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Cohomology of Finite Groups
by Adem, Alejandro    Milgram, R. James   
(Paperback - English - 9783642057854)
Some Historical Background This book deals with the cohomology of groups, particularly finite ones. Historically, the subject has been one of significant interaction between algebra and topology and has directly led to the creation of such important areas of mathematics as homo- logical algebra and algebraic K-theory. It arose primarily in the 1920's and 1930's independently in number theory and topology. In topology the main focus was on the work ofH. Hopf, but B. Eckmann, S. Eilenberg, and S. MacLane (among others) made significant contributions. The main thrust of the early work here was to try to understand the meanings of the low dimensional homology groups ..
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Rp. 2.761.000
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Algorithmic Topology and Classification of 3-Manifolds
by Matveev, Sergei       
(Paperback - English - 9783642079603)
From the reviews of the 1st edition: This book provides a comprehensive and detailed account of different topics in algorithmic 3-dimensional topology, culminating with the recognition procedure for Haken manifolds and including the up-to-date results in computer enumeration of 3-manifolds. Originating from lecture notes of various courses given by the author over a decade, the book is intended to combine the pedagogical approach of a graduate textbook (without exercises) with the completeness and reliability of a research monograph... All the material, with few exceptions, is presented from the peculiar point of view of special polyhedra and special spines o ..
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Smooth Four-Manifolds and Complex Surfaces
by Friedman, Robert    Morgan, John W.   
(Paperback - English - 9783642081712)
With this book, appearing in Springer's prestigious series Ergebnisse der Mathematik , Friedman and Morgan give a comprehensive introduction to current research in the field of applications of gauge theory to complex surfaces. Their streamlined modern presentation of this very active area of mathematical research will be very welcome to researchers and graduate students alike. The study is divided into 4 main areas: - Classical complex surface theory; - gauge theory and Donaldson invariants; - deformations of holomorphic vector bundles; - explicit calculations for elliptic surfaces. The book very successfully bridges the two areas of 4-manifold topology and comp ..
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Deformations of Surface Singularities
by Némethi, Andras    Szilárd, Agnes   
(Hardcover - English - 9783642391309)
The present publication contains a special collection of research and review articles on deformations of surface singularities, that put together serve as an introductory survey of results and methods of the theory, as well as open problems and examples. The aim is to collect material that will help mathematicians already working or wishing to work in this area to deepen their insight and eliminate the technical barriers in this learning process. Additionally, we introduce some material which emphasizes the newly found relationship with the theory of Stein fillings and symplectic geometry. This links two main theories of mathematics: low dimensional topology and ..
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Rp. 2.791.000
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Rp. 2.373.000
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The Theory of Ultrafilters
by Comfort, W. W.    Negrepontis, S.   
(Paperback - English - 9783642657825)
An ultrafilter is a truth-value assignment to the family of subsets of a set, and a method of convergence to infinity. From the first (logical) property arises its connection with two-valued logic and model theory; from the second (convergence) property arises its connection with topology and set theory. Both these descriptions of an ultrafilter are connected with compactness. The model-theoretic property finds its expression in the construction of the ultraproduct and the compactness type of theorem of Los (implying the compactness theorem of first-order logic); and the convergence property leads to the process of completion by the adjunction of an ideal elemen ..
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Rp. 3.768.000
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Rp. 3.204.000
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Cyclic Homology
by Loday, Jean-Louis       
(Paperback - English - 9783642083167)
In this 2nd edition a new chapter 13 on MacLane (co)homology is added. It is compared with a variant of algebraic K-theory called stable K-theory. It turns out that these two theories are isomorphic. The main tool for this comparison is a third theory constructed from derived functors over the category of polynomial functors. This chapter is a transition from the content of the first 12 ch. ..
