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Author : Louis Auslander,F. Hahn,L. Green
Publisher : Princeton University Press
Page : 107 pages
File Size : 48,7 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882021
The description for this book, Flows on Homogeneous Spaces. (AM-53), Volume 53, will be forthcoming.
Author : Chen Chung Chang,H. Jerome Keisler
Publisher : Princeton University Press
Page : 165 pages
File Size : 53,9 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882052
This is a study of the theory of models with truth values in a compact Hausdorff topological space.
Author : Gerald E. Sacks
Publisher : Princeton University Press
Page : 192 pages
File Size : 43,8 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400881840
The description for this book, Degrees of Unsolvability. (AM-55), Volume 55, will be forthcoming.
Author : R. H. Bing,Ralph J. Bean
Publisher : Princeton University Press
Page : 256 pages
File Size : 42,6 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882076
During the summer of 1965, an informal seminar in geometric topology was held at the University of Wisconsin under the direction of Professor Bing. Twenty-five of these lectures are included in this study, among them Professor Bing's lecture describing the recent attacks of Haken and Poincaré on the Poincaré conjectures, and sketching a proof of Haken's main result.
Author : Lee Paul Neuwirth
Publisher : Princeton University Press
Page : 119 pages
File Size : 48,7 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882038
The description for this book, Knot Groups. Annals of Mathematics Studies. (AM-56), Volume 56, will be forthcoming.
Author : Richard S. Palais
Publisher : Princeton University Press
Page : 376 pages
File Size : 45,5 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882045
The description for this book, Seminar on Atiyah-Singer Index Theorem. (AM-57), Volume 57, will be forthcoming.
Author : David Mumford
Publisher : Princeton University Press
Page : 212 pages
File Size : 49,6 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400882069
These lectures, delivered by Professor Mumford at Harvard in 1963-1964, are devoted to a study of properties of families of algebraic curves, on a non-singular projective algebraic curve defined over an algebraically closed field of arbitrary characteristic. The methods and techniques of Grothendieck, which have so changed the character of algebraic geometry in recent years, are used systematically throughout. Thus the classical material is presented from a new viewpoint.
Author : G. Daniel Mostow
Publisher : Princeton University Press
Page : 204 pages
File Size : 55,8 Mb
Release : 2016-03-02
Category : Mathematics
ISBN : 9781400881833
Locally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he calls "strong rigidity": this is a stronger form of the deformation rigidity that has been investigated by Selberg, Calabi-Vesentini, Weil, Borel, and Raghunathan. The proof combines the theory of semi-simple Lie groups, discrete subgroups, the geometry of E. Cartan's symmetric Riemannian spaces, elements of ergodic theory, and the fundamental theorem of projective geometry as applied to Tit's geometries. In his proof the author introduces two new notions having independent interest: one is "pseudo-isometries"; the other is a notion of a quasi-conformal mapping over the division algebra K (K equals real, complex, quaternion, or Cayley numbers). The author attempts to make the account accessible to readers with diverse backgrounds, and the book contains capsule descriptions of the various theories that enter the proof.
Author : Nam P. Bhatia,George P. Szegö
Publisher : Springer
Page : 423 pages
File Size : 53,7 Mb
Release : 2006-11-14
Category : Mathematics
ISBN : 9783540349747
Author : Gregory S. Chirikjian
Publisher : Springer Science & Business Media
Page : 461 pages
File Size : 44,7 Mb
Release : 2011-11-16
Category : Mathematics
ISBN : 9780817649449
This unique two-volume set presents the subjects of stochastic processes, information theory, and Lie groups in a unified setting, thereby building bridges between fields that are rarely studied by the same people. Unlike the many excellent formal treatments available for each of these subjects individually, the emphasis in both of these volumes is on the use of stochastic, geometric, and group-theoretic concepts in the modeling of physical phenomena. Stochastic Models, Information Theory, and Lie Groups will be of interest to advanced undergraduate and graduate students, researchers, and practitioners working in applied mathematics, the physical sciences, and engineering. Extensive exercises, motivating examples, and real-world applications make the work suitable as a textbook for use in courses that emphasize applied stochastic processes or differential geometry.
