New Mathematical Monographs – serie
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58 produkter
Heights in Diophantine Geometry
Av Enrico Bombieri, Walter Gubler
Häftad, 2007
1188 kr
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Diophantine geometry has been studied by number theorists for thousands of years, since the time of Pythagoras, and has continued to be a rich area of ideas such as Fermat's Last Theorem, and most recently the ABC conjecture. This monograph is a bridge between the classical theory and modern …
Harmonic Measure
Av John B. Garnett, Donald E. Marshall
Inbunden, 2005
2834 kr
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During the last two decades several remarkable new results were discovered about harmonic measure in the complex plane. This book provides a careful survey of these results and an introduction to the branch of analysis which contains them. Many of these results, due to Bishop, Carleson, Jones, …
Lectures on Algebraic Cycles
Inbunden, 2010
1139 kr
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Spencer Bloch's 1979 Duke lectures, a milestone in modern mathematics, have been out of print almost since their first publication in 1980, yet they have remained influential and are still the best place to learn the guiding philosophy of algebraic cycles and motives. This edition, now …
Monopoles and Three-Manifolds
Av Peter Kronheimer, Tomasz Mrowka
Häftad, 2010
1242 kr
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Originating with Andreas Floer in the 1980s, Floer homology has proved to be an effective tool in tackling many important problems in three- and four-dimensional geometry and topology. This 2007 book provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole …
Homotopy Theory of Higher Categories
From Segal Categories to n-Categories and Beyond
Inbunden, 2011
1384 kr
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The study of higher categories is attracting growing interest for its many applications in topology, algebraic geometry, mathematical physics and category theory. In this highly readable book, Carlos Simpson develops a full set of homotopical algebra techniques and proposes a working theory of …
Harmonic Measure
Av John B. Garnett, Donald E. Marshall
Häftad, 2008
1244 kr
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During the last two decades several remarkable new results were discovered about harmonic measure in the complex plane. This book provides a careful survey of these results and an introduction to the branch of analysis which contains them. Many of these results, due to Bishop, Carleson, Jones, …
Directed Algebraic Topology
Models of Non-Reversible Worlds
Inbunden, 2009
2312 kr
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This is the first authored book to be dedicated to the new field of directed algebraic topology that arose in the 1990s, in homotopy theory and in the theory of concurrent processes. Its general aim can be stated as 'modelling non-reversible phenomena' and its domain should be distinguished from …
Algebraic Methods in Unstable Homotopy Theory
Inbunden, 2010
2834 kr
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The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which are needed in the presentation of results, proven by Cohen, Moore, and the author, on the exponents of homotopy groups. The author introduces various aspects of …
Complex Multiplication
Inbunden, 2010
2312 kr
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This is a self-contained 2010 account of the state of the art in classical complex multiplication that includes recent results on rings of integers and applications to cryptography using elliptic curves. The author is exhaustive in his treatment, giving a thorough development of the theory of …
Combinatorics of Symmetric Designs
Av Yury J. Ionin, Mohan S. Shrikhande
Inbunden, 2006
2700 kr
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The aim of this book is to provide a unified exposition of the theory of symmetric designs with emphasis on recent developments. The authors cover the combinatorial aspects of the theory giving particular attention to the construction of symmetric designs and related objects. The last five chapters …
Representation Theory of Finite Reductive Groups
Av Marc Cabanes, Michel Enguehard m. fl.
Inbunden, 2004
2524 kr
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At the crossroads of representation theory, algebraic geometry and finite group theory, this 2004 book blends together many of the main concerns of modern algebra, with full proofs of some of the most remarkable achievements in the area. Cabanes and Enguehard follow three main themes: first, …
Symmetrization in Analysis
Inbunden, 2019
2524 kr
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Symmetrization is a rich area of mathematical analysis whose history reaches back to antiquity. This book presents many aspects of the theory, including symmetric decreasing rearrangement and circular and Steiner symmetrization in Euclidean spaces, spheres and hyperbolic spaces. Many energies, …
Hilbert's Tenth Problem
Diophantine Classes and Extensions to Global Fields
Inbunden, 2006
1987 kr
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In the late sixties Matiyasevich, building on the work of Davis, Putnam and Robinson, showed that there was no algorithm to determine whether a polynomial equation in several variables and with integer coefficients has integer solutions. Hilbert gave finding such an algorithm as problem number ten …
Free Ideal Rings and Localization in General Rings
Av P. M. Cohn
Inbunden, 2006
2834 kr
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Proving that a polynomial ring in one variable over a field is a principal ideal domain can be done by means of the Euclidean algorithm, but this does not extend to more variables. However, if the variables are not allowed to commute, giving a free associative algebra, then there is a …
An Introduction to Involutive Structures
Av Shiferaw Berhanu, Paulo D. Cordaro m. fl.
Inbunden, 2008
2312 kr
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Detailing the main methods in the theory of involutive systems of complex vector fields this book examines the major results from the last twenty five years in the subject. One of the key tools of the subject - the Baouendi-Treves approximation theorem - is proved for many function spaces. This in …
Monopoles and Three-Manifolds
Av Peter Kronheimer, Tomasz Mrowka
Inbunden, 2007
3235 kr
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Originating with Andreas Floer in the 1980s, Floer homology has proved to be an effective tool in tackling many important problems in three- and four-dimensional geometry and topology. This 2007 book provides a comprehensive treatment of Floer homology, based on the Seiberg-Witten monopole …
Logarithmic Forms and Diophantine Geometry
Inbunden, 2008
1856 kr
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There is now much interplay between studies on logarithmic forms and deep aspects of arithmetic algebraic geometry. New light has been shed, for instance, on the famous conjectures of Tate and Shafarevich relating to abelian varieties and the associated celebrated discoveries of Faltings …
Kazhdan's Property (T)
Av Bachir Bekka, Pierre de la de la Harpe m. fl.
