Basic topology 3, Adhikari, Mahima Ranjan

Автор: Nakahara, M. (department Of Mathematics And Physic
Название: Geometry, topology and physics
ISBN: 0750306068 ISBN-13(EAN): 9780750306065
Издательство: Taylor&Francis
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Цена: 91860.00 T
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Описание: Offers an introduction to the ideas and techniques of differential geometry and topology. This work starts with a brief survey of quantum field theory, gauge theory, general relativity, vector spaces, and topology. It also demonstrates elaborate concepts of topology and geometry, including fiber bundles, characteristic classes, and index theorems.

Автор: Daverman, RJ, Sher, RB
Название: Handbook of Geometric Topology,
ISBN: 0444824324 ISBN-13(EAN): 9780444824325
Издательство: Elsevier Science
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Цена: 252650.00 T
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Описание: Geometric Topology is a foundational component of modern mathematics, involving the study of spacial properties and invariants of familiar objects such as manifolds and complexes. This volume consists of 21 expository surveys written by leading experts and covering active areas of research.

Автор: Ingemar Bengtsson, Karol Zyczkowski
Название: Geometry of Quantum States : An Introduction to Quantum Entanglement
ISBN: 1107656141 ISBN-13(EAN): 9781107656147
Издательство: Cambridge Academ
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Цена: 57030.00 T
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Описание: The second edition of a book that has become a standard reference for researchers working on geometric aspects of quantum entanglement and quantum theory of information. Its comprehensive style makes it suitable for students of physics, information science, and mathematics wishing to learn more about quantum mechanics and quantum entanglement.

Автор: Afra J. Zomorodian
Название: Topology for Computing
ISBN: 0521836662 ISBN-13(EAN): 9780521836661
Издательство: Cambridge Academ
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Цена: 116160.00 T
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Описание: This book presents the basic concepts from the emerging field of computational topology that combines topology theory with the power of computing to solve problems in diverse fields. Written from a computer science perspective, the book enables non-specialists to grasp the ideas and so participate in current research in computational topology.

Автор: Nils Baas; Eric Friedlander; Bj?rn Jahren; Paul Ar
Название: Algebraic Topology
ISBN: 3642260683 ISBN-13(EAN): 9783642260681
Издательство: Springer
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Цена: 153720.00 T
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Описание: The 2007 Abel Symposium brought together mathematicians whose research has led to recent advances in algebraic geometry, algebraic K-theory, algebraic topology and mathematical physics. This book offers the highlights of that symposium.

Автор: Herbera
Название: Extended Abstracts Spring 2015
ISBN: 3319454404 ISBN-13(EAN): 9783319454405
Издательство: Springer
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Цена: 111790.00 T
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Описание: Homological Algebra on an Adams Algebraic Stack.- Lyubeznik Numbers of Local Rings and Linear Strands of Graded Ideals.- The Heart of a t-Structure Induced by a n-Tilting Module.- On Some Local Cohomology Spectral Sequences.- Homotopy Representations of Classifying Spaces.- Decomposing Gorenstein Rings as Connected Sums.- Rigid and Test Modules.- Tate Homology Beyond Gorenstein Rings.- On the Classication of Artin Algebras and the Inverse System of Macaulay.- Purity in Categories of Sheaves.- Idempotent Functors and Nilpotent Spaces.- Decomposition Spaces and Incidence (Co)Algebras.- Cellular Approximations for Fusion Systems.- Homological Epimorphisms and the Lie Bracket in Hochschild Cohomology.- Gorenstein Projective Precovers.- Hochschild Homology on Schemes and Fundamental Class.- A Remark on Leclerc's Frobenius Categories.- Atom-Molecule Correspondence in Grothendieck Categories.- Proalgebraic Crossed Modules of QuasirationalPresentations.- Some F-Invariants for Quotient Singularities.- Strong Generation of Some Derived Categories of Schemes.- Regularity of Products over Quadratic Hypersurfaces.- Phantom Maps and Representability.- Six Operations on dg Enhancements of Derived Categories of Sheaves and Applications.- Tensor Product of Dualizing Complexes over a Field.- Strong Generators in Tensor Triangulated Categories.- Abelian Model Structures and Applications.- Singularity Categories of Stable Resolving Subcategories and Applications to Gorenstein Rings.- Classes of Flat Modules Arising in AlgebraicGeometry and Approximations.- The Dual Graph of an Arithmetically GorensteinScheme.- Baez-Dolan Stabilization via (Semi-)Model Categories of Operads.- Vanishing of Tor.- Prime Ideals in Noetherian Rings.

