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Cohomology Of Principal Bundles And Homogeneous Spaces
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Book Synopsis Topological Library by : Serge? Petrovich Novikov
Download or read book Topological Library written by Serge? Petrovich Novikov and published by World Scientific. This book was released on 2012 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in 1950-60s. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950. That is, from Serre's celebrated "singular homologies of fiber spaces."
Book Synopsis Geometry of Differential Forms by : Shigeyuki Morita
Download or read book Geometry of Differential Forms written by Shigeyuki Morita and published by American Mathematical Soc.. This book was released on 2001 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the times of Gauss, Riemann, and Poincare, one of the principal goals of the study of manifolds has been to relate local analytic properties of a manifold with its global topological properties. Among the high points on this route are the Gauss-Bonnet formula, the de Rham complex, and the Hodge theorem; these results show, in particular, that the central tool in reaching the main goal of global analysis is the theory of differential forms. The book by Morita is a comprehensive introduction to differential forms. It begins with a quick introduction to the notion of differentiable manifolds and then develops basic properties of differential forms as well as fundamental results concerning them, such as the de Rham and Frobenius theorems. The second half of the book is devoted to more advanced material, including Laplacians and harmonic forms on manifolds, the concepts of vector bundles and fiber bundles, and the theory of characteristic classes. Among the less traditional topics treated is a detailed description of the Chern-Weil theory. The book can serve as a textbook for undergraduate students and for graduate students in geometry.
Book Synopsis Connections, Curvature, and Cohomology by : Werner Hildbert Greub
Download or read book Connections, Curvature, and Cohomology written by Werner Hildbert Greub and published by Academic Press. This book was released on 1972 with total page 618 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph developed out of the Abendseminar of 1958-1959 at the University of Zürich. The purpose of this monograph is to develop the de Rham cohomology theory, and to apply it to obtain topological invariants of smooth manifolds and fibre bundles. It also addresses the purely algebraic theory of the operation of a Lie algebra in a graded differential algebra.
Book Synopsis Connections, Curvature, and Cohomology Volume 3 by : Werner Greub
Download or read book Connections, Curvature, and Cohomology Volume 3 written by Werner Greub and published by Academic Press. This book was released on 1976-02-19 with total page 617 pages. Available in PDF, EPUB and Kindle. Book excerpt: Connections, Curvature, and Cohomology Volume 3
Book Synopsis Foundations of Differentiable Manifolds and Lie Groups by : Frank W. Warner
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.
Book Synopsis Connections, Curvature, and Cohomology: Cohomology of principal bundles and homogeneous spaces by : Stephen Halperin
Download or read book Connections, Curvature, and Cohomology: Cohomology of principal bundles and homogeneous spaces written by Stephen Halperin and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Connections, Curvature, and Cohomology: Lie groups, principal bundles, and characteristic classes by : Werner Hildbert Greub
Download or read book Connections, Curvature, and Cohomology: Lie groups, principal bundles, and characteristic classes written by Werner Hildbert Greub and published by . This book was released on 1973 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 2.
Book Synopsis Connections, Curvature, and Cohomology V1 by :
Download or read book Connections, Curvature, and Cohomology V1 written by and published by Academic Press. This book was released on 1972-07-31 with total page 467 pages. Available in PDF, EPUB and Kindle. Book excerpt: Connections, Curvature, and Cohomology V1
Book Synopsis Topological Library - Part 3: Spectral Sequences In Topology by : Serguei Petrovich Novikov
Download or read book Topological Library - Part 3: Spectral Sequences In Topology written by Serguei Petrovich Novikov and published by World Scientific. This book was released on 2012-07-25 with total page 590 pages. Available in PDF, EPUB and Kindle. Book excerpt: The final volume of the three-volume edition, this book features classical papers on algebraic and differential topology published in the 1950s-1960s. The partition of these papers among the volumes is rather conditional. The original methods and constructions from these works are properly documented for the first time in this book. No existing book covers the beautiful ensemble of methods created in topology starting from approximately 1950. That is, from Serre's celebrated “singular homologies of fiber spaces.”
