Oxford Mathematical Monographs – serie
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68 produkter
Fourier-Mukai Transforms in Algebraic Geometry
Inbunden, 2006
2902 kr
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This seminal text on Fourier-Mukai Transforms in Algebraic Geometry by a leading researcher and expositor is based on a course given at the Institut de Mathematiques de Jussieu in 2004 and 2005. Aimed at postgraduate students with a basic knowledge of algebraic geometry, the key aspect of this book …
Approach Spaces
The Missing Link in the Topology-Uniformity-Metric Triad
Av R. Lowen
Inbunden, 1997
2031 kr
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In topology the three basic concepts of metrics, topologies and uniformities have been treated so far as separate entities by means of different methods and terminology. This is the first book to treat all three concepts as a special case of the concept of approach spaces. This theory provides an …
Hyperbolic Manifolds and Kleinian Groups
Av Katsuhiko Matsuzaki, Masahiko Taniguchi
Inbunden, 1998
3864 kr
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A Kleinian group is a discrete subgroup of the isometry group of hyperbolic 3-space, which is also regarded as a subgroup of Möbius transformations in the complex plane. The present book is a comprehensive guide to theories of Kleinian groups from the viewpoints of hyperbolic geometry and complex …
Topological Dynamics of Random Dynamical Systems
Inbunden, 1997
3452 kr
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This book is devoted to the theory of topological dynamics of random dynamical systems. The theory of random dynamical systems is a relatively new and fast expanding field of research which attracts the attention of researchers from various fields of science. It unites and develops the classical …
Mathematical Theory of Thermodynamic Limits
Thomas-Fermi Type Models
Av Isabelle Catto, Claude Le Bris m. fl.
Inbunden, 1998
1811 kr
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The thermodynamic limit is a mathematical technique which allows us to consider crystals (or other macroscopic objects) as infinitely sized periodically arranged molecules. This means that we can derive models in solid state physics from models in quantum chemistry. Based on this technique, the …
Classical and Modern Methods in Summability
Inbunden, 2000
5010 kr
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Summability is a mathematical topic with a long tradition and many applications in, for example, function theory, number theory, and stochastics. It was originally based on classical analytical methods, but was strongly influenced by modern functional analytical methods during the last seven …
Functions of Bounded Variation and Free Discontinuity Problems
Av Luigi Ambrosio, Nicola Fusco m. fl.
Inbunden, 2000
5468 kr
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This book deals with a class of mathematical problems which involve the minimization of the sum of a volume and a surface energy and have lately been refered to as 'free discontinuity problems'. The aim of this book is twofold: The first three chapters present all the basic prerequisites for the …
The Geometry of Four-Manifolds
Av Donaldson, Kronheimer
Häftad, 1997
2902 kr
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The last ten years have seen rapid advances in the understanding of differentiable four-manifolds not least of which has been the discovery of new 'exotic' manifolds. These results have had far-reaching consequences in geometry, topology, and mathematical physics and have proved to be a mainspring …
Geometric Quantization
Oxford Mathematical Monographs
Av Woodhouse
Häftad, 1997
2994 kr
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The geometric approach to quantization was introduced by Kostant and Souriau more than twenty years ago. It has given valuable and lasting insights into the relationship between classical and quantum systems. It continues to be a popular research topic. The ideas have proved useful in pure …
Projective Geometries over Finite Fields
Inbunden, 1998
5102 kr
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This book is an account of the combinatorics of projective spaces over a finite field, with special emphasis on one and two dimensions. With its successor volumes, Finite projective spaces over three dimensions (1985), which is devoted to three dimensions, and General Galois geometries (1991), on a …
Symmetric Functions and Hall Polynomials
Häftad, 1998
3131 kr
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This is a new and much expanded edition of Professor Macdonald's acclaimed monograph on Symmetric Functions and Hall Polynomials. Almost every chapter has new sections and many new examples have been included throughout. In addition there are two new chapters (6 and 7).Chapter 6 contains an …
Wavelets: An Analysis Tool
Av Holschneider
Häftad, 1998
2411 kr
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This successful title is now available in paperback. Wavelet analysis is a growing field of active research, and applications exist in all areas of mathematics, physics, and engineering. This book provides an easy-to-read introduction to the subject, laying the mathematical foundations of the …
Special Functions
A Unified Theory Based on Singularities
Av Sergei Yuryevitsh Slavyanov, Wolfgang Lay
Inbunden, 2000
5331 kr
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The subject of this book is the theory of special functions, not considered as a list of functions exhibiting a certain range of properties, but based on the unified study of singularities of second-order ordinary differential equations in the complex domain. The number and characteristics of the …
Compact Manifolds with Special Holonomy
Inbunden, 2000
3635 kr
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The book starts with a thorough introduction to connections and holonomy groups, and to Riemannian, complex and Kähler geometry. Then the Calabi conjecture is proved and used to deduce the existence of compact manifolds with holonomy SU(m) (Calabi-Yau manifolds) and Sp(m) (hyperkähler manifolds). …
System Control and Rough Paths
Inbunden, 2002
2994 kr
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This book describes a completely novel mathematical development which has already influenced probability theory, and has potential for application to engineering and to areas of pure mathematics.Intended for probabilists, mathematicians and engineers with a mathematical background from graduate …