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Topological Methods in Data Analysis and Visualization: Theory, Algorithms, and Applications
by Pascucci, Valerio    Tricoche, Xavier    Hagen, Hans
(Hardcover - English - 9783642150135)
Topology-based methods are of increasing importance in the analysis and visualization of dataset from a wide variety of scientific domains such as biology, physics, engineering, and medicine. Current challenges of topology-based techniques include the management of time-dependent data, the representation large and complex datasets, the characterization of noise and uncertainty, the effective integration of numerical methods with robust combinatorial algorithms, etc. (see also below for a list of selected issues). While there is an increasing number of high-quality publications in this field, many fundamental questions remain unsolved. New focused efforts are nee ..
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Symplectic Geometry and Quantum Mechanics
by de Gosson, Maurice A.       
(Hardcover - English - 9783764375744)
Introduction We have been experiencing since the 1970s a process of "symplectization" of S- ence especially since it has been realized that symplectic geometry is the natural language of both classical mechanics in its Hamiltonian formulation, and of its re?nement, quantum mechanics. The purposeof this bookis to providecorema- rial in the symplectic treatment of quantum mechanics, in both its semi-classical and in its "full-blown" operator-theoretical formulation, with a special emphasis on so-called phase-space techniques. It is also intended to be a work of reference for the reading of more advanced texts in the rapidly expanding areas of sympl- tic geometry a ..
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Rp. 5.508.000
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Categorical Homotopy Theory
by Riehl, Emily       
(Hardcover - English - 9781107048454)
This book develops abstract homotopy theory from the categorical perspective with a particular focus on examples. Partdiscusses two competing perspectives by which one typically first encounters homotopy (co)limits: either as derived functors definable when the appropriate diagram categories admit a compatible model structure, or through particular formulae that give the right notion in certain examples. Riehl unifies these seemingly rival perspectives and demonstrates that model structures on diagram categories are irrelevant. Homotopy (co)limits are explained to be a special case of weighted (co)limits, a foundational topic in enriched category theory. In Part ..
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Rp. 2.541.000
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Rp. 2.160.000
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Topology of 4-Manifolds (Pms-39), Volume 39
by Freedman, Michael H.    Quinn, Frank   
(Paperback - English - 9780691602899)
One of the great achievements of contemporary mathematics is the new understanding of four dimensions. Michael Freedman and Frank Quinn have been the principals in the geometric and topological development of this subject, proving the Poincar and Annulus conjectures respectively. Recognition for this work includes the award of the Fields Medal of the International Congress of Mathematicians to Freedman in 1986. In Topology of 4-Manifolds these authors have collaborated to give a complete and accessible account of the current state of knowledge in this field. The basic material has been considerably simplified from the original publications, and should be accessi ..
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Rp. 1.439.000
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Rp. 1.223.000
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Morse Theory: Smooth and Discrete
by Knudson, Kevin P.       
(Hardcover - English - 9789814630962)
"The book fills a gap existing in the literature. His book covers both theories in an introductory way. It is self-contained. In addition, many detailed and motivational examples are included, so even the non-specialist reader will find the text clear and user-friendly. This book could be a nice text for a course on Morse theory in a wide sense. Researchers interested specifically in an introduction to discrete Morse theory can now avoid looking for various papers or sections of several books." Mathematical Reviews Clippings Morse Theory: Smooth and Discrete serves as an introduction to classical smooth Morse theory and to Forman's discrete Morse theory, ..
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Rp. 1.534.000
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Rp. 1.304.000
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Foundations of Combinatorial Topology
by Pontryagin, L. S.       
(Paperback - English - 9780486406855)
Hailed by The Mathematical Gazette as an extremely valuable addition to the literature of algebraic topology, this concise but rigorous introductory treatment focuses on applications to dimension theory and fixed-point theorems. The lucid text examines complexes and their Betti groups, including Euclidean space, application to dimension theory, and decomposition into components; invariance of the Betti groups, with consideration of the cone construction and barycentric subdivisions of a complex; and continuous mappings and fixed points. Proofs are presented in a complete, careful, and elegant manner. br In addition to its value as a one-semester text for gradua ..
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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. 215.000
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Rp. 182.000
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Introduction to Topology
by Lefschetz, Solomon       
(Paperback - English - 9780691627502)
In this book, which may be used as a self-contained text for a beginning course, Professor Lefschetz aims to give the reader a concrete working knowledge of the central concepts of modern combinatorial topology: complexes, homology groups, mappings in spheres, homotopy, transformations and their fixed points, manifolds and duality theorems. Each chapter ends with a group of problems. Originally published in 1949. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important ..
