Search results for ""Author American Mathem American Mathem""

Understanding and working with the models of financial markets requires a sound knowledge of the mathematical tools and ideas from which they are built. Covering the topic of financial modelling and optimization, this book helps readers obtain a self-contained introduction to the underlying mathematics. It is suitable as a graduate textbook.

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The correspondence between Einstein metrics and their conformal boundaries has been the focus of great interest. This book shows this correspondence in the wider context of asymptotically symmetric Einstein metrics, that is Einstein metrics whose curvature is asymptotic to that of a rank one symmetric space.

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In addition to the standard topics, this volume contains many topics not often found in an algebra book, such as inequalities, and the elements of substitution theory. Especially extensive is Chrystal's treatment of the infinite series, infinite products, and (finite and infinite) continued fractions.

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The mean curvature of a surface is an extrinsic parameter measuring how the surface is curved in the three-dimensional space. A surface whose mean curvature is zero at each point is a minimal surface, and it is known that such surfaces are models for soap film. This book presents many examples of constant mean curvature surfaces.

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Presents the proceedings of the conference on 'Trends in Mathematical Physics' held at the University of Tennessee. The conference drew international experts from mathematical and computational physics. The following topics were addressed: superstrings and quantum gravity, pattern formation, and crystallographic topology.

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Reproduces the doctoral thesis written by a remarkable mathematician, Sergei V Kerov. This book discusses the properties of the distribution of the normalized cycle length in a random permutation and the limiting shape of a random (with respect to the Plancherel measure) Young diagram.

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Contains many topics in algebra such as inequalities, and the elements of substitution theory. This volume includes over 2,400 exercises with solutions. It also gives a treatment of the infinite series, infinite products, and (finite and infinite) continued fractions.

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Presents the translation from the Japanese textbook for the grade 10 course, 'Basic Mathematics'. This book covers algebra (including quadratic functions, equations, and inequalities), trigonometric functions, and plane coordinate geometry.

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Based on courses taught by the author at Moscow State University, this book features such topics as the theory of Banach and Hilbert tensor products, the theory of distributions and weak topologies, and Borel operator calculus. It contains many examples illustrating the general theory presented, as well as multiple exercises to help the reader.

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Intended for graduate students who have completed standard courses in linear algebra and abstract algebra, this title provides a single source for the basic facts about the classical groups and also includes the required geometrical background information from the first principles.

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Presents a general theory of iteration algorithms for the numerical solution of equations and systems of equations. This book investigates the relationship between the quantity and the quality of information that is used by an algorithm.

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Much has been written on the theory of discontinuous groups and automorphic functions since 1880, when the subject received its first formulation. This book intends to bring together in one place both the classical and modern aspects of the theory, and to present them clearly and in a modern language and notation.

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Covers developments in the theory of Teichmuller spaces and offers references to the literature on Teichmuller spaces and quasiconformal mappings. This work describes how quasiconformal mappings have revitalized the subject of complex dynamics. It illustrates the role of these mappings in Thurston's theory of hyperbolic structures on 3-manifolds.

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It has been realized that Hilbert schemes originally studied in algebraic geometry are closely related to several branches of mathematics, such as singularities, symplectic geometry, representation theory - even theoretical physics. This book reflects this feature of Hilbert schemes.

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Intends to provide an introduction to some of the analytic underpinnings for the geometry of anti-self duality in 4-dimensions. The book reviews some basic geometry, but it is assumed that the reader has a general background in differential geometry. It also includes a chapter containing open problems and conjectures.

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Starting from classical arithmetical questions on quadratic forms, this book takes the reader step by step through the connections with lattice sphere packing and covering problems. As a model for polyhedral reduction theories of positive definite quadratic forms, it presents Minkowski's classical theory.

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Places Lebesgue's early work on integration theory within in proper historical context by relating it to the developments during the nineteenth century that motivated it and gave it significance and also to the contributions made in this field by Lebesgue's contemporaries.

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Offers a focused point of view on the differential geometry of curves and surfaces. This monograph treats the Gauss - Bonnet theorem and discusses the Euler characteristic. It also covers Alexandrov's theorem on embedded compact surfaces in R3 with constant mean curvature.

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Based on CBMS lectures given at Texas Christian University, this book describes some of the interplay between string dualities and topology and operator algebras. It shows how several seemingly disparate subjects are closely linked with one another. It gives readers an overview of some areas of research.

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The papers in this volume were written by members of the seminar on representation theory at Moscow University, which has been running continuously since 1961. Among the topics included are representation theory of ""large"" groups and dual objects for certain real reductive Lie groups.

