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Invariant Forms On Grassman Manifolds
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Book Synopsis Invariant Forms on Grassmann Manifolds. (AM-89), Volume 89 by : Wilhelm Stoll
Download or read book Invariant Forms on Grassmann Manifolds. (AM-89), Volume 89 written by Wilhelm Stoll and published by Princeton University Press. This book was released on 2016-03-02 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work offers a contribution in the geometric form of the theory of several complex variables. Since complex Grassmann manifolds serve as classifying spaces of complex vector bundles, the cohomology structure of a complex Grassmann manifold is of importance for the construction of Chern classes of complex vector bundles. The cohomology ring of a Grassmannian is therefore of interest in topology, differential geometry, algebraic geometry, and complex analysis. Wilhelm Stoll treats certain aspects of the complex analysis point of view. This work originated with questions in value distribution theory. Here analytic sets and differential forms rather than the corresponding homology and cohomology classes are considered. On the Grassmann manifold, the cohomology ring is isomorphic to the ring of differential forms invariant under the unitary group, and each cohomology class is determined by a family of analytic sets.
Book Synopsis Techniques of Multivariate Calculation by : R. H. Farrell
Download or read book Techniques of Multivariate Calculation written by R. H. Farrell and published by Springer. This book was released on 2006-11-14 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Multivariate Calculation by : R.H. Farrell
Download or read book Multivariate Calculation written by R.H. Farrell and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Like some of my colleagues, in my earlier years I found the multivariate Jacobian calculations horrible and unbelievable. As I listened and read during the years 1956 to 1974 I continually saw alternatives to the Jacobian and variable change method of computing probability density functions. Further, it was made clear by the work of A. T. James that computation of the density functions of the sets of roots of determinental equations required a method other than Jacobian calculations and that the densities could be calculated using differential forms on manifolds. It had become clear from the work ofC S. Herz and A. T. James that the expression of the noncentral multivariate density functions required integration with respect to Haar measures on locally compact groups. Material on manifolds and locally compact groups had not yet reached the pages of multivariate books of the time and also much material about multivariate computations existed only in the journal literature or in unpublished sets oflecture notes. In spirit, being more a mathematician than a statistician, the urge to write a book giving an integrated treatment of these topics found expression in 1974-1975 when I took a one year medical leave of absence from Cornell University. During this period I wrote Techniques of Multivariate Calculation. Writing a coherent treatment of the various methods made obvious re quired background material.
Book Synopsis Geometric Integration Theory on Supermanifolds by : T. Voronov
Download or read book Geometric Integration Theory on Supermanifolds written by T. Voronov and published by CRC Press. This book was released on 1991 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author presents the first detailed and original account of his theory of forms on supermanifolds-a correct and non-trivial analogue of Cartan-de Rham theory based on new concepts. The paper develops the apparatus of supermanifold differential topology necessary for the integration theory. A key feature is the identification of a class of proper morphisms intimately connected with Berezin integration, which are of fundamental importance in various problems. The work also contains a condensed introduction to superanalysis and supermanifolds, free from algebraic formalism, which sets out afresh such challenging problems as the Berezin intgegral on a bounded domain.
Book Synopsis Introduction to Global Analysis by : Donald W. Kahn
Download or read book Introduction to Global Analysis written by Donald W. Kahn and published by Courier Corporation. This book was released on 2007-03-29 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text introduces the methods of mathematical analysis as applied to manifolds, including the roles of differentiation and integration, infinite dimensions, Morse theory, Lie groups, and dynamical systems. 1980 edition.
Book Synopsis Invariant Forms on Grassmann Manifolds by : Wilhelm Stoll
Download or read book Invariant Forms on Grassmann Manifolds written by Wilhelm Stoll and published by . This book was released on 1977 with total page 125 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Statistics on Special Manifolds by : Yasuko Chikuse
Download or read book Statistics on Special Manifolds written by Yasuko Chikuse and published by Springer Science & Business Media. This book was released on 2012-11-12 with total page 425 pages. Available in PDF, EPUB and Kindle. Book excerpt: Covering statistical analysis on the two special manifolds, the Stiefel manifold and the Grassmann manifold, this book is designed as a reference for both theoretical and applied statisticians. It will also be used as a textbook for a graduate course in multivariate analysis. It is assumed that the reader is familiar with the usual theory of univariate statistics and a thorough background in mathematics, in particular, knowledge of multivariate calculation techniques.