Автор: Arzhantsev
Название: Cox Rings
ISBN: 1107024625 ISBN-13(EAN): 9781107024625
Издательство: Cambridge Academ
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Цена: 53850.00 T
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Описание: This book gives a systematic and self-contained introduction to Cox rings, which allows for explicit treatment of advanced topics in algebraic geometry. It provides students and researchers with a straightforward guide to this field of research. Applications in algebraic and arithmetic geometry are discussed.

Автор: Armstrong MA
Название: Basic Topology
ISBN: 1441928197 ISBN-13(EAN): 9781441928191
Издательство: Springer
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Цена: 45610.00 T
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Описание: In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for calculating them. Students with knowledge of real analysis, elementary group theory, and linear algebra will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology. Over 139 illustrations and more than 350 problems of various difficulties will help students gain a rounded understanding of the subject.

Автор: Naber
Название: Topology, Geometry and Gauge fields
ISBN: 1441972536 ISBN-13(EAN): 9781441972538
Издательство: Springer
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Цена: 69870.00 T
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Описание: This is a book on topology and geometry and, like any books on subjects as vast as these, it has a point-of-view that guided the selection of topics. Naber takes the view that the rekindled interest that mathematics and physics have shown in each other of late should be fostered and that this is best accomplished by allowing them to cohabit. The book weaves together rudimentary notions from the classical gauge theory of physics with the topological and geometrical concepts that became the mathematical models of these notions. We ask the reader to come to us with some vague notion of what an electromagnetic field might be, a willingness to accept a few of the more elementary pronouncements of quantum mechanics, a solid background in real analysis and linear algebra and some of the vocabulary of modern algebra. To such a reader we offer an excursion that begins with the definition of a topological space and finds its way eventually to the moduli space of anti-self-dual SU(2) connections on S4 with instanton number -1. Iwould go over both volumes thoroughly and make some minor changes in terminology and notation and correct any errors I find. In this new edition, a chapter on Singular Homology will be added as well as minor changes in notation and terminology throughout and some sections have been rewritten or omitted. Reviews of First Edition: “It is unusual to find a book so carefully tailored to the needs of this interdisciplinary area of mathematical physics...Naber combines a knowledge of his subject with an excellent informal writing style. (NZMS Newletter) ...this book should be very interesting for mathematicians and physicists (as well as other scientists) who are concerned with gauge theories. (Zentralblatt Fuer Mathematik)

Автор: D.B. O`Shea; A.V. Arkhangel`skii; A.V. Arkhangel`s
Название: General Topology I
ISBN: 3642647677 ISBN-13(EAN): 9783642647673
Издательство: Springer
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Цена: 97820.00 T
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Описание: General topology is the domain ofmathematics devoted to the investigation of the concepts of continuity and passage to a limit at their natural level of generality. The most basic concepts of general topology, that of a topological space and a continuous map, were introduced by Hausdorffin 1914. Oneofthecentralproblemsoftopologyisthedeterminationandinvestigation of topological invariants; that is, properties ofspaces which are preserved under homeomorphisms. Topological invariants need not be numbers. Connectedness, compactness, andmetrizability, forexample, arenon-numericaltopologicalinvariants.Dimen- sional invariants, on the otherhand, areexamplesofnumericalinvariants which take integervalues on specific topological spaces. Part II ofthis book is devoted to them. Topological invariants which take values in the cardinal numbers play an especially important role, providing the raw material for many useful coin" putations. Weight, density, character, and Suslin number are invariants ofthis type. Certain classes of topological spaces are defined in terms of topological in- variants. Particularly important examples include the metrizable spaces, spaces with a countable base, compact spaces, Tikhonov spaces, Polish spaces, Cech- complete spaces and the symmetrizable spaces.

Автор: Adhikari, Avishek Adhikari, Mahima Ranjan
Название: Basic Topology 1
ISBN: 9811665087 ISBN-13(EAN): 9789811665080
Издательство: Springer
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Цена: 46570.00 T
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Описание: "The Earliest China" is the first archaeological book in China to translate in the dominant language of the world on the origin of Chinese ancient civilization in the Central Plains and the study of Xia dynastic culture.

Автор: Decker
Название: A First Course in Computational Algebraic Geometry
ISBN: 1107612535 ISBN-13(EAN): 9781107612532
Издательство: Cambridge Academ
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Цена: 16890.00 T
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Описание: This quick guide is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. It provides a compact presentation of the basic theory, with particular emphasis on explicit computational examples using the computer algebra system Singular.