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Foliations Geometry And Dynamics Proceedings Of The Euroworkshop
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Book Synopsis Foliations: Geometry And Dynamics - Proceedings Of The Euroworkshop by : Lawrence Conlon
Download or read book Foliations: Geometry And Dynamics - Proceedings Of The Euroworkshop written by Lawrence Conlon and published by World Scientific. This book was released on 2002-02-01 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains surveys and research articles regarding different aspects of the theory of foliation. The main aspects concern the topology of foliations of low-dimensional manifolds, the geometry of foliated Riemannian manifolds and the dynamical properties of foliations. Among the surveys are lecture notes devoted to the analysis of some operator algebras on foliated manifolds and the theory of confoliations (objects defined recently by W Thurston and Y Eliashberg, situated between foliations and contact structures). Among the research articles one can find a detailed proof of an unpublished theorem (due to Duminy) concerning ends of leaves in exceptional minimal sets.
Book Synopsis Proceedings of the Euroworkshop on Foliations Geometry and Dynamics, 29 May-9 June 2000, Warsaw, Poland by : Pawe? Grzegorz Walczak
Download or read book Proceedings of the Euroworkshop on Foliations Geometry and Dynamics, 29 May-9 June 2000, Warsaw, Poland written by Pawe? Grzegorz Walczak and published by World Scientific. This book was released on 2002 with total page 462 pages. Available in PDF, EPUB and Kindle. Book excerpt: Contains surveys and research articles regarding different aspects of the theory of foliation.
Book Synopsis Proceedings of the Euroworkshop on Foliations Geometry and Dynamics by : Paweł Grzegorz Walczak
Download or read book Proceedings of the Euroworkshop on Foliations Geometry and Dynamics written by Paweł Grzegorz Walczak and published by . This book was released on 2002 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Printbegrænsninger: Der kan printes 10 sider ad gangen og max. 40 sider pr. session.
Download or read book Foliations II written by Alberto Candel and published by American Mathematical Soc.. This book was released on 2000 with total page 562 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of two volumes on foliations (the first is Volume 23 of this series). In this volume, three specialized topics are treated: analysis on foliated spaces, characteristic classes of foliations, and foliated three-manifolds. Each of these topics represents deep interaction between foliation theory and another highly developed area of mathematics. In each case, the goal is to provide students and other interested people with a substantial introduction to the topic leading to further study using the extensive available literature.
Book Synopsis Hilbert C*-modules by : Vladimir Markovich Manuĭlov
Download or read book Hilbert C*-modules written by Vladimir Markovich Manuĭlov and published by American Mathematical Soc.. This book was released on with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on lectures delivered by the authors at Moscow State University, this volume presents a detailed introduction to the theory of Hilbert $C*$-modules. Hilbert $C*$-modules provide a natural generalization of Hilbert spaces arising when the field of scalars $\mathbf{C $ is replaced by an arbitrary $C*$-algebra. The general theory of Hilbert $C*$-modules appeared more than 30 years ago in the pioneering papers of W. Paschke and M. Rieffel and has proved to be a powerful tool inoperator algebras theory, index theory of elliptic operators, $K$- and $KK$-theory, and in noncommutative geometry as a whole. Alongside these applications, the theory of Hilbert $C*$-modules is interesting on its own. In this book, the authors explain in detail the basic notions and results of thetheory, and provide a number of important examples. Some results related to the authors' research interests are also included. A large part of the book is devoted to structural results (self-duality, reflexivity) and to nonadjointable operators. Most of the book can be read with only a basic knowledge of functional analysis; however, some experience in the theory of operator algebras makes reading easier.
Download or read book Mathematical Reviews written by and published by . This book was released on 2002 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Large Deviations by : Jean-Dominique Deuschel
Download or read book Large Deviations written by Jean-Dominique Deuschel and published by American Mathematical Soc.. This book was released on 2001 with total page 298 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second printing of the book first published in 1988. The first four chapters of the volume are based on lectures given by Stroock at MIT in 1987. They form an introduction to the basic ideas of the theory of large deviations and make a suitable package on which to base a semester-length course for advanced graduate students with a strong background in analysis and some probability theory. A large selection of exercises presents important material and many applications. The last two chapters present various non-uniform results (Chapter 5) and outline the analytic approach that allows one to test and compare techniques used in previous chapters (Chapter 6).