Book Synopsis Homotopy Invariants in Differential Geometry by : Tadashi Nagano
Download or read book Homotopy Invariants in Differential Geometry written by Tadashi Nagano and published by American Mathematical Soc.. This book was released on 1970 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised by : William Munger Boothby
Download or read book An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised written by William Munger Boothby and published by Gulf Professional Publishing. This book was released on 2003 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: The second edition of An Introduction to Differentiable Manifolds and Riemannian Geometry, Revised has sold over 6,000 copies since publication in 1986 and this revision will make it even more useful. This is the only book available that is approachable by "beginners" in this subject. It has become an essential introduction to the subject for mathematics students, engineers, physicists, and economists who need to learn how to apply these vital methods. It is also the only book that thoroughly reviews certain areas of advanced calculus that are necessary to understand the subject. Line and surface integrals Divergence and curl of vector fields
Book Synopsis An Introduction to Differentiable Manifolds and Riemannian Geometry by :
Download or read book An Introduction to Differentiable Manifolds and Riemannian Geometry written by and published by Academic Press. This book was released on 1975-08-22 with total page 441 pages. Available in PDF, EPUB and Kindle. Book excerpt: An Introduction to Differentiable Manifolds and Riemannian Geometry
Book Synopsis Complete and Compact Minimal Surfaces by : Kichoon Yang
Download or read book Complete and Compact Minimal Surfaces written by Kichoon Yang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 185 pages. Available in PDF, EPUB and Kindle. Book excerpt: 'Et moi ..., si j'avait su comment en reveni.r, One service mathematics has rendered the je n'y serais point aile.' human race. It has put common sense back Jules Verne where it belongs. on the topmost shelf next to the dusty canister labelled 'discarded non 111e series is divergent; therefore we may be sense'. Eric T. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Book Synopsis Selected Works of Phillip A. Griffiths with Commentary by : Phillip Griffiths
Download or read book Selected Works of Phillip A. Griffiths with Commentary written by Phillip Griffiths and published by American Mathematical Soc.. This book was released on 2003 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: Containing four parts such as Analytic Geometry, Algebraic Geometry, Variations of Hodge Structures, and Differential Systems that are organized according to the subject matter, this title provides the reader with a panoramic view of important and exciting mathematics during the second half of the 20th century.
Book Synopsis Topics in Physical Mathematics by : Kishore Marathe
Download or read book Topics in Physical Mathematics written by Kishore Marathe and published by Springer Science & Business Media. This book was released on 2010-08-09 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: As many readers will know, the 20th century was a time when the fields of mathematics and the sciences were seen as two separate entities. Caused by the rapid growth of the physical sciences and an increasing abstraction in mathematical research, each party, physicists and mathematicians alike, suffered a misconception; not only of the opposition’s theoretical underpinning, but of how the two subjects could be intertwined and effectively utilized. One sub-discipline that played a part in the union of the two subjects is Theoretical Physics. Breaking it down further came the fundamental theories, Relativity and Quantum theory, and later on Yang-Mills theory. Other areas to emerge in this area are those derived from the works of Donaldson, Chern-Simons, Floer-Fukaya, and Seiberg-Witten. Aimed at a wide audience, Physical Topics in Mathematics demonstrates how various physical theories have played a crucial role in the developments of Mathematics and in particular, Geometric Topology. Issues are studied in great detail, and the book steadfastly covers the background of both Mathematics and Theoretical Physics in an effort to bring the reader to a deeper understanding of their interaction. Whilst the world of Theoretical Physics and Mathematics is boundless; it is not the intention of this book to cover its enormity. Instead, it seeks to lead the reader through the world of Physical Mathematics; leaving them with a choice of which realm they wish to visit next.
Download or read book On Knots written by Louis H. Kauffman and published by Princeton University Press. This book was released on 1987 with total page 500 pages. Available in PDF, EPUB and Kindle. Book excerpt: On Knots is a journey through the theory of knots, starting from the simplest combinatorial ideas--ideas arising from the representation of weaving patterns. From this beginning, topological invariants are constructed directly: first linking numbers, then the Conway polynomial and skein theory. This paves the way for later discussion of the recently discovered Jones and generalized polynomials. The central chapter, Chapter Six, is a miscellany of topics and recreations. Here the reader will find the quaternions and the belt trick, a devilish rope trick, Alhambra mosaics, Fibonacci trees, the topology of DNA, and the author's geometric interpretation of the generalized Jones Polynomial. Then come branched covering spaces, the Alexander polynomial, signature theorems, the work of Casson and Gordon on slice knots, and a chapter on knots and algebraic singularities.The book concludes with an appendix about generalized polynomials.
Book Synopsis Complete Feedback Invariant Form for Linear Output Feedback Systems by : Sue-Woon Kim
Download or read book Complete Feedback Invariant Form for Linear Output Feedback Systems written by Sue-Woon Kim and published by . This book was released on 1996 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Curvature and Homology by : Samuel I. Goldberg
Download or read book Curvature and Homology written by Samuel I. Goldberg and published by Courier Corporation. This book was released on 1998-01-01 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: This systematic and self-contained treatment examines the topology of differentiable manifolds, curvature and homology of Riemannian manifolds, compact Lie groups, complex manifolds, and curvature and homology of Kaehler manifolds. It generalizes the theory of Riemann surfaces to that of Riemannian manifolds. Includes four helpful appendixes. "A valuable survey." — Nature. 1962 edition.
Download or read book Curvature and Homology written by and published by Academic Press. This book was released on 2011-08-29 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Curvature and Homology