The Theory of Infinite Soluble Groups
Av John C. Lennox, Derek J. S. Robinson
Inbunden, 2004
4185 kr
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The central concept in this monograph is that of a soluble group - a group which is built up from abelian groups by repeatedly forming group extensions. It covers all the major areas, including finitely generated soluble groups, soluble groups of finite rank, modules over group rings, algorithmic …
A Graphic Apology for Symmetry and Implicitness
Av Alessandra Carbone, Stephen Semmes
Inbunden, 2000
1701 kr
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The present book brings into focus the contrast between explicit and implicit algorithmic descriptions of objects. These themes are considered in a variety of settings, sometimes crossing traditional boundaries. Special emphasis is given to moderate complexity - exponential or polynomial - but …
Some Novel Types of Fractal Geometry
Inbunden, 2000
3406 kr
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The present book deals with fractal geometries which have features similar to ones of ordinary Euclidean spaces, while at the same time being quite different from Euclidean spaces in other ways. A basic type of feature being considered is the presence of Sobolev or Poincaré inequalities, concerning …
Algebraic and Geometric Surgery
Inbunden, 2002
4529 kr
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This book is an introduction to surgery theory: the standard classification method for high-dimensional manifolds. It is aimed at graduate students who have already had a basic topology course, and would now like to understand the topology of high-dimensional manifolds. This text contains …
Geometric Function Theory and Non-linear Analysis
Av Tadeusz Iwaniec, Gaven John Martin
Inbunden, 2001
5010 kr
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This book provides a survey of recent developments in the field of non-linear analysis and the geometry of mappings.Sobolev mappings, quasiconformal mappings, or deformations, between subsets of Euclidean space, or manifolds or more general geometric objects may arise as the solutions to certain …
The Universality of the Radon Transform
Inbunden, 2003
4499 kr
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Written by a leading scholar in mathematics, this monograph discusses the Radon transform, a field that has wide ranging applications to X-ray technology, partial differential equations, nuclear magnetic resonance scanning, and tomography. In this book, Ehrenpreis focuses on recent research and …
Quantum Symmetries on Operator Algebras
Av David E. Evans, Yasuyuki Kawahigashi
Inbunden, 1998
6077 kr
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In the last 20 years, the study of operator algebras has developed from a branch of functional analysis to a central field of mathematics with applications and connections with different areas in both pure mathematics (foliations, index theory, K-theory, cyclic homology, affine Kac--Moody algebras, …
Analytic K-Homology
Av Nigel Higson, John Roe
Inbunden, 2000
4873 kr
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Analytic K-homology draws together ideas from algebraic topology, functional analysis and geometry. It is a tool - a means of conveying information among these three subjects - and it has been used with specacular success to discover remarkable theorems across a wide span of mathematics. The …
Black Holes
Gravitational Interactions
Av P. D. D'Eath
Inbunden, 1996
3833 kr
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Black Holes are regions of space-time where the gravitational field is so strong that not even light can escape. There has been much written on black holes, however in most cases they are treated as isolated objects. The author has found a number of cases in which the interaction of a black hole …
Homotopy Type and Homology
Inbunden, 1996
1306 kr
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Research mathematicians in algebraic topology will be interested in this new attempt to classify homotopy types of simply connected CW-complexes. This book provides a modern treatment of a long established set of questions in algebraic topology. The author is a leading figure in this important …
Asymptotic Analysis of Fields in Multi-structures
Av Vladimir Kozlov, Vladimir Maz'ya m. fl.
Inbunden, 1999
1701 kr
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The asymptotic analysis of boundary value problems in parameter-dependent domains is a rapidly developing field of research in the theory of partial differential equations, with important applications in electrostatics, elasticity, hydrodynamics and fracture mechanics. Building on the work of …
The Feynman Integral and Feynman's Operational Calculus
Häftad, 2002
4,0 utav 5 stjärnor. Totalt antal röster: (1)
2810 kr
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The aim of this book is to make accessible to mathematicians, physicists and other scientists interested in qunatum theory, the beautiful but mathematically difficult subjects of the Feynman integral and Feynman's operational calculus. Some advantages of the approaches to the Feynman integral which …
Threading Homology through Algebra
Selected patterns
Av Giandomenico Boffi, David Buchsbaum
Inbunden, 2006
1060 kr
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Threading Homology through Algebra takes homological themes (Koszul complexes and their variations, resolutions in general) and shows how these affect the perception of certain problems in selected parts of algebra, as well as their success in solving a number of them. The text deals with regular …
Electromagnetism of Continuous Media
Mathematical Modelling and Applications
Av Mauro Fabrizio, Angelo Morro
Inbunden, 2003
4231 kr
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For graduate students and researchers, this self contained text provides a carefully structured, coherent, and comprehensive treatment of the mathematical modelling in electromagnetism of continuous media. The authors provide a systematic review of known subjects along with many original …
The Fourth Janko Group
Inbunden, 2004
2994 kr
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This text illustrates how different methods of finite group theory including representation theory, cohomology theory, combinatorial group theory and local analysis are combined to construct one of the last of the sporadic finite simple groups - the fourth Janko group J_4.Aimed at graduates and …