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

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.

Outlines an array of work on the analytic theory and potential applications of continued fractions, linear functionals, orthogonal functions, moment theory, and integral transforms. This work describes links between continued fractions, Pade approximation, special functions, and Gaussian quadrature.

Based on the Conference on Differential Equations, held in Bologna, this book provides information on research in parabolic and hyperbolic differential equations. It focuses on topics including: abstract parabolic and hyperbolic linear differential equations; nonlinear abstract parabolic equations; and, Volterra operator integral equations.

This book is a collection of research papers on a wide variety of multigrid topics, including applications, computation and theory. It represents proceedings of the Third Copper Mountain Conference on Multigrid Methods, which was held at Copper Mountain, Colorado.

This book contains eighteen papers, all more-or-less linked to the theory of dynamical systems together with related studies of chaos and fractals. It shows many fractal configurations that were generated by computer calculations of underlying two-dimensional maps.

This book covers various topics related to direct integral theory, including Borel spaces, direct integral of Hilbert spaces and operators, direct integrals of representations, direct integrals and types of von Neumann algebras, and measures on the quasi-dual representations.

This book covers topics including the Redei-Reichardt theorem, automorphs of ternary quadratic forms, facts concerning rational matrices leading to integral ternary forms representing zero, characteristics polynomials of symmetric matrices, and Gauss' theory of ternary quadratic forms.

Offers the methods for research in spectral and scattering theory.

This book is based on the proceedings of the Fifth Northeast Conference on General Topology and Applications, held at The College of Staten Island ¿ The City University of New York. It provides insight into the relationship between general topology and other areas of mathematics.

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.

"Written by accomplished and well-known researchers in the field, this unique volume discusses important research topics on p-adic functional analysis and closely related areas, provides an authoritative overview of the main investigative fronts where developments are expected in the future, and more. "

This book discusses topics ranging from traditional areas of topology, such as knot theory and the topology of manifolds, to areas such as differential and algebraic geometry. It also discusses other topics such as three-manifolds, group actions, and algebraic varieties.

This book is based on the Third Kingston Conference on Differential Games and Control Theory held at the University of Rhode Island June 5-8, 1978. It deals with deterministic systems and stochastic systems, and is helpful for the researchers in applied mathematics.

This book presents a detailed account of some results about subalgebras of C(X), which carry a Banach algebra norm. It is intended for students who have had a standard graduate real-variable course and be acquainted with a few odds and ends of functional analysis and complex-variables.

Attempts to unite the fields of mathematical logic and general algebra. This title presents a collection of refereed papers inspired by the International Conference on Logic and Algebra held in Siena, Italy, in honor of the late Italian mathematician Roberto Magari, a leading force in the research in mathematical logic in Italy since the 1960s.

Presents a systematic exposition of bounds for the zeros of entire functions. This text offers a different approach to the investigation of entire functions based on estimates for the resolvents of compact operators. It covers the well-known results of the Hadamard theorem, the Jensen inequality, the Ostrowski inequalities and the Hurwitz theorem.

Covers the areas of modern analysis and probability theory. This title presents a collection of papers given at the Festschrift held in honor of the 65 birthday of M M Rao, whose prolific published research includes the well-received "Theory of Orlicz Spaces and Conditional Measures and Applications".

This volume consists of the proceedings of the conference on Physical Mathematics and Nonlinear Partial Differential Equations held at West Virginia University in Morgantown. It describes some work dealing with weak limits of solutions to nonlinear systems of partial differential equations.

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.

This book provides an account of part of the theory of Lie algebras most relevant to Lie groups. It discusses the basic theory of Lie algebras, including the classification of complex semisimple Lie algebras, and the Levi, Cartan and Iwasawa decompositions.

"Based on papers presented at a recent international conference on algebra and algebraic geometry held jointly in Antwerp and Brussels, Belgium. Presents both survey and research articles featuring new results from the intersection of algebra and geometry. "

"Contains research articles by nearly 40 leading mathematicians from North and South America, Europe, Africa, and Asia, presented at the Fourth International Conference on p-adic Functional Analysis held recently in Nijmegen, The Netherlands. Includes numerous new open problems documented with extensive comments and references."

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 information offered at the international conference held in Curacao, Netherlands Antilles. This work presents the developments in the active areas of abelian groups, particularly in torsion-free abelian groups. It is suitable for algebraists and logicians, research mathematicians, and advanced graduate students in these disciplines.

This volume contains versions of invited addresses and communications for the First Chilean Symposium of Mathematics, revealing the results of the mathematical advances in areas such as stochastic analysis, solutions of differential equations, and differential synthetic geometry and probability.

This book contains papers on algebra, functional analysis, and general topology, with a strong interaction with set theoretic axioms and involvement with category theory, presented in the special session on Rings of Continuous Functions held in 1982 in Cincinnati, Ohio.

This book is concerned with tangent cones, duality formulas, a generalized concept of conjugation, and the notion of maxi-minimizing sequence for a saddle-point problem, and deals more with algorithms in optimization. It focuses on the multiple exchange algorithm in convex programming.

This book presents theoretical results, including an extension of constant rank and implicit function theorems, continuity and stability bounds results for infinite dimensional problems, and the interrelationship between optimal value conditions and shadow prices for stable and unstable programs.

An advanced reference containing 21 selected or consolidated papers presented at an international conference in April 1988 at Tunxi (now Hunangshan), China. Contains recent, previously unavailable findings of Chinese mathematicians; discusses problems, results, and proving methods of combinatorial d