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Strong Shape and Homology
ISBN: 9783540661986 / Angielski / Twarda / 489 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Shape theory is an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces. Besides applications in topology, it has interesting applications in various other areas of mathematics, especially in dynamical systems and C*-algebras. Strong shape is a refinement of ordinary shape with distinct advantages over the latter. Strong homology generalizes Steenrod homology and is an invariant of strong shape. The book gives a detailed account based on approximation of spaces by polyhedra (ANR's) using the technique of inverse systems. It is intended for researchers and graduate...
Shape theory is an extension of homotopy theory from the realm of CW-complexes to arbitrary spaces. Besides applications in topology, it has interesti...
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403,47 zł |
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Topology-Based Methods in Visualization
ISBN: 9783540708223 / Angielski / Twarda / 222 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Enabling insight into large and complex datasets is a prevalent theme in visualization research for which different approaches are pursued. Topology-based methods are built on the idea of abstracting characteristic structures such as the topological skeleton from the data and to construct the visualizations accordingly. There are currently new demands for and renewed interest in topology-based visualization solutions. This book presents 13 peer-reviewed papers as written results from the 2005 workshop "Topology-Based Methods in Visualization" that was initiated to enable additional... Enabling insight into large and complex datasets is a prevalent theme in visualization research for which different approaches are pursued. |
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605,23 zł |
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Punctured Torus Groups and 2-Bridge Knot Groups (I)
ISBN: 9783540718062 / Angielski / Miękka / 304 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Here is the first part of a work that provides a full account of Jorgensen's theory of punctured torus Kleinian groups and its generalization. It offers an elementary and self-contained description of Jorgensen's theory with a complete proof. Through various informative illustrations, readers are naturally led to an intuitive, synthetic grasp of the theory, which clarifies how a very simple fuchsian group evolves into complicated Kleinian groups. Here is the first part of a work that provides a full account of Jorgensen's theory of punctured torus Kleinian groups and its generalization. It o... |
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201,72 zł |
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Combinatorial Algebraic Topology
ISBN: 9783540719618 / Angielski / Twarda / 412 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Combinatorial algebraic topology is a fascinating and dynamic field at the crossroads of algebraic topology and discrete mathematics. This volume is the first comprehensive treatment of the subject in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology, including Stiefel-Whitney characteristic classes, which are needed for the later parts. Readers - graduate students and working mathematicians alike - will probably find particularly useful the second part, which contains an in-depth discussion of the major research techniques of... Combinatorial algebraic topology is a fascinating and dynamic field at the crossroads of algebraic topology and discrete mathematics. This volume i... |
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484,18 zł |
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String Topology and Cyclic Homology
ISBN: 9783764321826 / Angielski / Miękka / 163 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book explores string topology, Hochschild and cyclic homology, assembling material from a wide scattering of scholarly sources in a single practical volume. The first part offers a thorough and elegant exposition of various approaches to string topology and the Chas-Sullivan loop product. The second gives a complete and clear construction of an algebraic model for computing topological cyclic homology. This book explores string topology, Hochschild and cyclic homology, assembling material from a wide scattering of scholarly sources in a single pra... |
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108,75 zł |
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de Rham Cohomology of Differential Modules on Algebraic Varieties
ISBN: 9783764363482 / Angielski / Twarda / 214 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This is a study of algebraic differential modules in several variables, and of some of their relations with analytic differential modules. Let us explain its source. The idea of computing the cohomology of a manifold, in particular its Betti numbers, by means of differential forms goes back to E. Cartan and G. De Rham. In the case of a smooth complex algebraic variety X, there are three variants: i) using the De Rham complex of algebraic differential forms on X, ii) using the De Rham complex of holomorphic differential forms on the analytic an manifold X underlying X, iii) using the De Rham...
This is a study of algebraic differential modules in several variables, and of some of their relations with analytic differential modules. Let us expl...
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cena:
403,47 zł |
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Homotopy Theoretic Methods in Group Cohomology
ISBN: 9783764366056 / Angielski / Miękka / 98 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book looks at group cohomology with tools that come from homotopy theory. These tools give both decomposition theorems (which rely on homotopy colimits to obtain a description of the cohomology of a group in terms of the cohomology of suitable subgroups) and global structure theorems (which exploit the action of the ring of topological cohomology operations).
This book looks at group cohomology with tools that come from homotopy theory. These tools give both decomposition theorems (which rely on homotopy co...
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cena:
108,75 zł |
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Fractals in Graz 2001: Analysis -- Dynamics -- Geometry -- Stochastics
ISBN: 9783764370060 / Angielski / Twarda / 284 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This book contains the proceedings of the conference "Fractals in Graz 2001 - Analysis, Dynamics, Geometry, Stochastics" that was held in June 2001 at Graz University of Technology, Styria, Austria. The volume presents a multitude of different directions of active current research linked with the modern theory of fractal structures. All papers were written upon invitation by the editors. The book is addressed to mathematicians and scientists who are interested in any of the following topics: - fractal dimensions - fractal energies - fractal groups - stochastic processes on fractals -...
This book contains the proceedings of the conference "Fractals in Graz 2001 - Analysis, Dynamics, Geometry, Stochastics" that was held in June 2001 at...
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cena:
484,18 zł |
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Symplectic Geometry and Quantum Mechanics
ISBN: 9783764375744 / Angielski / Twarda / 392 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 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...
Introduction We have been experiencing since the 1970s a process of symplectization of S- ence especially since it has been realized that symplectic g...