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Rp. 1.147.000
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The Geometry of Celestial Mechanics
by Geiges, Hansjörg       
(Paperback - English - 9781107564800)
Celestial mechanics is the branch of mathematical astronomy devoted to studying the motions of celestial bodies subject to the Newtonian law of gravitation. This mathematical introductory textbook reveals that even the most basic question in celestial mechanics, the Kepler problem, leads to a cornucopia of geometric concepts: conformal and projective transformations, spherical and hyperbolic geometry, notions of curvature, and the topology of geodesic flows. For advanced undergraduate and beginning graduate students, this book explores the geometric concepts underlying celestial mechanics and is an ideal companion for introductory courses. The focus on the histo ..
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Rp. 1.239.000
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Rp. 1.053.000
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Fibre Bundles
by Husemöller, Dale       
(Paperback - English - 9781475722635)
Fibre bundles play an important role in just about every aspect of modern geometry and topology. Basic properties, homotopy classification, and characteristic classes of fibre bundles have become an essential part of graduate mathematical education for students in geometry and mathematical physics. In this third edition two new chapters on the gauge group of a bundle and on the differential forms representing characteristic classes of complex vector bundles on manifolds have been added. These chapters result from the important role of the gauge group in mathematical physics and the continual usefulness of characteristic classes defined with connections on vector ..
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Rp. 2.171.000
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Rp. 1.846.000
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Representing 3-Manifolds by Filling Dehn Surfaces
by Vigara Benito, Ruben    Lozano-Rojo, Alvaro   
(Hardcover - English - 9789814725484)
This book provides an introduction to the beautiful and deep subject of filling Dehn surfaces in the study of topological 3-manifolds. This book presents, for the first time in English and with all the details, the results from the PhD thesis of the first author, together with some more recent results in the subject. It also presents some key ideas on how these techniques could be used on other subjects.Representing 3-Manifolds by Filling Dehn Surfaces is mostly self-contained requiring only basic knowledge on topology and homotopy theory. The complete and detailed proofs are illustrated with a set of more than 600 spectacular pictures, in the tradition of low-d ..
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Étale Cohomology (Pms-33), Volume 33
by Milne, James S.       
(Paperback - English - 9780691171104)
One of the most important mathematical achievements of the past several decades has been A. Grothendieck's work on algebraic geometry. In the early 1960s, he and M. Artin introduced tale cohomology in order to extend the methods of sheaf-theoretic cohomology from complex varieties to more general schemes. This work found many applications, not only in algebraic geometry, but also in several different branches of number theory and in the representation theory of finite and i -adic groups. Yet until now, the work has been available only in the original massive and difficult papers. In order to provide an accessible introduction to tale cohomology, J. S. Milne of ..
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Rp. 1.383.000
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Piecewise Linear Structures on Topological Manifolds
by Rudyak, Yuli       
(Hardcover - English - 9789814733786)
The study of triangulations of topological spaces has always been at the root of geometric topology. Among the most studied triangulations are piecewise linear triangulations of high-dimensional topological manifolds. Their study culminated in the late 1960s-early 1970s in a complete classification in the work of Kirby and Siebenmann. It is this classification that we discuss in this book, including the celebrated Hauptvermutung and Triangulation Conjecture.The goal of this book is to provide a readable and well-organized exposition of the subject, which would be suitable for advanced graduate students in topology. An exposition like this is currently lacking. ..
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Notes on Crystalline Cohomology. (Mn-21)
by Berthelot, Pierre    Ogus, Arthur   
(Hardcover - English - 9780691648323)
Written by Arthur Ogus on the basis of notes from Pierre Berthelot's seminar on crystalline cohomology at Princeton University in the spring of 1974, this book constitutes an informal introduction to a significant branch of algebraic geometry. Specifically, it provides the basic tools used in the study of crystalline cohomology of algebraic varieties in positive characteristic. Originally published in 1978. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books ..
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