherian integral domains. It mainly explores anti-integral, super-primitive, and ultra-primitive extensions, and studies certain properties such as flatness, integrality, and unramifiedness.

Presenting content from the University of Iowa's Conference on Factorization in Integral Domains, and the 909th Meeting of the American Mathematical Society's Special Session in Commutative Ring Theory held in Iowa City, this text gathers work on factorization in integral domains and monoids, and the theory of divisibility.

Based on the conference/workshop on Continuum Theory and Dynamical Systems held in Lafayette, Louisiana, this title illustrates the knowledge on the relationship between these subjects. It presents various problems in hyperspaces, induced maps, universal maps, fixed-point sets, disconnected numbers and quotient maps.

Presents an overview of stochastic PDEs in several fields, such as filtering theory, stochastic quantization, quantum probability, and mathematical finance. This book includes such topics as Navier-Stokes equations, Ornstein-Uhlenbeck semigroups, and quantum stochastic differential equations. It offers information for PhD students in probability.

Contains presentations from the international workshop on local cohomology held in Guanajuato, Mexico. This work includes lecture notes of two minicourses on applications in equivariant topology and duality theory, and chapters on finiteness properties, D-modules, combinatorial analyses and related topics.

Discusses progress and some of the unresolved issues in two- and three-dimensional turbulence as well as scalar compressible turbulence. This title also discusses subrigid-scale modeling and hybrid methods involving a mix of Reynolds-averaged Navier - Stokes (RANS), large-eddy simulations (LES), and direct numerical simulations (DNS).

Contains chapters that demonstrate the diversity of approaches taken in studying nonunique factorizations and serve both as an introduction to factorization theory and as a survey of trends and results. This book also provides chapters that show research motivated by arithmetical properties of commutative rings and monoids.

Features various research results that borrow methods from neighboring fields such as combinatorics, homological algebra, polyhedral geometry, symbolic computation, and topology. This book contains articles presented during two conferences held in Spain and Portugal in June, 2003. It covers topics such as blowup algebras and Koszul homology.

With contributions derived from presentations at an international conference, this book explores a wide range of topics focusing on Lie algebras, nonassociative rings and algebras, quasigroups, loops, and related systems as well as applications of nonassociative algebra to geometry, physics, and natural sciences.

Summarizes the proceedings of an algebraic conference held at Venice International University in Italy. This work reviews the research on Abelian groups, algebras and their representations, module and ring theory, and topological algebraic structures.

Shows the effectiveness of abstract analysis for solving fundamental problems of stochastic theory, specifically the use of functional analytic methods for elucidating stochastic processes.

Presents the proceedings of the Third International Conference on Commutative Ring Theory held in Fez, Morocco. This title details the developments in commutative algebra and related areas. It examines wide-ranging developments in commutative algebra, together with connections to algebraic number theory and algebraic geometry.

Includes proceedings of the Second International Conference on Trends in Semigroup Theory and Evolution Equations held Sept 1989, Delft University of Technology, the Netherlands.

Contains papers presented at the 35th Taniguchi International Symposium held in Sanda and Kyoto, Japan. This work covers the developments concerning moduli spaces of vector bundles or instantons and their application. It covers an array of topics in both differential and algebraic geometry.

Focuses on the links between mathematics and the physical world. This book explores challenges of mathematical technology, offers a wide-ranging definition of industrial mathematics, and explains the mathematics of type-II superconductors. It presents classical and fractal methods for physical problems.

This important work provides a comprehensive overview of the properties of Banachspaces related to strict convexity and a survey of significant applications-uniting a wealthof information previously scattered throughout the mathematical literature in a well-organized,accessible format

Contains proceedings of Varenna 2000, the international conference on theory and numerical methods of the navier-Stokes equations, held in Villa Monastero in Varenna, Lecco, Italy. This title surveys a wide range of topics in fluid mechanics, including compressible, incompressible, and non-newtonian fluids, and hydrodynamic potential theory.

Suitable for industrial and applied mathematicians, analysts, and computer scientists, this title integrates two fields - asymptotic analysis and the numerical solution of partial differential equations - in 16 lectures from a February 1990 workshop at the Argonne National Laboratory, Illinois.

Presents the refereed proceedings of the Guangzhou International Symposium on Computational Mathematics, held at the Zhongshan University, People's Republic of China. This work examines numerical optimization methods, wavelet analysis, computational approximation, numerical solutions of differential and integral equations, and geometric modelling.

Reports and expands upon topics discussed at the International Conference on differential equations held in Colorado Springs, Colorado, June 1989. This work presents advances in control, oscillation, and stability theories, spanning a variety of subfields and covering evolution equations and differential inclusions.

One of the most important problems in the theory of entire functions is the distribution of the zeros of entire functions. This is the first book to provide a systematic exposition of the bounds for the zeros of entire functions and variations of zeros under perturbations. The book also offers a new approach for investigating entire functions based on recent estimates for the resolvents of compact operators. Along with describing applications to differential, functional differential, and difference equations, the author estimates the distance between the zeros of an entire function and its critical points as well as the distance between the zeros of the Taylor series and its tail.

A collection of research papers and surveys on algebra that are presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil. It familiarizes researchers with the topics, techniques, and methodologies in several branches of contemporary algebra. It examines broad themes from group theory and ring theory.

Based on papers presented at an international conference on algebra and algebraic geometry held jointly in Antwerp and Brussels, Belgium, this title presents both survey and research articles featuring various results from the intersection of algebra and geometry.

Featuring presentations from the Fourth International Conference on Commutative Algebra held in Fez, Morocco, this reference presents trends in the area of commutative algebra. It emphasizes applications and connections to algebraic number theory, geometry, and homological and computational algebra.

Integrates and summarizes the significant developments made by Chinese mathematicians in rings, groups, and algebras since the 1950s. This work examines topics in Hopf algebra, representation theory, semigroups, finite groups, homology algebra, module theory and valuation theory.

Covers topics in commutative and noncommutative ring extensions, especially those involving issues of separability, Galois theory, and cohomology.