Topological Methods in Algebraic Geometry PDF Download
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Author: Friedrich Hirzebruch
Publisher: Springer
ISBN: 3662306972
Category : Mathematics
Languages : en
Pages : 241
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Book Description
Author: Friedrich Hirzebruch
Publisher: Springer
ISBN: 3662306972
Category : Mathematics
Languages : en
Pages : 241
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Book Description
Author: G. Giachetta
Publisher: World Scientific
ISBN: 9812701265
Category : Science
Languages : en
Pages : 715
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Book Description
In the last decade, the development of new ideas in quantum theory, including geometric and deformation quantization, the non-Abelian Berry''s geometric factor, super- and BRST symmetries, non-commutativity, has called into play the geometric techniques based on the deep interplay between algebra, differential geometry and topology. The book aims at being a guide to advanced differential geometric and topological methods in quantum mechanics. Their main peculiarity lies in the fact that geometry in quantum theory speaks mainly the algebraic language of rings, modules, sheaves and categories. Geometry is by no means the primary scope of the book, but it underlies many ideas in modern quantum physics and provides the most advanced schemes of quantization.
Author: L. F. McAuley
Publisher:
ISBN: 9783662193242
Category :
Languages : en
Pages : 300
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Book Description
Author: L.F. McAuley
Publisher: Springer
ISBN: 3540373004
Category : Mathematics
Languages : en
Pages : 294
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Book Description
Author: Glen E. Bredon
Publisher: Springer Science & Business Media
ISBN: 0387979263
Category : Mathematics
Languages : en
Pages : 580
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Book Description
This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: "An interesting and original graduate text in topology and geometry...a good lecturer can use this text to create a fine course....A beginning graduate student can use this text to learn a great deal of mathematics."—-MATHEMATICAL REVIEWS
Author: Louis F. McAuley
Publisher:
ISBN:
Category : Algebraic topology
Languages : en
Pages : 0
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Book Description
Author: M. Karoubi
Publisher: Cambridge University Press
ISBN: 9780521317146
Category : Mathematics
Languages : en
Pages : 380
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Book Description
In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and the algebra required. The reader is introduced to De Rham cohomology, and explicit and detailed calculations are present as examples. Topics covered include Mayer-Vietoris exact sequences, relative cohomology, Pioncare duality and Lefschetz's theorem. This book will be suitable for graduate students taking courses in algebraic topology and in differential topology. Mathematicians studying relativity and mathematical physics will find this an invaluable introduction to the techniques of differential geometry.
Author: Charles Nash
Publisher: Courier Corporation
ISBN: 0486318362
Category : Mathematics
Languages : en
Pages : 302
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Book Description
Written by physicists for physics students, this text assumes no detailed background in topology or geometry. Topics include differential forms, homotopy, homology, cohomology, fiber bundles, connection and covariant derivatives, and Morse theory. 1983 edition.
Author: Julian Lowell Coolidge
Publisher: Courier Corporation
ISBN: 0486158535
Category : Mathematics
Languages : en
Pages : 484
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Book Description
Full and authoritative, this history of the techniques for dealing with geometric questions begins with synthetic geometry and its origins in Babylonian and Egyptian mathematics; reviews the contributions of China, Japan, India, and Greece; and discusses the non-Euclidean geometries. Subsequent sections cover algebraic geometry, starting with the precursors and advancing to the great awakening with Descartes; and differential geometry, from the early work of Huygens and Newton to projective and absolute differential geometry. The author's emphasis on proofs and notations, his comparisons between older and newer methods, and his references to over 600 primary and secondary sources make this book an invaluable reference. 1940 edition.
Author: Sergeĭ Vladimirovich Matveev
Publisher: European Mathematical Society
ISBN: 9783037190234
Category : Mathematics
Languages : en
Pages : 112
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Book Description
Algebraic topology is the study of the global properties of spaces by means of algebra. It is an important branch of modern mathematics with a wide degree of applicability to other fields, including geometric topology, differential geometry, functional analysis, differential equations, algebraic geometry, number theory, and theoretical physics. This book provides an introduction to the basic concepts and methods of algebraic topology for the beginner. It presents elements of both homology theory and homotopy theory, and includes various applications. The author's intention is to rely on the geometric approach by appealing to the reader's own intuition to help understanding. The numerous illustrations in the text also serve this purpose. Two features make the text different from the standard literature: first, special attention is given to providing explicit algorithms for calculating the homology groups and for manipulating the fundamental groups. Second, the book contains many exercises, all of which are supplied with hints or solutions. This makes the book suitable for both classroom use and for independent study.
