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Knots and Physics (Fourth Edition)
by Kauffman, Louis H.       
(Paperback - English - 9789814383011)
This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas.The book is divided into two parts: Partis a systematic course on knots and physics startin ..
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Rp. 1.922.000
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Rp. 2.260.000
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Frames and Locales: Topology Without Points
by Picado, Jorge    Pultr, Ales   
(Paperback - English - 9783034801539)
Until the mid-twentieth century, topological studies were focused on the theory of suitable structures on sets of points. The concept of open set exploited since the twenties offered an expression of the geometric intuition of a realistic place (spot, grain) of non-trivial extent. Imitating the behaviour of open sets and their relations led to a new approach to topology flourishing since the end of the fifties.It has proved to be beneficial in many respects. Neglecting points, only little information was lost, while deeper insights have been gained; moreover, many results previously dependent on choice principles became constructive. The result is often a smooth ..
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Rp. 1.647.000
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Rp. 1.936.000
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Knots and Physics (Fourth Edition)
by Kauffman, Louis H.       
(Hardcover - English - 9789814383004)
This invaluable book is an introduction to knot and link invariants as generalized amplitudes for a quasi-physical process. The demands of knot theory, coupled with a quantum-statistical framework, create a context that naturally and powerfully includes an extraordinary range of interrelated topics in topology and mathematical physics. The author takes a primarily combinatorial stance toward knot theory and its relations with these subjects. This stance has the advantage of providing direct access to the algebra and to the combinatorial topology, as well as physical ideas.The book is divided into two parts: Partis a systematic course on knots and physics startin ..
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HARGA DISKON 29-31 MARET 2023
Rp. 3.827.000
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Rp. 4.500.000
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Etale Cohomology Theory
by Fu, Lei       
(Hardcover - English - 9789814307727)
New Edition available hereEtale cohomology is an important branch in arithmetic geometry. This book covers the main materials in SGA 1, SGA 4, SGA 4 1 2 and SGA 5 on etale cohomology theory, which includes decent theory, etale fundamental groups, Galois cohomology, etale cohomology, derived categories, base change theorems, duality, and l-adic cohomology. The prerequisites for reading this book are basic algebraic geometry and advanced commutative algebra. ..
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Rp. 3.712.000
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Orbifolds and Stringy Topology
by Adem, Alejandro    Leida, Johann    Ruan, Yongbin
(Hardcover - English - 9780521870047)
An introduction to the theory of orbifolds from a modern perspective, combining techniques from geometry, algebraic topology and algebraic geometry. One of the main motivations, and a major source of examples, is string theory, where orbifolds play an important role. The subject is first developed following the classical description analogous to manifold theory, after which the book branches out to include the useful description of orbifolds provided by groupoids, as well as many examples in the context of algebraic geometry. Classical invariants such as de Rham cohomology and bundle theory are developed, a careful study of orbifold morphisms is provided, and th ..
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Rp. 2.608.000
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Rp. 3.067.000
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Homotopy Limits, Completions and Localizations
by Bousfield, A. K.    Kan, D. M.   
(Paperback - English - 9783540061052)
The main purpose of partof these notes is to develop for a ring R a functional notion of R-completion of a space X. For R=Zp and X subject to usual finiteness condition, the R-completion coincides up to homotopy, with the p-profinite completion of Quillen and Sullivan; for R a subring of the rationals, the R-completion coincides up to homotopy, with the localizations of Quillen, Sullivan and others. In part II of these notes, the authors have assembled some results on towers of fibrations, cosimplicial spaces and homotopy limits which were needed in the discussions of part I, but which are of some interest in themselves. ..
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Fundamentals of General Topology: Problems and Exercises
by Arkhangel'skii, A. V.    Ponomarev, V. I.   
(Hardcover - English - 9789027713551)
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A Guide to the Classification Theorem for Compact Surfaces
by Gallier, Jean    Xu, Dianna   
(Hardcover - English - 9783642343636)
The Classification Theorem: Informal Presentation.- Surfaces.- Simplices, Complexes, and Triangulations.- The Fundamental Group, Orientability.- Homology Groups.- The Classification Theorem for Compact Surfaces.- Viewing the Real Projective Plane in R3.- Proof of Proposition 5.1.- Topological Preliminaries.- History of the Classification Theorem.- Every Surface Can be Triangulated.- Notes​. ..
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Lectures on Chern-Weil Theory and Witten Deformations
by Zhang, Weiping       
(Paperback - English - 9789810246860)
This invaluable book is based on the notes of a graduate course on differential geometry which the author gave at the Nankai Institute of Mathematics. It consists of two parts: the first part contains an introduction to the geometric theory of characteristic classes due to Shiing-shen Chern and Andr Weil, as well as a proof of the Gauss-Bonnet-Chern theorem based on the Mathai-Quillen construction of Thom forms; the second part presents analytic proofs of the Poincar -Hopf index formula, as well as the Morse inequalities based on deformations introduced by Edward Witten. ..
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Special Order
Buku Special Order biasanya dipenuhi dalam 4-7 minggu. Tidak bisa menggabungkan buku ini dengan buku lain dalam satu order. Buku dikirim kurir lokal dengan nomor lacak
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Rp. 644.000
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Rp. 757.000
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Mystery of Knots, The: Computer Programming for Knot Tabulation
by Aneziris, Charilaos N.       
(Hardcover - English - 9789810238780)
One of the most significant unsolved problems in mathematics is the complete classification of knots. The main purpose of this book is to introduce the reader to the use of computer programming to obtain the table of knots. The author presents this problem as clearly and methodically as possible, starting from the very basics. Mathematical ideas and concepts are extensively discussed, and no advanced background is required. ..
