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An Introduction To Noncommutative Differential Geometry And Its Physical Applications


An Introduction To Noncommutative Differential Geometry And Its Physical Applications
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An Introduction To Noncommutative Differential Geometry And Its Physical Applications


An Introduction To Noncommutative Differential Geometry And Its Physical Applications
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Author : J. Madore
language : en
Publisher: Cambridge University Press
Release Date : 1999-06-24

An Introduction To Noncommutative Differential Geometry And Its Physical Applications written by J. Madore and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-06-24 with Mathematics categories.


A thoroughly revised introduction to non-commutative geometry.



An Introduction To Noncommutative Spaces And Their Geometries


An Introduction To Noncommutative Spaces And Their Geometries
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Author : Giovanni Landi
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-01

An Introduction To Noncommutative Spaces And Their Geometries written by Giovanni Landi and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-01 with Science categories.


These lecture notes are an introduction to several ideas and applications of noncommutative geometry. It starts with a not necessarily commutative but associative algebra which is thought of as the algebra of functions on some 'virtual noncommutative space'. Attention is switched from spaces, which in general do not even exist, to algebras of functions. In these notes, particular emphasis is put on seeing noncommutative spaces as concrete spaces, namely as a collection of points with a topology. The necessary mathematical tools are presented in a systematic and accessible way and include among other things, C'*-algebras, module theory and K-theory, spectral calculus, forms and connection theory. Application to Yang--Mills, fermionic, and gravity models are described. Also the spectral action and the related invariance under automorphism of the algebra is illustrated. Some recent work on noncommutative lattices is presented. These lattices arose as topologically nontrivial approximations to 'contuinuum' topological spaces. They have been used to construct quantum-mechanical and field-theory models, alternative models to lattice gauge theory, with nontrivial topological content. This book will be essential to physicists and mathematicians with an interest in noncommutative geometry and its uses in physics.



Surveys In Geometry And Number Theory


Surveys In Geometry And Number Theory
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Author : Nicholas Young
language : en
Publisher: Cambridge University Press
Release Date : 2007-01-18

Surveys In Geometry And Number Theory written by Nicholas Young and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-18 with Mathematics categories.


A collection of survey articles by leading young researchers, showcasing the vitality of Russian mathematics.



Geometry And Integrability


Geometry And Integrability
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Author : Lionel Mason
language : en
Publisher: Cambridge University Press
Release Date : 2003-11-20

Geometry And Integrability written by Lionel Mason and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-11-20 with Mathematics categories.


Most integrable systems owe their origin to problems in geometry and they are best understood in a geometrical context. This is especially true today when the heroic days of KdV-type integrability are over. Problems that can be solved using the inverse scattering transformation have reached the point of diminishing returns. Two major techniques have emerged for dealing with multi-dimensional integrable systems: twistor theory and the d-bar method, both of which form the subject of this book. It is intended to be an introduction, though by no means an elementary one, to current research on integrable systems in the framework of differential geometry and algebraic geometry. This book arose from a seminar, held at the Feza Gursey Institute, to introduce advanced graduate students to this area of research. The articles are all written by leading researchers and are designed to introduce the reader to contemporary research topics.



Frontiers Of Particle Physics


Frontiers Of Particle Physics
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Author : A. I. Studenikin
language : en
Publisher: World Scientific
Release Date : 2003

Frontiers Of Particle Physics written by A. I. Studenikin and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Science categories.


This volume of proceedings deals with a wide variety of topics OCo both in theory and in experiment OCo in particle physics, such as electroweak theory, tests of the Standard Model and beyond, heavy quark physics, nonperturbative QCD, neutrino physics, astroparticle physics, quantum gravity effects, and physics at the future accelerators."



Characters And Blocks Of Finite Groups


Characters And Blocks Of Finite Groups
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Author : Gabriel Navarro
language : en
Publisher: Cambridge University Press
Release Date : 1998-05-07

Characters And Blocks Of Finite Groups written by Gabriel Navarro and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-07 with Mathematics categories.


