Download or read book Geometry of Principal Sheaves written by Efstathios Vassiliou and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides a detailed introduction to the theory of connections on principal sheaves in the framework of Abstract Differential Geometry (ADG). This is a new approach to differential geometry based on sheaf theoretic methods, without use of ordinary calculus. This point of view complies with the demand of contemporary physics to cope with non-smooth models of physical phenomena and spaces with singularities. Starting with a brief survey of the required sheaf theory and cohomology, the exposition then moves on to differential triads (the abstraction of smooth manifolds) and Lie sheaves of groups (the abstraction of Lie groups). Having laid the groundwork, the main part of the book is devoted to the theory of connections on principal sheaves, incorporating connections on vector and associated sheaves. Topics such as the moduli sheaf of connections, classification of principal sheaves, curvature, flat connections and flat sheaves, Chern-Weil theory, are also treated. The study brings to light fundamental notions and tools of the standard differential geometry which are susceptible of the present abstraction, and whose role remains unexploited in the classical context, because of the abundance of means therein. However, most of the latter are nonsensical in ADG.
Download or read book Connections on Principal Sheaves written by Efstathios Vassiliou and published by . This book was released on 1997 with total page 36 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Modern Differential Geometry in Gauge Theories written by Anastasios Mallios and published by Springer Science & Business Media. This book was released on 2006-07-27 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is original, well-written work of interest Presents for the first time (physical) field theories written in sheaf-theoretic language Contains a wealth of minutely detailed, rigorous computations, ususally absent from standard physical treatments Author's mastery of the subject and the rigorous treatment of this text make it invaluable
Download or read book The Geometry of Moduli Spaces of Sheaves written by Daniel Huybrechts and published by Cambridge University Press. This book was released on 2010-05-27 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: This edition has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces. The authors review changes in the field and point the reader towards further literature. An ideal text for graduate students or mathematicians with a background in algebraic geometry.
Download or read book New Developments in Differential Geometry Budapest 1996 written by J. Szenthe and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 513 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings of the Conference on Differential Geometry, Budapest, Hungary, July 27-30, 1996
Download or read book Sheaves in Topology written by Alexandru Dimca and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: Constructible and perverse sheaves are the algebraic counterpart of the decomposition of a singular space into smooth manifolds. This introduction to the subject can be regarded as a textbook on modern algebraic topology, treating the cohomology of spaces with sheaf (as opposed to constant) coefficients. The author helps readers progress quickly from the basic theory to current research questions, thoroughly supported along the way by examples and exercises.
Download or read book Differential Sheaves And Connections A Natural Approach To Physical Geometry written by Anastasios Mallios and published by World Scientific. This book was released on 2015-09-17 with total page 302 pages. Available in PDF, EPUB and Kindle. Book excerpt: This unique book provides a self-contained conceptual and technical introduction to the theory of differential sheaves. This serves both the newcomer and the experienced researcher in undertaking a background-independent, natural and relational approach to 'physical geometry'. In this manner, this book is situated at the crossroads between the foundations of mathematical analysis with a view toward differential geometry and the foundations of theoretical physics with a view toward quantum mechanics and quantum gravity. The unifying thread is provided by the theory of adjoint functors in category theory and the elucidation of the concepts of sheaf theory and homological algebra in relation to the description and analysis of dynamically constituted physical geometric spectrums.
Download or read book Parametric Lie Group Actions on Global Generalised Solutions of Nonlinear PDEs written by Elemer Elad Rosinger and published by Springer Science & Business Media. This book was released on 1998-10-31 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents a solution of the harder part of the problem of defining globally arbitrary Lie group actions on such nonsmooth entities as generalized functions. This work addresses those who are interested in solving nonlinear PDEs, and in particular, in studying the Lie group symmetries of their classical or generalized solutions. This new method extends and completes earlier results of the author and collaborators, in which global Lie group actions on generalized functions were only defined in the case of projectable or fiber preserving Lie group actions. Annotation copyrighted by Book News, Inc., Portland, OR
Download or read book Geometry of Vector Sheaves written by Anastasios Mallios and published by Springer Science & Business Media. This book was released on 1998 with total page 468 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second volume of a two-volume monograph which obtains fundamental notions and results of the standard differential geometry of smooth manifolds, without using differential calculus. Here, the sheaf-theoretic character is emphasized. This has theoretical advantages such as greater perspective, clarity and unification, but also practical benefits ranging from elementary particle physics, via gauge theories and theoretical cosmology (differential spaces), to non-linear PDEs (generalized functions). Thus, more general applications, which are no longer smooth in the classical sense, can be coped with. The treatise might also be construed as a new systematic endeavour to confront the ever-increasing notion that the world around us is far from being smooth enough.
Download or read book Mining Engineers Handbook written by Robert Peele and published by . This book was released on 1927 with total page 2550 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Fourier Mukai and Nahm Transforms in Geometry and Mathematical Physics written by CLAUDIO BARTOCCI and published by Springer Science & Business Media. This book was released on 2009-06-12 with total page 435 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integral transforms, such as the Laplace and Fourier transforms, have been major tools in mathematics for at least two centuries. In the last three decades the development of a number of novel ideas in algebraic geometry, category theory, gauge theory, and string theory has been closely related to generalizations of integral transforms of a more geometric character. "Fourier–Mukai and Nahm Transforms in Geometry and Mathematical Physics" examines the algebro-geometric approach (Fourier–Mukai functors) as well as the differential-geometric constructions (Nahm). Also included is a considerable amount of material from existing literature which has not been systematically organized into a monograph. Key features: Basic constructions and definitions are presented in preliminary background chapters - Presentation explores applications and suggests several open questions - Extensive bibliography and index. This self-contained monograph provides an introduction to current research in geometry and mathematical physics and is intended for graduate students and researchers just entering this field.
Download or read book A descriptive treatise on mining machinery tools and other appliances used in mining written by George Guillinane André and published by . This book was released on 1877 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mining and Ore dressing Machinery written by Charles George Warnford Lock and published by . This book was released on 1890 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Descriptive Treatise on Mining Machinery Tools and Other Appliances Used in Mining written by George Guillaume André and published by BoD – Books on Demand. This book was released on 2024-06-27 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reprint of the original, first published in 1877.
Download or read book A Descriptive Treatise on Mining Machinery Tools and Other Appliances Used in Mining written by George Guillaume André and published by . This book was released on 1877 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Descriptive Treatise on Mining Machinery written by George Guillaume André and published by . This book was released on 1877 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book A Textbook of Machine Design written by RS Khurmi | JK Gupta and published by S. Chand Publishing. This book was released on 2005 with total page 1278 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present multicolor edition has been throughly revised and brought up-to-date.Multicolor pictures have been added to enhance the content value and to give the students an idea of what he will be dealing in reality,and to bridge the gap between theory and practice.this book ahs already been include in the 'suggested reading'for the A.M.I.E.(India)examinations.