Book Synopsis Freedom's Main Line by : Derek Charles Catsam
Download or read book Freedom's Main Line written by Derek Charles Catsam and published by University Press of Kentucky. This book was released on 2009-01-23 with total page 373 pages. Available in PDF, EPUB and Kindle. Book excerpt: “A compelling, spellbinding examination of a pivotal event in civil rights history . . . a highly readable and dramatic account of a major turning point.” —Journal of African-American History Black Americans in the Jim Crow South could not escape the grim reality of racial segregation, whether enforced by law or by custom. In Freedom’s Main Line: The Journey of Reconciliation and the Freedom Rides, author Derek Charles Catsam shows that courtrooms, classrooms, and cemeteries were not the only front lines in African Americans’ prolonged struggle for basic civil rights. Buses, trains, and other modes of public transportation provided the perfect means for civil rights activists to protest the second-class citizenship of African Americans, bringing the reality of the violence of segregation into the consciousness of America and the world. Freedom’s Main Line argues that the Freedom Rides, a turning point in the Civil Rights Movement, were a logical, natural evolution of such earlier efforts as the Journey of Reconciliation, relying on the principles of nonviolence so common in the larger movement. The impact of the Freedom Rides, however, was unprecedented, fixing the issue of civil rights in the national consciousness. Later activists were often dubbed Freedom Riders even if they never set foot on a bus. With challenges to segregated transportation as his point of departure, Catsam chronicles black Americans’ long journey toward increased civil rights. Freedom’s Main Line tells the story of bold incursions into the heart of institutional discrimination, journeys undertaken by heroic individuals who forced racial injustice into the national and international spotlight and helped pave the way for the landmark Civil Rights Act of 1964.
Download or read book Godel written by John L. Casti and published by . This book was released on 2009-04-21 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Kurt Gödel was an intellectual giant. His Incompleteness Theorem turned not only mathematics but also the whole world of science and philosophy on its head. Shattering hopes that logic would, in the end, allow us a complete understanding of the universe, Gödel's theorem also raised many provocative questions: What are the limits of rational thought? Can we ever fully understand the machines we build? Or the inner workings of our own minds? How should mathematicians proceed in the absence of complete certainty about their results? Equally legendary were Gödel's eccentricities, his close friendship with Albert Einstein, and his paranoid fear of germs that eventually led to his death from self-starvation. Now, in the first book for a general audience on this strange and brilliant thinker, John Casti and Werner DePauli bring the legend to life.
Book Synopsis Cohomological Theory of Dynamical Zeta Functions by : Andreas Juhl
Download or read book Cohomological Theory of Dynamical Zeta Functions written by Andreas Juhl and published by Birkhäuser. This book was released on 2012-12-06 with total page 712 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamical zeta functions are associated to dynamical systems with a countable set of periodic orbits. The dynamical zeta functions of the geodesic flow of lo cally symmetric spaces of rank one are known also as the generalized Selberg zeta functions. The present book is concerned with these zeta functions from a cohomological point of view. Originally, the Selberg zeta function appeared in the spectral theory of automorphic forms and were suggested by an analogy between Weil's explicit formula for the Riemann zeta function and Selberg's trace formula ([261]). The purpose of the cohomological theory is to understand the analytical properties of the zeta functions on the basis of suitable analogs of the Lefschetz fixed point formula in which periodic orbits of the geodesic flow take the place of fixed points. This approach is parallel to Weil's idea to analyze the zeta functions of pro jective algebraic varieties over finite fields on the basis of suitable versions of the Lefschetz fixed point formula. The Lefschetz formula formalism shows that the divisors of the rational Hassc-Wcil zeta functions are determined by the spectra of Frobenius operators on l-adic cohomology.
Book Synopsis Linear Algebra and Differential Equations by : Alexander Givental
Download or read book Linear Algebra and Differential Equations written by Alexander Givental and published by American Mathematical Soc.. This book was released on 2001 with total page 150 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material presented in this book corresponds to a semester-long course, ``Linear Algebra and Differential Equations'', taught to sophomore students at UC Berkeley. In contrast with typical undergraduate texts, the book offers a unifying point of view on the subject, namely that linear algebra solves several clearly-posed classification problems about such geometric objects as quadratic forms and linear transformations. This attractive viewpoint on the classical theory agrees well with modern tendencies in advanced mathematics and is shared by many research mathematicians. However, the idea of classification seldom finds its way to basic programs in mathematics, and is usually unfamiliar to undergraduates. To meet the challenge, the book first guides the reader through the entire agenda of linear algebra in the elementary environment of two-dimensional geometry, and prior to spelling out the general idea and employing it in higher dimensions, shows how it works in applications such as linear ODE systems or stability of equilibria. Appropriate as a text for regular junior and honors sophomore level college classes, the book is accessible to high school students familiar with basic calculus, and can also be useful to engineering graduate students.
Book Synopsis Lie Algebras of Bounded Operators by : Daniel Beltita
Download or read book Lie Algebras of Bounded Operators written by Daniel Beltita and published by Springer Science & Business Media. This book was released on 2001-04-01 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: In several proofs from the theory of finite-dimensional Lie algebras, an essential contribution comes from the Jordan canonical structure of linear maps acting on finite-dimensional vector spaces. On the other hand, there exist classical results concerning Lie algebras which advise us to use infinite-dimensional vector spaces as well. For example, the classical Lie Theorem asserts that all finite-dimensional irreducible representations of solvable Lie algebras are one-dimensional. Hence, from this point of view, the solvable Lie algebras cannot be distinguished from one another, that is, they cannot be classified. Even this example alone urges the infinite-dimensional vector spaces to appear on the stage. But the structure of linear maps on such a space is too little understood; for these linear maps one cannot speak about something like the Jordan canonical structure of matrices. Fortunately there exists a large class of linear maps on vector spaces of arbi trary dimension, having some common features with the matrices. We mean the bounded linear operators on a complex Banach space. Certain types of bounded operators (such as the Dunford spectral, Foia§ decomposable, scalar generalized or Colojoara spectral generalized operators) actually even enjoy a kind of Jordan decomposition theorem. One of the aims of the present book is to expound the most important results obtained until now by using bounded operators in the study of Lie algebras.