This is a clear, accessible and up-to-date exposition of modular representation theory of finite groups from a character-theoretic viewpoint. After a short review of the necessary background material, the early chapters introduce Brauer characters and blocks and develop their basic properties. The next three chapters study and prove Brauer's first, second and third main theorems in turn. These results are then applied to prove a major application of finite groups, the Glauberman Z*-theorem. Later chapters examine Brauer characters in more detail. The relationship between blocks and normal subgroups is also explored and the modular characters and blocks in p-solvable groups are discussed. Finally, the character theory of groups with a Sylow p-subgroup of order p is studied. Each chapter concludes with a set of problems. The book is aimed at graduate students, with some previous knowledge of ordinary character theory, and researchers studying the representation theory of finite groups.



Sweeping Subnets Saddle Maps And Complex Analysis


Sweeping Subnets Saddle Maps And Complex Analysis
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Author : Yeshuason
language : en
Publisher: Yeshuason
Release Date : 2024-11-04

Sweeping Subnets Saddle Maps And Complex Analysis written by Yeshuason and has been published by Yeshuason this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-11-04 with Mathematics categories.


These involved theorems on sweeping nets, saddle maps and complex analysis are a thorough examination of the method an its fundamental mechanics. The basic foundation of this analytical method is useful to any artificer of mechanical programs or development of software applications that involve computer vision or graphics. These methods will have application to further theories and methods in string theory and cosmology or even approximation of environmental factors for machine learning. Sweeping Subnets, Saddle Maps, and Complex Analysis Formalizing Mechanical Analysis of Sweeping Nets I Formalizing Mechanical Analysis of Sweeping Nets II Generalizations of Sweeping Nets in Higher Dimensions Formalizing Mechanical Analysis of Sweeping Nets III Formalizing Mechanical Analysis of Sweeping Nets IV Analyzing Zeros of the Riemann Zeta Function Using Sweeping Net Methods Proof of Riemann Hypothesis Using Set Theoretic and Sweeping Net Methods Conjecture on Perfect Numbers Integration of Tensor Fields with Angular Components: An Analytical and Computational Study Optimization Paths for Energy Numbers Cone Formation from Circle Folding: A Comprehensive Analysis Di-Cones Defining π via Infinite Densification of the Sweeping Net and Reverse Integration Non-Commutative Scalar Fields Generalized Theory of Group Integration Math of Ghosts, Phantoms Fractal Morphisms and the World Sheet Fractals Hypersphere



Stable Groups


Stable Groups
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Author : Frank Olaf Wagner
language : en
Publisher: Cambridge University Press
Release Date : 1997-08-21

Stable Groups written by Frank Olaf Wagner and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-08-21 with Mathematics categories.


In this book the general theory of stable groups is developed from the beginning.



Connections In Classical And Quantum Field Theory


Connections In Classical And Quantum Field Theory
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Author : L. Mangiarotti
language : en
Publisher: World Scientific
Release Date : 2000

Connections In Classical And Quantum Field Theory written by L. Mangiarotti and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Science categories.


Geometrical notions and methods play an important role in both classical and quantum field theory, and a connection is a deep structure which apparently underlies the gauge-theoretical models in field theory and mechanics. This book is an encyclopaedia of modern geometric methods in theoretical physics. It collects together the basic mathematical facts about various types of connections, and provides a detailed exposition of relevant physical applications. It discusses the modern issues concerning the gauge theories of fundamental fields. The authors have tried to give all the necessary mathematical background, thus making the book self-contained.This book should be useful to graduate students, physicists and mathematicians who are interested in the issue of deep interrelations between theoretical physics and geometry.



Surveys In Combinatorics 1997


Surveys In Combinatorics 1997
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Author : Rosemary Bailey
language : en
Publisher: Cambridge University Press
Release Date : 1997

Surveys In Combinatorics 1997 written by Rosemary Bailey and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997 with Analyse combinatoire categories.


The invited lectures given at the 16th. British Combinatorial Conference, July 1997 at Queen Mary and Westfield College.