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  • Generalized Wavelets and Hypergroups

    Wavelets have recently been enjoying a period of popularity and rapid growth, and the influence of wavelet methods now extends well beyond mathematics into a number of practical fields, including statistics. The theory of hypergroups can be traced back to the turn of the century, and following its formalization in the early 1970s, the area has now ... Leer más

    $225.99 USD

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  • Noncommutative Geometry

    de Alain Connes ...
    This English version of the path-breaking French book on this subject gives the definitive treatment of the revolutionary approach to measure theory, geometry, and mathematical physics developed by Alain Connes. Profusely illustrated and invitingly written, this book is ideal for anyone who wants to know what noncommutative geometry is, what it can do, or how it can be used in various areas of ... Leer más

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  • Geometry Of Crystallographic Groups

    Series Libro 4 - Algebra And Discrete Mathematics
    Crystallographic groups are groups which act in a nice way and via isometries on some n-dimensional Euclidean space. They got their name, because in three dimensions they occur as the symmetry groups of a crystal (which we imagine to extend to infinity in all directions). The book is divided into two parts. In the first part, the basic theory of crystallographic groups is developed from the very ... Leer más

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  • An Introduction to Homological Algebra

    Series Libro 38 - Cambridge Studies in Advanced Mathematics
    The landscape of homological algebra has evolved over the last half-century into a fundamental tool for the working mathematician. This book provides a unified account of homological algebra as it exists today. The historical connection with topology, regular local rings, and semi-simple Lie algebras are also described. This book is suitable for second or third year graduate students. The first ... Leer más

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  • Harmonic Analysis on Homogeneous Spaces

    Second Edition

    Series series Dover Books on Mathematics
    This book is suitable for advanced undergraduate and graduate students in mathematics with a strong background in linear algebra and advanced calculus. Early chapters develop representation theory of compact Lie groups with applications to topology, geometry, and analysis, including the Peter-Weyl theorem, the theorem of the highest weight, the character theory, invariant differential operators on ... Leer más

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  • Mumford-Tate Groups and Domains

    Their Geometry and Arithmetic

    Series Libro 183 - Annals of Mathematics Studies
    Mumford-Tate groups are the fundamental symmetry groups of Hodge theory, a subject which rests at the center of contemporary complex algebraic geometry. This book is the first comprehensive exploration of Mumford-Tate groups and domains. Containing basic theory and a wealth of new views and results, it will become an essential resource for graduate students and researchers.Although Mumford-Tate ... Leer más

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  • Handbook of Algebraic Topology

    Edición de I.M. James ...
    Algebraic topology (also known as homotopy theory) is a flourishing branch of modern mathematics. It is very much an international subject and this is reflected in the background of the 36 leading experts who have contributed to the Handbook. Written for the reader who already has a grounding in the subject, the volume consists of 27 expository surveys covering the most active areas of research. ... Leer más

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  • The Moment Problem

    Series series Mathematics and Statistics (R0)
    This advanced textbook provides a comprehensive and unified account of the moment problem. It covers the classical one-dimensional theory and its multidimensional generalization, including modern methods and recent developments.In both the one-dimensional and multidimensional cases, the full and truncated moment problems are carefully treated separately. Fundamental concepts, results and methods ... Leer más

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  • Quantum f-Divergences in von Neumann Algebras

    Reversibility of Quantum Operations

    de Fumio Hiai ...
    Series series Physics and Astronomy (R0)
    Relative entropy has played a significant role in various fields of mathematics and physics as the quantum version of the Kullback–Leibler divergence in classical theory. Many variations of relative entropy have been introduced so far with applications to quantum information and related subjects. Typical examples are three different classes, called the standard, the maximal, and the measured f ... Leer más

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  • Highlights in Lie Algebraic Methods

    Series series Mathematics and Statistics (R0)
    This volume consists of expository and research articles that highlight the various Lie algebraic methods used in mathematical research today. Key topics discussed include spherical varieties, Littelmann Paths and Kac–Moody Lie algebras, modular representations, primitive ideals, representation theory of Artin algebras and quivers, Kac–Moody superalgebras, categories of Harish–Chandra modules, ... Leer más

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  • The Finite Element Method for Elliptic Problems

    de P.G. Ciarlet ...
    Series Libro 4 - Studies in Mathematics and its Applications
    The objective of this book is to analyze within reasonable limits (it is not a treatise) the basic mathematical aspects of the finite element method. The book should also serve as an introduction to current research on this subject. On the one hand, it is also intended to be a working textbook for advanced courses in Numerical Analysis, as typically taught in graduate courses in American and ... Leer más

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  • Fundamentals of Infinite Dimensional Representation Theory

    Infinite dimensional representation theory blossomed in the latter half of the twentieth century, developing in part with quantum mechanics and becoming one of the mainstays of modern mathematics. Fundamentals of Infinite Dimensional Representation Theory provides an accessible account of the topics in analytic group representation theory and operator algebras from which much of the subject has ... Leer más

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