Search results for ""mp-amm american mathematical""

Research in string theory has generated a rich interaction with algebraic geometry, with exciting work that includes the Strominger-Yau-Zaslow conjecture. This monograph builds on lectures at the 2002 Clay School on Geometry and String Theory that sought to bridge the gap between the languages of string theory and algebraic geometry.

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Contains the proceedings of the first DIMACS workshop. This work covers topics including multicommodity flows, graph matchings and colorings, the traveling salesman problem, integer programming and complexity theory. It is suitable for researchers in combinatorics and combinatorial optimization.

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Presents the characteristic zero invariant theory of finite groups acting linearly on polynomial algebras. The author assumes basic knowledge of groups and rings, and introduces more advanced methods from commutative algebra along the way. The theory is illustrated by numerous examples.

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Offers a modern, up-to-date introduction to quasiconformal mappings from an explicitly geometric perspective, emphasizing both the extensive developments in mapping theory during the past few decades and the remarkable applications of geometric function theory to other fields, including dynamical systems, Kleinian groups, geometric topology, differential geometry, and geometric group theory.

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The Berkeley Math Circle (BMC) started in 1998 as one of the very first maths circles in the US. Over the last decade and a half, 100 instructors have shared their passion for mathematics by delivering over 800 BMC sessions. This second volume is based on a dozen of these sessions, encompassing a variety of enticing and stimulating mathematical topics.

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Operads are mathematical devices that describe algebraic structures of many varieties and in various categories. Operads are particularly important in categories with a good notion of 'homotopy', where they play a key role in organizing hierarchies of higher homotopies. This book offers an introduction describing the development of operad theory.

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Deals with the topic of game theory. This textbook discusses the general game models including deterministic, strategic, sequential, bargaining, coalition, and fair division games. It emphasises on the process of mathematical modeling.

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A guide to Line Complex.

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Presents an introduction to differential geometry. This book then introduces Lie groups and Lie algebras. It concludes with the classification of symmetric spaces by means of the Killing-Cartan classification of simple Lie algebras over $\mathbf{C}$ and Cartan's classification of simple Lie algebras over $\mathbf{R}$.

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Presents an understanding of scattering theory, starting with basic principles and extending to research. This work presents a comprehensive exposition of the theory, covering different methods (of trace class and smooth perturbations) and approaches (time dependent and stationary) and discussing the relationships among them.

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Presents an integrated development of the theory of several complex variables and complex algebraic geometry, leading to proofs of Serre's celebrated GAGA theorems relating the two subjects, and including applications to the representation theory of complex semisimple Lie groups. This text includes a treatment of the local theory.

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Based on a series of lectures at the PCMI summer school, this volume gives an introduction to the advanced techniques behind recent developments in algebraic and analytic geometry. The lectures contain many illustrative examples, detailed computations, and new perspectives on the topics presented.

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Treats free probability theory, which has been extensively developed since the early 1980s. This work focuses on entropy and the random matrix model approach. It is suitable as a reference for mathematicians interested in free probability theory and can serve as a text for an advanced graduate course.

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A cipher is a scheme for creating coded messages for the secure exchange of information. This book develops various encryption schemes, and also introduces the reader to number theory. It places the study of integers and their properties in the context of cryptology.

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Contains papers presented at a conference held in April 2007 at the CRM in Montreal honouring the remarkable contributions of John McKay. This title features the papers that cover a wide range of topics, including group theory, symmetries, modular functions, and geometry, with focus on 2 areas: 'Monstrous Moonshine' and the 'McKay Correspondence'.

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Presents an account of the theory of probability measures on complete metric spaces. This title includes a description of the basics of topology on the set of measures. It discusses regularity, tightness, and perfectness of measures, properties of sampling distributions, and metrizability and compactness theorems.

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Contains 15 articles based on invited talks given at an AMS Special Session on 'Stochastic Inequalities and Their Applications' held at Georgia Institute of Technology (Atlanta). This book includes articles that offer a comprehensive picture of this area of mathematical probability and statistics.

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Based on a course given by the author at the Mechanics-Mathematics Faculty of Moscow University, this book covers mathematical analysis. It includes bibliography and indexes.

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Contains historical background and discussion of results for each chapter, References, and an Index.

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Introduces students with diverse backgrounds to various types of mathematical analysis that are commonly needed in scientific computing. This title treats the subject of numerical analysis from a mathematical point of view, offering an analysis of methods for scientific computing with appropriate motivations and proofs.

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Presents an introduction to algebraic topology via its most classical and elementary segment centered at the notions of fundamental group and covering space. This book is suitable for a course on general and beginning algebraic topology.

