Download or read book Foundations of the Theory of Groupoids and Groups written by BORUVKA and published by Birkhäuser. This book was released on 1975-01-01 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Foundation of the Theory of Groupoids and Groups written by Otakar Borúvka and published by Springer. This book was released on 1976-01-01 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Foundations of the Theory of Groupoids and Groups Groupoids and Groups written by Otakar Boruvka and published by . This book was released on 1976 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Foundations of the Theory of Groupoids and Groups written by Otakar Borůvka and published by John Wiley & Sons. This book was released on 1976 with total page 226 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book An Introduction to Groups Groupoids and Their Representations written by Alberto Ibort and published by CRC Press. This book was released on 2019-10-28 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to the theory of groupoids and their representations encompassing the standard theory of groups. Using a categorical language, developed from simple examples, the theory of finite groupoids is shown to knit neatly with that of groups and their structure as well as that of their representations is described. The book comprises numerous examples and applications, including well-known games and puzzles, databases and physics applications. Key concepts have been presented using only basic notions so that it can be used both by students and researchers interested in the subject. Category theory is the natural language that is being used to develop the theory of groupoids. However, categorical presentations of mathematical subjects tend to become highly abstract very fast and out of reach of many potential users. To avoid this, foundations of the theory, starting with simple examples, have been developed and used to study the structure of finite groups and groupoids. The appropriate language and notions from category theory have been developed for students of mathematics and theoretical physics. The book presents the theory on the same level as the ordinary and elementary theories of finite groups and their representations, and provides a unified picture of the same. The structure of the algebra of finite groupoids is analysed, along with the classical theory of characters of their representations. Unnecessary complications in the formal presentation of the subject are avoided. The book offers an introduction to the language of category theory in the concrete setting of finite sets. It also shows how this perspective provides a common ground for various problems and applications, ranging from combinatorics, the topology of graphs, structure of databases and quantum physics.
Download or read book Foundations of the theory of groupoids and groups written by Otakar Bor°uvka and published by . This book was released on 1974 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 1988 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: V.1. A-B v.2. C v.3. D-Feynman Measure. v.4. Fibonaccimethod H v.5. Lituus v.6. Lobachevskii Criterion (for Convergence)-Optical Sigman-Algebra. v.7. Orbi t-Rayleigh Equation. v.8. Reaction-Diffusion Equation-Stirling Interpolation Fo rmula. v.9. Stochastic Approximation-Zygmund Class of Functions. v.10. Subject Index-Author Index.
Download or read book Topology and Groupoids written by Ronald Brown and published by Booksurge Llc. This book was released on 2006 with total page 512 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation. The book is intended as a text for a two-semester course in topology and algebraic topology at the advanced undergraduate orbeginning graduate level. There are over 500 exercises, 114 figures, numerous diagrams. The general direction of the book is towardhomotopy theory with a geometric point of view. This book would providea more than adequate background for a standard algebraic topology coursethat begins with homology theory. For more information seewww.bangor.ac.uk/r.brown/topgpds.htmlThis version dated April 19, 2006, has a number of corrections made.
Download or read book An Introduction to Groups Groupoids and Their Representations written by Alberto Ibort and published by CRC Press. This book was released on 2019-10-28 with total page 362 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book offers an introduction to the theory of groupoids and their representations encompassing the standard theory of groups. Using a categorical language, developed from simple examples, the theory of finite groupoids is shown to knit neatly with that of groups and their structure as well as that of their representations is described. The book comprises numerous examples and applications, including well-known games and puzzles, databases and physics applications. Key concepts have been presented using only basic notions so that it can be used both by students and researchers interested in the subject. Category theory is the natural language that is being used to develop the theory of groupoids. However, categorical presentations of mathematical subjects tend to become highly abstract very fast and out of reach of many potential users. To avoid this, foundations of the theory, starting with simple examples, have been developed and used to study the structure of finite groups and groupoids. The appropriate language and notions from category theory have been developed for students of mathematics and theoretical physics. The book presents the theory on the same level as the ordinary and elementary theories of finite groups and their representations, and provides a unified picture of the same. The structure of the algebra of finite groupoids is analysed, along with the classical theory of characters of their representations. Unnecessary complications in the formal presentation of the subject are avoided. The book offers an introduction to the language of category theory in the concrete setting of finite sets. It also shows how this perspective provides a common ground for various problems and applications, ranging from combinatorics, the topology of graphs, structure of databases and quantum physics.
Download or read book Homotopy Type Theory Univalent Foundations of Mathematics written by and published by Univalent Foundations. This book was released on with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Hochschulb cher f r Mathematik written by Otakar Boruvka and published by . This book was released on 1974 with total page 215 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The Theory of Groupoids with Applications to Groups written by Claud Dwayne Price and published by . This book was released on 1968 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fundamentals of Group Theory written by Steven Roman and published by Springer Science & Business Media. This book was released on 2011-10-26 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamentals of Group Theory provides a comprehensive account of the basic theory of groups. Both classic and unique topics in the field are covered, such as an historical look at how Galois viewed groups, a discussion of commutator and Sylow subgroups, and a presentation of Birkhoff’s theorem. Written in a clear and accessible style, the work presents a solid introduction for students wishing to learn more about this widely applicable subject area. This book will be suitable for graduate courses in group theory and abstract algebra, and will also have appeal to advanced undergraduates. In addition it will serve as a valuable resource for those pursuing independent study. Group Theory is a timely and fundamental addition to literature in the study of groups.
Download or read book Foundations of Differentiable Manifolds and Lie Groups written by Frank W. Warner and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Foundations of Differentiable Manifolds and Lie Groups gives a clear, detailed, and careful development of the basic facts on manifold theory and Lie Groups. Coverage includes differentiable manifolds, tensors and differentiable forms, Lie groups and homogenous spaces, and integration on manifolds. The book also provides a proof of the de Rham theorem via sheaf cohomology theory and develops the local theory of elliptic operators culminating in a proof of the Hodge theorem.
Download or read book The Algebraic Theory of Semigroups Volume II written by Alfred Hoblitzelle Clifford and published by American Mathematical Soc.. This book was released on 1961 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introduction to Foliations and Lie Groupoids written by Ieke Moerdijk and published by . This book was released on 2003 with total page 173 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a quick introduction to the theory of foliations and Lie groupoids. It is based on the authors' extensive teaching experience and contains numerous examples and exercises making it ideal either for independent study or as the basis of a graduate course.
Download or read book Notes on Categories and Groupoids written by Philip J. Higgins and published by . This book was released on 1971 with total page 190 pages. Available in PDF, EPUB and Kindle. Book excerpt:
