Stopping Times And Directed Processes
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Stopping Times And Directed Processes
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Author : Gerald A. Edgar
language : en
Publisher: Cambridge University Press
Release Date : 1992-08-28
Stopping Times And Directed Processes written by Gerald A. Edgar 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 1992-08-28 with Mathematics categories.
A unified treatment of the theory of 'stopping times' for probability theorists and statisticians.
An Algebraic Introduction To K Theory
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Author : Bruce A. Magurn
language : en
Publisher: Cambridge University Press
Release Date : 2002-05-20
An Algebraic Introduction To K Theory written by Bruce A. Magurn 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 2002-05-20 with Mathematics categories.
This is an introduction to algebraic K-theory with no prerequisite beyond a first semester of algebra (including Galois theory and modules over a principal ideal domain). The presentation is almost entirely self-contained, and is divided into short sections with exercises to reinforce the ideas and suggest further lines of inquiry. No experience with analysis, geometry, number theory or topology is assumed. Within the context of linear algebra, K-theory organises and clarifies the relations among ideal class groups, group representations, quadratic forms, dimensions of a ring, determinants, quadratic reciprocity and Brauer groups of fields. By including introductions to standard algebra topics (tensor products, localisation, Jacobson radical, chain conditions, Dedekind domains, semi-simple rings, exterior algebras), the author makes algebraic K-theory accessible to first-year graduate students and other mathematically sophisticated readers. Even if your algebra is rusty, you can read this book; the necessary background is here, with proofs.
The Classical Fields
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Author : H. Salzmann
language : en
Publisher: Cambridge University Press
Release Date : 2007-08-23
The Classical Fields written by H. Salzmann 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 2007-08-23 with Mathematics categories.
The real, rational, complex and p-adic numbers are discussed in detail in this comprehensive work.
Banach Algebras And The General Theory Of Algebras Volume 2 Algebras
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Author : Theodore W. Palmer
language : en
Publisher: Cambridge University Press
Release Date : 1994
Banach Algebras And The General Theory Of Algebras Volume 2 Algebras written by Theodore W. Palmer 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 1994 with Mathematics categories.
This is the second volume of a two-volume set that provides a modern account of basic Banach algebra theory including all known results on general Banach *-algebras. The author emphasizes the roles of *-algebra structure and explores the algebraic results which underlie the theory of Banach algebras and *-algebras. Proofs are presented in complete detail at a level accessible to graduate students. The books will become the standard reference for the general theory of *-algebras. This second volume deals with *-algebras. Chapter 9 develops the theory of *-algebras without additional restrictions. Chapter 10 proves nearly all the results previously known for Banach *-algebras and hermitian Banach *-algebras for *-algebras with various essentially algebraic restrictions. Chapter 11 restates the previous results in terms of Banach *-algebras and uses them to prove results explicitly involving the complete norm. Chapter 12 is devoted to locally compact groups and the *-algebras related to them.
The Mountain Pass Theorem
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Author : Youssef Jabri
language : en
Publisher: Cambridge University Press
Release Date : 2003-09-15
The Mountain Pass Theorem written by Youssef Jabri 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 2003-09-15 with Mathematics categories.
This 2003 book presents min-max methods through a study of the different faces of the celebrated Mountain Pass Theorem (MPT) of Ambrosetti and Rabinowitz. The reader is led from the most accessible results to the forefront of the theory, and at each step in this walk between the hills, the author presents the extensions and variants of the MPT in a complete and unified way. Coverage includes standard topics, but it also covers other topics covered nowhere else in book form: the non-smooth MPT; the geometrically constrained MPT; numerical approaches to the MPT; and even more exotic variants. Each chapter has a section with supplementary comments and bibliographical notes, and there is a rich bibliography and a detailed index to aid the reader. The book is suitable for researchers and graduate students. Nevertheless, the style and the choice of the material make it accessible to all newcomers to the field.
Large Deviations And Metastability
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Author : Enzo Olivieri
language : en
Publisher: Cambridge University Press
Release Date : 2005-02-21
Large Deviations And Metastability written by Enzo Olivieri 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 2005-02-21 with Mathematics categories.
The book provides a general introduction to the theory of large deviations and a wide overview of the metastable behaviour of stochastic dynamics. With only minimal prerequisites, the book covers all the main results and brings the reader to the most recent developments. Particular emphasis is given to the fundamental Freidlin-Wentzell results on small random perturbations of dynamical systems. Metastability is first described on physical grounds, following which more rigorous approaches to its description are developed. Many relevant examples are considered from the point of view of the so-called pathwise approach. The first part of the book develops the relevant tools including the theory of large deviations which are then used to provide a physically relevant dynamical description of metastability. Written to be accessible to graduate students, this book provides an excellent route into contemporary research.
Mathematical Constants
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Author : Steven R. Finch
language : en
Publisher: Cambridge University Press
Release Date : 2003-08-18
Mathematical Constants written by Steven R. Finch 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 2003-08-18 with Mathematics categories.
Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of constants, from the well known to the highly exotic. This book is helpful both to readers seeking information about a specific constant, and to readers who desire a panoramic view of all constants coming from a particular field, for example, combinatorial enumeration or geometric optimization. Unsolved problems appear virtually everywhere as well. This work represents an outstanding scholarly attempt to bring together all significant mathematical constants in one place.
Navier Stokes Equations And Turbulence
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Author : C. Foias
language : en
Publisher: Cambridge University Press
Release Date : 2001-08-27
Navier Stokes Equations And Turbulence written by C. Foias 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 2001-08-27 with Science categories.
This book presents the mathematical theory of turbulence to engineers and physicists, and the physical theory of turbulence to mathematicians. The mathematical technicalities are kept to a minimum within the book, enabling the language to be at a level understood by a broad audience.
Symmetric Generation Of Groups
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Author : Robert Curtis
language : en
Publisher: Cambridge University Press
Release Date : 2007-07-05
Symmetric Generation Of Groups written by Robert Curtis 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 2007-07-05 with Mathematics categories.
Comprehensive text which develops the notion of symmetric generation and applies the technique to sporadic simple groups.
Solving Polynomial Equation Systems Ii
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Author : Teo Mora
language : en
Publisher: Cambridge University Press
Release Date : 2003
Solving Polynomial Equation Systems Ii written by Teo Mora 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 with Mathematics categories.
The second volume of this comprehensive treatise focusses on Buchberger theory and its application to the algorithmic view of commutative algebra. In distinction to other works, the presentation here is based on the intrinsic linear algebra structure of Groebner bases, and thus elementary considerations lead easily to the state-of-the-art in issues of implementation. Aiming to be a complete survey on Groebner bases and their applications, the book will be essential for all workers in commutative algebra, computational algebra and algebraic geometry.