Bøger i Lecture Notes in Pure and Applied Mathematics serien

Presents ideas for the development of an intrinsically noncommutative geometry. This book provides numerous suggestions for possible projects, ranging from exercise level to research level. It covers topics such as Grothendieck categorical representations and structure sheaves.

Examines the invariant of Castelnuovo-Mumford regularity, blowup algebras, and bigraded rings. This work outlines the status of two conjectures: the lex-plus-power (LPP) conjecture and the multiplicity conjecture. It considers minimal free resolutions of integral subschemes and of equidimensional Cohen-Macaulay subschemes of small degree.

Addressing algebraic problems found in biomathematics and energy, this book discusses moving boundary and boundary control in systems described by partial differential equations. It emphasizes numerical and theoretical control of moving boundaries in fluid structure couple systems, arteries, shape stabilization level methods, and boundary control.

This book provides a descriptive account of Mischa Cotlar's work along with a complete bibliography of his mathematical books and papers. It examines the harmonic analysis and operator theory in relation with the theory of partial differential equations.

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.

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.

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.

Discussing developments that lead to boundary analysis and the stochastic process, this book, developed from the proceeding of the 21st Conference on System Modeling and Optimization in France, studies partial differential systems and equations. It contains a numerical treatment of the mathematical Speed Method or Eulerian parametrization tool.

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 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.

Discusses research topics on p-adic functional analysis and closely related areas. This title provides an overview of the main investigative fronts where developments are expected in the future.

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.

Based on the proceedings of the first International Conference on Matrix-Analytic Methods (MAM) in Stochastic Models, held in Flint, Michigan, this book presents a general working knowledge of MAM through tutorial articles and application papers. It furnishes information on MAM studies carried out in the former Soviet Union.

Explains the modern theory of the method of averaging and provides an understanding of the results obtained when applying this theory. This book describes stability theory and Shtokalo's method, and examines various applications, including parametric resonance and the construction of asymptotics. It also explores nonlinear equations.

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

Presents talks from the International Conference on Computers and Mathematics held on July 29 - August 1, 1986 at Stanford University. This title features some talks that are focused on the role of computers as a research tool in such areas as number theory, analysis, special functions, combinatorics, algebraic geometry, topology, and physics.

Contains papers presented at the 27th Taniguchi International Symposium, held in Sanda, Japan. This title focuses on the study of moduli spaces of various geometric objects such as Einstein metrics, conformal structures, and Yang-Mills connections from algebraic and analytic points of view. It discusses topics in Kaehler geometry.

Contains 21 selected or consolidated papers presented at an international conference in April 1988 at Tunxi (Hunangshan), China.

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.

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.

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

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.

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.

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.

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.

Analyzes developments in the study of quantum random fields, control theory, white noise, and fluid dynamics. This title presents conditions for nontrivial and well-defined scattering, Gaussian noise terms, models depicting the asymptotic behavior of evolution equations, and solutions to filtering dilemmas in signal processing.

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.

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.