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cena:
823,15 zł |
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Distance and Topology- Back to the Roots of Topology with a General Concept of Distance
ISBN: 9783836433129 / Angielski / Miękka / 160 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
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275,01 zł |
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Fundamentals of General Topology: Problems and Exercises
ISBN: 9789027713551 / Angielski / Twarda / 416 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. |
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645,58 zł |
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Abstract Homotopy and Simple Homotopy Theory
ISBN: 9789810216023 / Angielski / Twarda / 472 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Abstract homotopy theory is based on the observation that analogues of much of topological homotopy theory and simple homotopy theory exist in many other categories, such as spaces over a fixed base, groupoids, chain complexes and module categories. Studying categorical versions of homotopy structure, such as cylinders and path space constructions enables not only a unified development of many examples of known homotopy theories, but also reveals the inner working of the classical spatial theory, clearly indicating the logical interdependence of properties (in particular the existence of...
Abstract homotopy theory is based on the observation that analogues of much of topological homotopy theory and simple homotopy theory exist in many ot...
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cena:
518,10 zł |
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Symmetric Bends: How to Join Two Lengths of Cord
ISBN: 9789810221942 / Angielski / Twarda / 180 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. A bend is a knot securely joining together two lengths of cord (or string or rope), thereby yielding a single longer length. There are many possible different bends, and a natural question that has probably occurred to many is: is there a "best" bend and, if so, what is it?" Most of the well-known bends happen to be symmetric - that is, the two constituent cords within the bend have the same geometric shape and size, as well as an interrelationship. Such "symmetric bends" have great beauty, especially when the two cords bear different colours. Moreover, they have the practical advantage of...
A bend is a knot securely joining together two lengths of cord (or string or rope), thereby yielding a single longer length. There are many possible d...
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cena:
210,18 zł |
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Backgrounds of Arithmetic and Geometry: An Introduction
ISBN: 9789810222109 / Angielski / Twarda / 300 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. An introduction to the foundations of mathematics. The use of the constructive method in arithmetic and the axiomatic method in geometry gives a unitary understanding of the backgrounds of geometry, of its development and of its organic link with the study of real numbers and algebraic structures.
An introduction to the foundations of mathematics. The use of the constructive method in arithmetic and the axiomatic method in geometry gives a unita...
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cena:
410,57 zł |
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Mystery of Knots, The: Computer Programming for Knot Tabulation
ISBN: 9789810238780 / Angielski / Twarda / 408 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. 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.
One of the most significant unsolved problems in mathematics is the complete classification of knots. The main purpose of this book is to introduce th...
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cena:
635,41 zł |
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XI Brazilian Topology Meeting
ISBN: 9789810240097 / Angielski / Twarda / 208 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume reflects the work of the Brazilian topology community. It also contains the work of some topologists who either collaborate or interact with a Brazilian topologist. Most of the work has been done in algebraic and geometric topology.
This volume reflects the work of the Brazilian topology community. It also contains the work of some topologists who either collaborate or interact wi...
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cena:
356,81 zł |
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Topics in Low Dimensional Topology: In Honor of Steve Armentrout - Proceedings of the Conference on Low-Dimensional Topology
ISBN: 9789810240509 / Angielski / Twarda / 136 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Recent success with the four-dimensional Poincare conjecture has revived interest in low-dimensional topology, especially the three-dimensional Poincare conjecture and other aspects of the problems of classifying three-dimensional manifolds. These problems have a driving force, and have generated a great body of research, as well as insight.
The main topics treated in this book include a paper by V Poenaru on the Poincare conjecture and its ramifications, giving an insight into the herculean work of the author on the subject. Steve Armentrout's paper on "Bing's dogbone space" belongs to the... Recent success with the four-dimensional Poincare conjecture has revived interest in low-dimensional topology, especially the three-dimensional Poinca...
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cena:
219,95 zł |
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Knots in Hellas '98 - Proceedings of the International Conference on Knot Theory and Its Ramifications
ISBN: 9789810243401 / Angielski / Twarda / 580 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. There have been exciting developments in the area of knot theory in recent years. They include Thurston's work on geometric structures on 3-manifolds (e.g. knot complements), Gordon-Luecke work on surgeries on knots, Jones' work on invariants of links in S3, and advances in the theory of invariants of 3-manifolds based on Jones- and Vassiliev-type invariants of links. Jones ideas and Thurston's idea are connected by the following path: hyperbolic structures, PSL(2, C) representations, character varieties, quantization of the coordinate ring of the variety to skein modules (i.e. Kauffman,...
There have been exciting developments in the area of knot theory in recent years. They include Thurston's work on geometric structures on 3-manifolds ...
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cena:
865,14 zł |
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Dynamics on Lorentz Manifolds
ISBN: 9789810243821 / Angielski / Twarda / 416 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. Within the general framework of the dynamics of "large" groups on geometric spaces, the focus is on the types of groups that can act in complicated ways on Lorentz manifolds, and on the structure of the resulting manifolds and actions. This particular area of dynamics is an active one, and not all the results are in their final form. However, at this point, a great deal can be said about the particular Lie groups that come up in this context. It is impressive that, even assuming very weak recurrence of the action, the list of possible groups is quite restricted. For the most complicated of...
Within the general framework of the dynamics of "large" groups on geometric spaces, the focus is on the types of groups that can act in complicated wa...
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cena:
327,48 zł |
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The Index Theorem and the Heat Equation Method
ISBN: 9789810246105 / Angielski / Twarda / 308 str. Termin realizacji zamówienia: ok. 5-8 dni roboczych. This volume provides a self-contained represenation of the local version of the Atiyah-Singer index theorem. It contains proofs of the Hodge theorem, the local index theorems for the Dirac operator and some first-order geometric elliptic operators by using the heat-equation method. The proofs are up to the standard of pure mathematics. In addition, a Chern root algorithm is introduced for proving the local index theorems.
This volume provides a self-contained represenation of the local version of the Atiyah-Singer index theorem. It contains proofs of the Hodge theorem, ...
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cena:
508,33 zł |
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