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Special Order
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Rp. 1.932.000
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Rp. 2.271.000
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Topological Groups and Related Structures
by Arhangel'skii, Alexander    Tkachenko, Mikhail   
(Hardcover - English - 9789078677062)
This book presents a large amount of material, both classic and recent (on occasion, unpublished) about the relations of Algebra and Topology. It therefore belongs to the area called Topological Algebra. More specifically, the objects of the study are subtle and sometimes unexpected phenomena that occur when the continuity meets and properly feeds an algebraic operation. Such a combination gives rise to many classic structures, including topological groups and semigroups, paratopological groups, etc. Special emphasis is given to tracing the influence of compactness and its generalizations on the properties of an algebraic operation, causing on occasion the autom ..
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Special Order
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Rp. 4.245.000
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Rp. 4.992.000
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Quantum Invariants: A Study of Knots, 3-Manifolds, and Their Sets
by Ohtsuki, Tomotada       
(Hardcover - English - 9789810246754)
This book provides an extensive and self-contained presentation of quantum and related invariants of knots and 3-manifolds. Polynomial invariants of knots, such as the Jones and Alexander polynomials, are constructed as quantum invariants, i.e. invariants derived from representations of quantum groups and from the monodromy of solutions to the Knizhnik-Zamolodchikov equation. With the introduction of the Kontsevich invariant and the theory of Vassiliev invariants, the quantum invariants become well-organized. Quantum and perturbative invariants, the LMO invariant, and finite type invariants of 3-manifolds are discussed. The Chern-Simons field theory and the Wess ..
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Cech and Steenrod Homotopy Theories with Applications to Geometric Topology
by Edwards, D. A.    Hastings, H. M.   
(Paperback - English - 9783540078630)
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Rp. 1.548.000
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General Topology
by Berberian, S. K.    Dixmier, J.   
(Hardcover - English - 9780387909721)
This book is a course in general topology, intended for students in the first year of the second cycle (in other words, students in their third univer- sity year). The course was taught during the first semester of the 1979-80 academic year (three hours a week of lecture, four hours a week of guided work). Topology is the study of the notions of limit and continuity and thus is, in principle, very ancient. However, we shall limit ourselves to the origins of the theory since the nineteenth century. One of the sources of topology is the effort to clarify the theory of real-valued functions of a real variable: uniform continuity, uniform convergence, equicontinuity ..
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Rp. 1.781.000
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Manifolds with Cusps of Rank One: Spectral Theory and L2-Index Theorem
by Müller, Werner       
(Paperback - English - 9783540176961)
The manifolds investigated in this monograph are generalizations of (XX)-rank one locally symmetric spaces. In the first part of the book the author develops spectral theory for the differential Laplacian operator associated to the so-called generalized Dirac operators on manifolds with cusps of rank one. This includes the case of spinor Laplacians on (XX)-rank one locally symmetric spaces. The time-dependent approach to scattering theory is taken to derive the main results about the spectral resolution of these operators. The second part of the book deals with the derivation of an index formula for generalized Dirac operators on manifolds with cusps of rank one ..
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Algebraic Topology from a Homotopical Viewpoint
by Aguilar, Marcelo    Sontz, S. B.    Gitler, Samuel
(Hardcover - English - 9780387954509)
This is an introductory text for a first course in algebraic topology. The authors present the beginning material in algebraic topology from a novel point of view in using a homotopy-theoretic approach. This point of view clearly has applications in algebraic geometry as understood by Lawson and Voevodsky. This carefully written book can be read by any student who knows some topology. It will be a useful place to quickly learn this novel homotoy-theoretic point of view of algebraic topology. ..
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Computational Homology
by Kaczynski, Tomasz    Mischaikow, Konstantin    Mrozek, Marian
(Hardcover - English - 9780387408538)
This interdisciplinary book uses the computer to take a combinatorial computational approach to homological problems. It will appeal especially to researchers and students in mathematics, computer science, nonlinear dynamics, and engineering. ..
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Introduction to Differentiable Manifolds
by Lang, Serge       
(Hardcover - English - 9780387954776)
This book gives an introduction to the basic concepts which are used in differential topology, differential geometry, and differential equations. The author's book, Fundamentals of Differential Geometry, can be viewed as a continuation of the present book. Since this book is intended as a text to follow advanced calculus, manifolds are assumed finite dimensional. The author has made numerous corrections to this new edition, and he has also added a chapter on applications of Stokes' Theorem. ..
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Rp. 2.772.000
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Etale Cohomology and the Weil Conjecture
by Freitag, Eberhard    Dieudonne, J. a.    Waterhouse, Betty S.
(Paperback - English - 9783662025437)
Some years ago a conference on l-adic cohomology in Oberwolfach was held with the aim of reaching an understanding of Deligne's proof of the Weil conjec- tures. For the convenience of the speakers the present authors - who were also the organisers of that meeting - prepared short notes containing the central definitions and ideas of the proofs. The unexpected interest for these notes and the various suggestions to publish them encouraged us to work somewhat more on them and fill out the gaps. Our aim was to develop the theory in as self- contained and as short a manner as possible. We intended especially to provide a complete introduction to etale and l-adic coh ..
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Topology, Geometry and Gauge Fields: Foundations
by Naber, Gregory L.       
(Hardcover - English - 9781441972538)
Contents: Preface.- Physical and geometrical motivation 1 Topological spaces.- Homotopy groups.- Principal bundles.- Differentiable manifolds and matrix Lie groups.- Gauge fields and Instantons. Appendix. References. Index ..
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