Inbunden, 2008
2524 kr
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Property (T) is a rigidity property for topological groups, first formulated by D. Kazhdan in the mid 1960's with the aim of demonstrating that a large class of lattices are finitely generated. Later developments have shown that Property (T) plays an important role in an amazingly large variety of …
Entropy in Dynamical Systems
Inbunden, 2011
1465 kr
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This comprehensive text on entropy covers three major types of dynamics: measure preserving transformations; continuous maps on compact spaces; and operators on function spaces. Part I contains proofs of the Shannon-McMillan-Breiman Theorem, the Ornstein-Weiss Return Time Theorem, the Krieger …
Meromorphic Dynamics: Volume 1
Abstract Ergodic Theory, Geometry, Graph Directed Markov Systems, and Conformal Measures
Av Janina Kotus, Mariusz Urbański
Inbunden, 2023
1715 kr
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This text, the first of two volumes, provides a comprehensive and self-contained introduction to a wide range of fundamental results from ergodic theory and geometric measure theory. Topics covered include: finite and infinite abstract ergodic theory, Young's towers, measure-theoretic …
Meromorphic Dynamics: Volume 2
Elliptic Functions with an Introduction to the Dynamics of Meromorphic Functions
Av Janina Kotus, Mariusz Urbański
Inbunden, 2023
1905 kr
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This text, the second of two volumes, builds on the foundational material on ergodic theory and geometric measure theory provided in Volume I, and applies all the techniques discussed to describe the beautiful and rich dynamics of elliptic functions. The text begins with an introduction to …
A Primer, and Beyond, on Composition Operators on the Unit Disk
Av Pascal Lefèvre, Hervé Queffélec
Inbunden, 2026
2133 kr
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This is a contemporary treatment of composition operators on Banach spaces of analytic functions in one complex variable. It provides a step-by-step introduction, starting with a review (including full proofs) of the key tools needed, and building the theory with a focus on Hardy and Bergman …
Albert Algebras over Commutative Rings
The Last Frontier of Jordan Systems
Av Skip Garibaldi, Holger P. Petersson m. fl.
Inbunden, 2024
2541 kr
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Albert algebras provide key tools for understanding exceptional groups and related structures such as symmetric spaces. This self-contained book provides the first comprehensive reference on Albert algebras over fields without any restrictions on the characteristic of the field. As well as covering …
The Local Theta Correspondence
Av Wee Teck Gan, Stephen S. Kudla m. fl.
Inbunden, 2027
2146 kr
Kommande
Progressing from foundational material to the latest developments, this text provides a definitive treatment of the local theta correspondence over p-adic fields. Bringing together material currently spread throughout the literature, it delves into topics such as the Weil representation, the …
K-stability of Fano Varieties
Av Chenyang Xu
Inbunden, 2025
2052 kr
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The K-stability of Fano varieties has been a major area of research over the last decade, ever since the Yau-Tian-Donaldson conjecture was resolved. This is the first book to give a comprehensive algebraic treatment of this emerging field. It introduces all the notions of K-stability that have been …
Markov Chains with Asymptotically Zero Drift
Lamperti's Problem
Av Denis Denisov, Dmitry Korshunov m. fl.
Inbunden, 2025
1970 kr
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This text examines Markov chains whose drift tends to zero at infinity, a topic sometimes labelled as 'Lamperti's problem'. It can be considered a subcategory of random walks, which are helpful in studying stochastic models like branching processes and queueing systems. Drawing on Doob's …
Ramification Groups of Local Fields
with Geometric Applications
Inbunden, 2026
2296 kr
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Ramification groups of local fields are essential tools for studying boundary behaviour in geometric objects and the degeneration of Galois representations. This book presents a comprehensive development of the recently established theory of upper ramification groups of local fields with imperfect …
The Selberg Class of L-Functions
Av Jerzy Kaczorowski, Alberto Perelli
Inbunden, 2027
1861 kr
Kommande
The study of L-functions has become a major theme in modern number theory. The Selberg class arose as an attempt to capture the properties of L-functions, encouraging the study of properties of the class rather than of individual functions. Written by two experts in the field, this book surveys the …
Differential Geometry of Singular Spaces and Reduction of Symmetry
Inbunden, 2013
2152 kr
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In this book the author illustrates the power of the theory of subcartesian differential spaces for investigating spaces with singularities. Part I gives a detailed and comprehensive presentation of the theory of differential spaces, including integration of distributions on subcartesian spaces and …
The Theory of H(b) Spaces: Volume 1
Av Emmanuel Fricain, Javad Mashreghi
Inbunden, 2016
3029 kr
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An H(b) space is defined as a collection of analytic functions which are in the image of an operator. The theory of H(b) spaces bridges two classical subjects: complex analysis and operator theory, which makes it both appealing and demanding. The first volume of this comprehensive treatment is …