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Based on lectures given at the CBMS Workshop on the Combinatorics of Large Sparse Graphs, this work presents fresh perspectives in graph theory and helps to contribute to a sound scientific foundation for our understanding of discrete networks that permeate the information age.

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Determining the invariant subspaces of any given transformation and writing the transformation as an integral in terms of invariant subspaces is a fundamental problem. This book presents the foundations of the theory of triangular and Jordan representations of bounded linear operators in Hilbert space.

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Gives an exposition of the relations among the following three topics: monoidal tensor categories (such as a category of representations of a quantum group), 3-dimensional topological quantum field theory, and 2-dimensional modular functors (which naturally arise in 2-dimensional conformal field theory).

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Presents lectures delivered at a workshop held at the Chinese Academy of Sciences (Bejing). Suitable as a text for a graduate course on wireless communication, this title includes the following articles: ""Nonlinear Systems Control"", ""Adaptive Control of Discrete-Time Nonlinear Systems with Structural Uncertainties"", and ""Networks and Learning"".

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Contains papers presented at the conference, 'Computational Perspectives on Number Theory' held at the University of Illinois at Chicago in honor of the retirement of A O L Atkin. This work covers a range of topics, including algebraic number theory, $p$-adic modular forms and modular curves.

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Integrating ideas from category theory, algebra and combinatorics, this monograph is organised into three parts: category theory; combinatorics and geometry; and an examination of how ideas in Parts I and II lead to a unified approach to Hopf algebras.

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Offers details of Grothendieck's constructions and laying bare how the important classes of operators are a consequence of the abstract operations on tensor norms. This book shows how the classical Banach spaces ($C(K)$'s, Hilbert spaces, and the spaces of integrable functions) fit naturally within the mosaic that Grothendieck constructed.

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Describes the essence of the orbit method for non-experts and gives a detailed exposition of the method. This work can be used as a text for a graduate course, as well as a handbook for non-experts and a reference book for research mathematicians and mathematical physicists.

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Takes a novel approach to the standard introductory material on groups, rings, and fields. This title offers a semi-historical journey through the early decades of the subject as it emerged in the revolutionary work of Euler, Lagrange, Gauss, and Galois. It focuses on the central problem of studying the solutions of polynomial equations.

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Suitable for pre-college teachers, this text starts where Euclid starts, and covers the basics of plane Euclidean geometry. It features problems that are well-suited to exploration using the tools of dynamic geometry software. It includes a CD of solutions to select problems, created using Texas Instruments' TI-Nspire[trademark] Learning Software.

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The nonlinear Schrodinger equation has received a great deal of attention from mathematicians, particularly because of its applications to nonlinear optics. This book presents various mathematical aspects of the nonlinear Schrodinger equation. It studies both problems of local nature and problems of global nature.

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Riesz space (or a vector lattice) is an ordered vector space that is simultaneously a lattice. A topological Riesz space (also called a locally solid Riesz space) is a Riesz space equipped with a linear topology that has a base consisting of solid sets. This book presents a study (with complete proofs) of topological Riesz spaces.

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Shows how to explain concepts, demonstrate computational procedures, and lead students through problem-solving techniques. This book describes the foundations of arithmetic, along with a selection of topics from geometry. It is suitable for a college course in mathematics for prospective elementary school teachers.

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Presents the Dirichlet problem for harmonic functions twice: once using the Poisson integral for the unit disk and again in an informal section on Brownian motion, where the reader can understand intuitively how the Dirichlet problem works for general domains. This book is suitable for a first-year course in complex analysis.

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Includes articles written by A N Kolmogorov's students and colleagues and his personal accounts of shared experiences and lifelong mathematical friendships. This volume includes the following articles: ""On A N Kolmogorov"" by V I Arnol'd, ""In Memory of A N Kolmogorov"" by S M Nikol'skii, and ""A Few Words on A N Kolmogorov"" by P S Aleksandrov.

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Offers a review of high school geometry, and discusses special points associated with triangles, circles and certain associated lines, Ceva's theorem, vector techniques of proof, and compass-and-straightedge constructions. This book focuses on interesting theorems and on the techniques that can be used to prove them.

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Contains various developments and research arising from the conference on the 'Legacy of the Inverse Scattering Transform' held at Mount Holyoke College (South Hadley, MA). This book reviews major research results in the inverse scattering transform (IST) and on the application of IST to classical problems in differential geometry.

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Reflects the themes of student learning and calculus. This volume includes overviews of calculus reform in France and in the US and large-scale and small-scale longitudinal comparisons of students enrolled in first-year reform courses and in traditional courses. It concludes with a study of a concept that overlaps the areas of focus, quantifiers.

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