Book Synopsis Hermann Weyl’s Raum - Zeit - Materie and a General Introduction to His Scientific Work by : Erhard Scholz
Download or read book Hermann Weyl’s Raum - Zeit - Materie and a General Introduction to His Scientific Work written by Erhard Scholz and published by Springer Science & Business Media. This book was released on 2001-01-01 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Historical interest and studies of Weyl's role in the interplay between 20th-century mathematics, physics and philosophy have been increasing since the middle 1980s, triggered by different activities at the occasion of the centenary of his birth in 1985, and are far from being exhausted. The present book takes Weyl's "Raum - Zeit - Materie" (Space - Time - Matter) as center of concentration and starting field for a broader look at his work. The contributions in the first part of this volume discuss Weyl's deep involvement in relativity, cosmology and matter theories between the classical unified field theories and quantum physics from the perspective of a creative mind struggling against theories of nature restricted by the view of classical determinism. In the second part of this volume, a broad and detailed introduction is given to Weyl's work in the mathematical sciences in general and in philosophy. It covers the whole range of Weyl's mathematical and physical interests: real analysis, complex function theory and Riemann surfaces, elementary ergodic theory, foundations of mathematics, differential geometry, general relativity, Lie groups, quantum mechanics, and number theory.
Download or read book Logical Dilemmas written by John Dawson and published by A K Peters/CRC Press. This book was released on 2005-06-06 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: This authoritative biography of Kurt Goedel relates the life of this most important logician of our time to the development of the field. Goedel's seminal achievements that changed the perception and foundations of mathematics are explained in the context of his life from the turn of the century Austria to the Institute for Advanced Study in Princeton.
Book Synopsis Mathematical Olympiad Treasures by : Titu Andreescu
Download or read book Mathematical Olympiad Treasures written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2011-09-21 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Olympiad Treasures aims at building a bridge between ordinary high school exercises and more sophisticated, intricate and abstract concepts in undergraduate mathematics. The book contains a stimulating collection of problems in the subjects of algebra, geometry, trigonometry, number theory and combinatorics. While it may be considered a sequel to "Mathematical Olympiad Challenges," the focus is on engaging a wider audience to apply techniques and strategies to real-world problems. Throughout the book students are encouraged to express their ideas, conjectures, and conclusions in writing. The goal is to help readers develop a host of new mathematical tools that will be useful beyond the classroom and in a number of disciplines.
Book Synopsis The Schur Algorithm, Reproducing Kernel Spaces and System Theory by : Daniel Alpay
Download or read book The Schur Algorithm, Reproducing Kernel Spaces and System Theory written by Daniel Alpay and published by American Mathematical Soc.. This book was released on 2001 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: The class of Schur functions consists of analytic functions on the unit disk that are bounded by $1$. The Schur algorithm associates to any such function a sequence of complex constants, which is much more useful than the Taylor coefficients. There is a generalization to matrix-valued functions and a corresponding algorithm. These generalized Schur functions have important applications to the theory of linear operators, to signal processing and control theory, and to other areas of engineering. In this book, Alpay looks at matrix-valued Schur functions and their applications from the unifying point of view of spaces with reproducing kernels. This approach is used here to study the relationship between the modeling of time-invariant dissipative linear systems and the theory of linear operators. The inverse scattering problem plays a key role in the exposition. The point of view also allows for a natural way to tackle more general cases, such as nonstationary systems, non-positive metrics, and pairs of commuting nonself-adjoint operators. This is the English translation of a volume originally published in French by the Societe Mathematique de France. Translated by Stephen S. Wilson.
Book Synopsis Mathematical Olympiad Challenges by : Titu Andreescu
Download or read book Mathematical Olympiad Challenges written by Titu Andreescu and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematical Olympiad Challenges is a rich collection of problems put together by two experienced and well-known professors and coaches of the U.S. International Mathematical Olympiad Team. Hundreds of beautiful, challenging, and instructive problems from algebra, geometry, trigonometry, combinatorics, and number theory were selected from numerous mathematical competitions and journals. An important feature of the work is the comprehensive background material provided with each grouping of problems. The problems are clustered by topic into self-contained sections with solutions provided separately. All sections start with an essay discussing basic facts and one or two representative examples. A list of carefully chosen problems follows and the reader is invited to take them on. Additionally, historical insights and asides are presented to stimulate further inquiry. The emphasis throughout is on encouraging readers to move away from routine exercises and memorized algorithms toward creative solutions to open-ended problems. Aimed at motivated high school and beginning college students and instructors, this work can be used as a text for advanced problem- solving courses, for self-study, or as a resource for teachers and students training for mathematical competitions and for teacher professional development, seminars, and workshops.