Book Synopsis Modular Representations of Finite Groups by :
Download or read book Modular Representations of Finite Groups written by and published by Academic Press. This book was released on 1977-03-14 with total page 259 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modular Representations of Finite Groups
Book Synopsis Functional Integration and Quantum Physics by : Barry Simon
Download or read book Functional Integration and Quantum Physics written by Barry Simon and published by Academic Press. This book was released on 1979 with total page 311 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A First Course in Rational Continuum Mechanics by : C. Truesdell
Download or read book A First Course in Rational Continuum Mechanics written by C. Truesdell and published by Elsevier. This book was released on 2016-06-03 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: A First Course in Rational Continuum Mechanics, Volume 1: General Concepts describes general concepts in rational continuum mechanics and covers topics ranging from bodies and forces to motions and energies, kinematics, and the stress tensor. Constitutive relations are also discussed, and some definitions and theorems of algebra, geometry, and calculus are included. Exercises and their solutions are given as well. Comprised of four chapters, this volume begins with an introduction to rational mechanics by focusing on the mathematical concepts of bodies, forces, motions, and energies. Systems that provide possible universes for mechanics are described. The next chapter explores kinematics, with emphasis on bodies, placements, and motions as well as other relevant concepts like local deformation and homogeneous transplacement. The book also considers the stress tensor and Cauchy's fundamental theorem before concluding with a discussion on constitutive relations. This monograph is designed for students taking a course in mathematics or physics.
Book Synopsis Nonlinearity and Functional Analysis by : Melvyn S. Berger
Download or read book Nonlinearity and Functional Analysis written by Melvyn S. Berger and published by Academic Press. This book was released on 1977-10-27 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: Nonlinearity and Functional Analysis is a collection of lectures that aim to present a systematic description of fundamental nonlinear results and their applicability to a variety of concrete problems taken from various fields of mathematical analysis. For decades, great mathematical interest has focused on problems associated with linear operators and the extension of the well-known results of linear algebra to an infinite-dimensional context. This interest has been crowned with deep insights, and the substantial theory that has been developed has had a profound influence throughout the mathematical sciences. This volume comprises six chapters and begins by presenting some background material, such as differential-geometric sources, sources in mathematical physics, and sources from the calculus of variations, before delving into the subject of nonlinear operators. The following chapters then discuss local analysis of a single mapping and parameter dependent perturbation phenomena before going into analysis in the large. The final chapters conclude the collection with a discussion of global theories for general nonlinear operators and critical point theory for gradient mappings. This book will be of interest to practitioners in the fields of mathematics and physics, and to those with interest in conventional linear functional analysis and ordinary and partial differential equations.
Book Synopsis Introduction to the Theory of Infiniteseimals by :
Download or read book Introduction to the Theory of Infiniteseimals written by and published by Academic Press. This book was released on 1977-01-13 with total page 343 pages. Available in PDF, EPUB and Kindle. Book excerpt: Introduction to the Theory of Infiniteseimals
Book Synopsis Ergodic Theory and Topological Dynamics by :
Download or read book Ergodic Theory and Topological Dynamics written by and published by Academic Press. This book was released on 1976-11-15 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Ergodic Theory and Topological Dynamics
Book Synopsis Spectral Theory of Random Matrices by : Vyacheslav L. Girko
Download or read book Spectral Theory of Random Matrices written by Vyacheslav L. Girko and published by Academic Press. This book was released on 2016-08-23 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Spectral Theory of Random Matrices
Book Synopsis An Introduction to Classical Complex Analysis by :
Download or read book An Introduction to Classical Complex Analysis written by and published by Academic Press. This book was released on 1980-07-15 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Classical Complex Analysis
