Cambridge Tracts in Mathematics – serie
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240 produkter
Polycyclic Groups
Av Daniel Segal, Bela Bollobas m. fl.
Häftad, 2005
911 kr
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The theory of polycyclic groups is a branch of infinite group theory which has a rather different flavour from the rest of that subject. This book is a comprehensive account of the present state of this theory. As well as providing a connected and self-contained account of the group-theoretical …
Approximation by Algebraic Numbers
Av Yann Bugeaud
Häftad, 2007
1237 kr
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Algebraic numbers can approximate and classify any real number. Here, the author gathers together results about such approximations and classifications. Written for a broad audience, the book is accessible and self-contained, with complete and detailed proofs. Starting from continued fractions and …
An Introduction to Homotopy Theory
Av P. J. Hilton
Häftad, 1953
699 kr
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Since the introduction of homotopy groups by Hurewicz in 1935, homotopy theory has occupied a prominent place in the development of algebraic topology. This monograph provides an account of the subject which bridges the gap between the fundamental concepts of topology and the more complex treatment …
Ends of Complexes
Av Bruce Hughes, Andrew Ranicki
Häftad, 2008
908 kr
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The ends of a topological space are the directions in which it becomes non-compact by tending to infinity. The tame ends of manifolds are particularly interesting, both for their own sake, and for their use in the classification of high-dimensional compact manifolds. The book is devoted to the …
Algebraic L-theory and Topological Manifolds
Häftad, 2008
944 kr
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This book presents a definitive account of the applications of the algebraic L-theory to the surgery classification of topological manifolds. The central result is the identification of a manifold structure in the homotopy type of a Poincaré duality space with a local quadratic structure in the …
Introduction to Hp Spaces
Av Paul Koosis
Häftad, 2008
634 kr
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The first edition of this well known book was noted for its clear and accessible exposition of the basic theory of Hardy spaces from the concrete point of view (in the unit circle and the half plane). The intention was to give the reader, assumed to know basic real and complex variable theory and a …
The Riemann Approach to Integration
Local Geometric Theory
Häftad, 2008
976 kr
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This book presents a detailed and mostly elementary exposition of the generalised Riemann-Stieltjes integrals discovered by Henstock, Kurzweil, and McShane. Along with the classical results, it contains some recent developments connected with lipeomorphic change of variables and the divergence …
Sporadic Groups
Häftad, 2008
1041 kr
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Sporadic Groups is the first step in a programme to provide a uniform, self-contained treatment of the foundational material on the sporadic finite simple groups. The classification of the finite simple groups is one of the premier achievements of modern mathematics. The classification demonstrates …
Analysis on Fractals
Av Jun Kigami
Häftad, 2008
971 kr
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This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the …
Gaussian Hilbert Spaces
Häftad, 2008
1195 kr
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This book treats the very special and fundamental mathematical properties that hold for a family of Gaussian (or normal) random variables. Such random variables have many applications in probability theory, other parts of mathematics, statistics and theoretical physics. The emphasis throughout this …
Multivalent Functions
Av W. K. Hayman
Häftad, 2008
895 kr
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The class of multivalent functions is an important one in complex analysis. They occur for example in the proof of De Branges' theorem which, in 1985, settled the long-standing Bieberbach conjecture. The second edition of Professor Hayman's celebrated book contains a full and self-contained proof …
On L1-Approximation
Häftad, 2008
797 kr
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This monograph is concerned with the qualitative theory of best L1-approximation from finite-dimensional subspaces. It presents a survey of recent research that extends 'classical' results concerned with best uniform approximation to the L1 case. The work is organized in such a way as to be useful …
Spectral Theory of the Riemann Zeta-Function
Häftad, 2008
924 kr
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The Riemann zeta function is one of the most studied objects in mathematics, and is of fundamental importance. In this book, based on his own research, Professor Motohashi shows that the function is closely bound with automorphic forms and that many results from there can be woven with techniques …
Duality in Analytic Number Theory
Häftad, 2008
944 kr
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In this stimulating book, aimed at researchers both established and budding, Peter Elliott demonstrates a method and a motivating philosophy that combine to cohere a large part of analytic number theory, including the hitherto nebulous study of arithmetic functions. Besides its application, the …
Function Spaces, Entropy Numbers, Differential Operators
Häftad, 2008
927 kr
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The distribution of the eigenvalues of differential operators has long fascinated mathematicians. Advances have shed light upon classical problems in this area, and this book presents a fresh approach, largely based upon the results of the authors. The emphasis here is on a topic of central …
Birational Geometry of Algebraic Varieties
Av Janos Kollár, Shigefumi Mori
Häftad, 2008
944 kr