Author : Vladimir Dobrev
Publisher : Springer
Page : 614 pages
File Size : 45,9 Mb
Release : 2016-12-10
Category : Science
ISBN : 9789811026362
This volume presents modern trends in the area of symmetries and their applications based on contributions from the workshop "Lie Theory and Its Applications in Physics", held near Varna, Bulgaria, in June 2015. Traditionally, Lie theory is a tool to build mathematical models for physical systems.Recently, the trend has been towards geometrization of the mathematical description of physical systems and objects. A geometric approach to a system yields in general some notion of symmetry, which is very helpful in understanding its structure. Geometrization and symmetries are employed in their widest sense, embracing representation theory, algebraic geometry, number theory, infinite-dimensional Lie algebras and groups, superalgebras and supergroups, groups and quantum groups, noncommutative geometry, symmetries of linear and nonlinear partial differential operators (PDO), special functions, and others. Furthermore, the necessary tools from functional analysis are included.“div>This is a large interdisciplinary and interrelated field, and the present volume is suitable for a broad audience of mathematicians, mathematical physicists, and theoretical physicists, including researchers and graduate students interested in Lie Theory.
Author : Astronomisches Rechen-Institut
Publisher : Springer Science & Business Media
Page : 1308 pages
File Size : 49,9 Mb
Release : 2013-06-29
Category : Science
ISBN : 9783662123676
From the reviews: "Astronomy and Astrophysics Abstracts has appeared in semi-annual volumes since 1969 and it has already become one of the fundamental publications in the fields of astronomy, astrophysics and neighbouring sciences. It is the most important English-language abstracting journal in the mentioned branches. ...The abstracts are classified under more than a hundred subject categories, thus permitting a quick survey of the whole extended material. The AAA is a valuable and important publication for all students and scientists working in the fields of astronomy and related sciences. As such it represents a necessary ingredient of any astronomical library all over the world." Space Science Reviews#1 "Dividing the whole field plus related subjects into 108 categories, each work is numbered and most are accompanied by brief abstracts. Fairly comprehensive cross-referencing links relevant papers to more than one category, and exhaustive author and subject indices are to be found at the back, making the catalogues easy to use. The series appears to be so complete in its coverage and always less than a year out of date that I shall certainly have to make a little more space on those shelves for future volumes." The Observatory Magazine#2
Author : Radu Zaharopol
Publisher : Springer
Page : 389 pages
File Size : 45,6 Mb
Release : 2014-06-27
Category : Mathematics
ISBN : 9783319057231
The structure of the set of all the invariant probabilities and the structure of various types of individual invariant probabilities of a transition function are two topics of significant interest in the theory of transition functions, and are studied in this book. The results obtained are useful in ergodic theory and the theory of dynamical systems, which, in turn, can be applied in various other areas (like number theory). They are illustrated using transition functions defined by flows, semiflows, and one-parameter convolution semigroups of probability measures. In this book, all results on transition probabilities that have been published by the author between 2004 and 2008 are extended to transition functions. The proofs of the results obtained are new. For transition functions that satisfy very general conditions the book describes an ergodic decomposition that provides relevant information on the structure of the corresponding set of invariant probabilities. Ergodic decomposition means a splitting of the state space, where the invariant ergodic probability measures play a significant role. Other topics covered include: characterizations of the supports of various types of invariant probability measures and the use of these to obtain criteria for unique ergodicity, and the proofs of two mean ergodic theorems for a certain type of transition functions. The book will be of interest to mathematicians working in ergodic theory, dynamical systems, or the theory of Markov processes. Biologists, physicists and economists interested in interacting particle systems and rigorous mathematics will also find this book a valuable resource. Parts of it are suitable for advanced graduate courses. Prerequisites are basic notions and results on functional analysis, general topology, measure theory, the Bochner integral and some of its applications.
Author : Louis Auslander,L. Green,F. Hahn
Publisher : Unknown
Page : 0 pages
File Size : 49,7 Mb
Release : 1963
Category : Topological dynamics
ISBN : LCCN:lc62019959
Author : Workshop on Topology,Steven Hurder
Publisher : American Mathematical Soc.
Page : 287 pages
File Size : 46,6 Mb
Release : 1994
Category : Mathematics
ISBN : 9780821851708
This volume contains the proceedings of the Workshop on Topology held at the Pontificia Universidade Catolica in Rio de Janeiro in January 1992. Bringing together about one hundred mathematicians from Brazil and around the world, the workshop covered a variety of topics in differential and algebraic topology, including group actions, foliations, low-dimensional topology, and connections to differential geometry. The main concentration was on foliation theory, but there was a lively exchange on other current topics in topology. The volume contains an excellent list of open problems in foliation research, prepared with the participation of some of the top world experts in this area. Also presented here are two surveys on group actions---finite group actions and rigidity theory for Anosov actions---as well as an elementary survey of Thurston's geometric topology in dimensions 2 and 3 that would be accessible to advanced undergraduates and graduate students.