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Derives from lectures presented at the 2001 John H Barrett Memorial Lectures at the University of Tennessee, Knoxville. This work is suitable for graduate students as well as the many groups of researchers working in advanced computations, including engineering and computer scientists.

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There have been many wonderful developments in the theory of minimal surfaces and geometric measure theory. This book covers variational geometry. It focuses on Plateau's Problem, which is concerned with surfaces that model the behavior of soap films.

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A guide to the basics of modern algebraic geometry.

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Dedicated to the memory of Russian mathematician, V A Rokhlin (1919-1984), this is a collection of research papers written by his former students and followers. It includes topics such as: topology, real algebraic geometry, dynamics, geometry of Riemannian manifolds, theory of Teichmuller spaces, and measure theory.

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Examines in some depth two important classes of point processes, determinantal processes and 'Gaussian zeros', i.e., zeros of random analytic functions with Gaussian coefficients. This title presents a primer on modern techniques on the interface of probability and analysis.

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Based on lectures presented by Popa at the NSF-CBMS Regional Conference held in Eugene, Oregon, in August 1993, this title offers a unified and self-contained presentation of the results presented in Popa's earlier papers.

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There is a tradition in Russia that holds that mathematics can be both challenging and fun. One fine outgrowth of that tradition is the magazine, ""Kvant"", which has been enjoyed by many of the best students since its founding in 1970. This book presents a collection of articles from ""Kvant"".

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Includes expositions of key developments in commutative and non-commutative algebra, algebraic $K$-theory, infinite group theory, and applications of algebra to topology. This book contains articles that are based on lectures given at a conference at Columbia University honoring the 65th birthday of Hyman Bass.

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The Fourier coefficients of modular forms are of widespread interest as an important source of arithmetic information. This book covers the Eichler-Selberg/Hijikata trace formula for the traces of Hecke operators on spaces of holomorphic cusp forms of weight $\mathtt{k}>2$ for congruence subgroups of $\operatorname{SL}_2(\mathbf{Z})$.

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Algorithmic number theory is a branch of number theory, which, in addition to its mathematical importance, has substantial applications in computer science and cryptography. This book describes the various algorithms used in cryptography.

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Covers quadratic and higher forms. This book presents methods of attacking whole classes of problems.

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Includes articles that introduce readers to mathematical methods of classical and quantum mechanics and the link between these two theories: quantization and semiclassical analysis. This title introduces graduate students with a basic knowledge of mathematics into areas of active research.

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Contains the proceedings of the Moonshine workshop held at the Centre de Recherches Mathematiques (CRM) in Montreal. This work presents the various classical Moonshine themes, namely the Monster simple group and other finite groups, automorphic functions and forms and related congruence groups, and vertex algebras and their representations.

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Emil Artin was one of the great mathematicians of the twentieth century. He had the rare distinction of having solved two of the famous problems posed by David Hilbert in 1900. He showed that every positive definite rational function of several variables was a sum of squares. This book gathers a selection of his writings.

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Presents a systematic approach to conformal field theory with gauge symmetry from the point of view of complex algebraic geometry. This book also presents the basic facts of the theory of compact Riemann surfaces and the representation theory of affine Lie algebras.

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Includes discussion of smoothness, differentiability, and analyticity, the idea of local coordinates and coordinate transformation, and a detailed explanation of the Whitney imbedding theorem (both in weak and in strong form). This book describes the notion of the area of a figure on the plane and the volume of a solid body in space.

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Although division algebras are a very classical object, this book presents this 'classical' material in a new way, highlighting various approaches and fresh theorems, and illuminating the connections with a variety of areas in mathematics. It is based on lectures on division algebras given at a conference held at Colorado State University.

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Presents a comprehensive exposition of the modern theory of valued and ordered fields. This title presents the classical aspects of such fields: their arithmetic, topology, and Galois theory. It emphasizes the close connections and interplay between valuations and orderings, and to a large extent, studies them in a unified manner.

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Presents proceedings from the AMS short course, Trends in Optimization 2004, held at the Joint Mathematics Meetings in Phoenix (AZ). This book describes Lovasz's fundamental algorithm for producing a short vector in a lattice by basis reduction.

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Ideas from quantum field theory and string theory have had considerable impact on mathematics. In 1996-97 the Institute for Advanced Study (Princeton, NJ) organized a special year-long program designed to teach mathematicians the basic physical ideas which underlie the mathematical applications. These volumes are a written record of the program.

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Presents a coherent account of matrix theory with a view to applications in mathematics, theoretical physics, statistics, and electrical engineering.

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Throughout the history of mathematics, maximum and minimum problems have played an important role in the evolution of the field. This book presents fifteen 'stories' that acquaint readers with the central concepts of the theory of maxima and minima, as well as with its illustrious history.

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