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One of the major discoveries of the last two decades of the twentieth century in algebraic geometry is the realization that the theory of minimal models of surfaces can be generalized to higher dimensional varieties. This generalization, called the minimal model program or Mori's program, has …
Random Walks on Infinite Graphs and Groups
Häftad, 2008
993 kr
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The main theme of this book is the interplay between the behaviour of a class of stochastic processes (random walks) and discrete structure theory. The author considers Markov chains whose state space is equipped with the structure of an infinite, locally finite graph, or as a particular case, of a …
Continuum Percolation
Häftad, 2008
911 kr
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Many phenomena in physics, chemistry, and biology can be modelled by spatial random processes. One such process is continuum percolation, which is used when the phenomenon being modelled is made up of individual events that overlap, for example, the way individual raindrops eventually make the …
Infinite Electrical Networks
Häftad, 2008
797 kr
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This book presents the salient features of the general theory of infinite electrical networks in a coherent exposition. Using the basic tools of functional analysis and graph theory, the author examines the fundamental developments in the field and discusses applications to other areas of …
Multiple Forcing
Av T. Jech
Häftad, 2010
667 kr
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In this 1987 text Professor Jech gives a unified treatment of the various forcing methods used in set theory, and presents their important applications. Product forcing, iterated forcing and proper forcing have proved powerful tools when studying the foundations of mathematics, for instance in …
Affine Differential Geometry
Geometry of Affine Immersions
Av Katsumi Nomizu, Takeshi Sasaki
Häftad, 2008
924 kr
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This is a self-contained and systematic account of affine differential geometry from a contemporary view, not only covering the classical theory, but also introducing more modern developments. In order both to cover as much as possible and to keep the text of a reasonable size, the authors have …
Bipartite Graphs and their Applications
Av Armen S. Asratian, Tristan M. J. Denley m. fl.
Häftad, 2008
908 kr
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Bipartite graphs are perhaps the most basic of objects in graph theory, both from a theoretical and practical point of view. However, sometimes they have been considered only as a special class in some wider context. This book deals solely with bipartite graphs. Together with traditional material, …
Multiplicities and Chern Classes in Local Algebra
Häftad, 2008
878 kr
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The theory of local Chern characters used in commutative algebra originated in topology some years ago, and from there was introduced in algebraic geometry. This book describes the theory in an algebraic setting, presenting research results and important algebraic applications, some of which come …
Some Applications of Modular Forms
Av Peter Sarnak
Häftad, 2008
716 kr
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The theory of modular forms and especially the so-called 'Ramanujan Conjectures' have been applied to resolve problems in combinatorics, computer science, analysis and number theory. This tract, based on the Wittemore Lectures given at Yale University, is concerned with describing some of these …
Spectral Decomposition and Eisenstein Series
A Paraphrase of the Scriptures
Av C. Moeglin, J. L. Waldspurger
Häftad, 2008
1221 kr
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The decomposition of the space L2(G(Q)\G(A)), where G is a reductive group defined over Q and A is the ring of adeles of Q, is a deep problem at the intersection of number and group theory. Langlands reduced this decomposition to that of the (smaller) spaces of cuspidal automorphic forms for …
Duality and Perturbation Methods in Critical Point Theory
Av N. Ghoussoub
Häftad, 2008
976 kr
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The calculus of variations has been an active area of mathematics for over 300 years. Its main use is to find stable critical points of functions for the solution of problems. To find unstable values, new approaches (Morse theory and min-max methods) were developed, and these are still being …
Automorphic Forms on SL2 (R)
Av Armand Borel
Häftad, 2008
927 kr
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This book provides an introduction to some aspects of the analytic theory of automorphic forms on G=SL2(R) or the upper-half plane X, with respect to a discrete subgroup G of G of finite covolume. The point of view is inspired by the theory of infinite dimensional unitary representations of G; this …
Analysis and Geometry on Groups
Av Nicholas T. Varopoulos, L. Saloff-Coste m. fl.
Häftad, 2008
796 kr
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The geometry and analysis that is discussed in this book extends to classical results for general discrete or Lie groups, and the methods used are analytical but have little to do with what is described these days as real analysis. Most of the results described in this book have a dual formulation; …
Fibrewise Topology
Av I. M. James
Häftad, 2008
699 kr
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The aim of this book is to promote a fibrewise perspective, particularly in topology, which is central to modern mathematics. Already this view is standard in the theory of fibre bundles and therefore in such subjects as global analysis. It has a role to play also in general and equivariant …
Consequences of Martin's Axiom
Häftad, 2008
944 kr
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'Martin's axiom' is one of the most fruitful axioms which have been devised to show that certain properties are insoluble in standard set theory. It has important 1applications m set theory, infinitary combinatorics, general topology, measure theory, functional analysis and group theory. In this …