Two-Dimensional Spaces, Volumes 1, 2, and 3, James W. Cannon

Автор: James W. Cannon
Название: Topology as Fluid Geometry: Two-Dimensional Spaces, Volume 2
ISBN: 1470437155 ISBN-13(EAN): 9781470437152
Издательство: Mare Nostrum (Eurospan)
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Цена: 49330.00 T
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Описание: This is the second of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century's masters of geometric topology. The books are accessible to college and graduate students and provide perspective and insight to mathematicians at all levels who are interested in geometry and topology.The second volume deals with the topology of 2-dimensional spaces. The attempts encountered in Volume 1 to understand length and area in the plane lead to examples most easily described by the methods of topology (fluid geometry): finite curves of infinite length, 1-dimensional curves of positive area, space-filling curves (Peano curves), 0-dimensional subsets of the plane through which no straight path can pass (Cantor sets), etc. Volume 2 describes such sets. All of the standard topological results about 2-dimensional spaces are then proved, such as the Fundamental Theorem of Algebra (two proofs), the No Retraction Theorem, the Brouwer Fixed Point Theorem, the Jordan Curve Theorem, the Open Mapping Theorem, the Riemann-Hurwitz Theorem, and the Classification Theorem for Compact 2-manifolds. Volume 2 also includes a number of theorems usually assumed without proof since their proofs are not readily available, for example, the Zippin Characterization Theorem for 2-dimensional spaces that are locally Euclidean, the Schoenflies Theorem characterizing the disk, the Triangulation Theorem for 2-manifolds, and the R. L. Moore's Decomposition Theorem so useful in understanding fractal sets.

Автор: James W. Cannon
Название: Geometry of Lengths, Areas, and Volumes: Two-Dimensional Spaces, Volume 1
ISBN: 1470437147 ISBN-13(EAN): 9781470437145
Издательство: Mare Nostrum (Eurospan)
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Цена: 48970.00 T
Наличие на складе: Невозможна поставка.
Описание: This is the first of a three volume collection devoted to the geometry, topology, and curvature of 2-dimensional spaces. The collection provides a guided tour through a wide range of topics by one of the twentieth century`s masters of geometric topology. The books are accessible to college and graduate students and provide perspective and insight to mathematicians at all levels.

Автор: Thurston, William P.
Название: Three-dimensional geometry and topology
ISBN: 0691083045 ISBN-13(EAN): 9780691083049
Издательство: Wiley
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Цена: 116160.00 T
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Описание: Hyperbolic geometry is the star. A strong effort has been made to convey not just denatured formal reasoning, but a living feeling for the subject. There are many figures, examples, and exercises of varying difficulty. This book develops some of the power of geometry in two and three dimensions, and the strong connection of geometry with topology.

Автор: A.V. Bolsinov; A.T. Fomenko
Название: Integrable Geodesic Flows on Two-Dimensional Surfaces
ISBN: 0306110652 ISBN-13(EAN): 9780306110658
Издательство: Springer
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Цена: 231990.00 T
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Описание: Presents a different approach to qualitative analysis of integrable geodesic flows based on the theory of topological classification of integrable Hamiltonian systems. This book applies this technique systematically to a wide class of integrable systems. It features a systematic presentation of material on this subject, and contains illustrations.

Автор: A.V. Bolsinov; A.T. Fomenko
Название: Integrable Geodesic Flows on Two-Dimensional Surfaces
ISBN: 1461369339 ISBN-13(EAN): 9781461369332
Издательство: Springer
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Цена: 232910.00 T
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Описание: One of the most important and interesting problems consists in the classification of integrable flows up to different equivalence relations such as (1) an isometry, (2) the Liouville equivalence, (3) the trajectory equivalence (smooth and continuous), and (4) the geodesic equivalence.

Автор: Yuji Kodama
Название: Solitons in Two-Dimensional Shallow Water
ISBN: 1611975514 ISBN-13(EAN): 9781611975512
Издательство: Mare Nostrum (Eurospan)
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Цена: 71150.00 T
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Описание: Uses modern mathematical tools - algebraic geometry, algebraic combinatorics, and representation theory, among others - to analyse two-dimensional wave patterns. The author`s goal is to explain some details of the classification problem of the soliton solutions of the KP equation (or KP solitons) and their applications to shallow water waves.

Автор: C. Herbert Clemens
Название: Two-Dimensional Geometries: A Problem-Solving Approach
ISBN: 1470447606 ISBN-13(EAN): 9781470447601
Издательство: Mare Nostrum (Eurospan)
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Цена: 74410.00 T
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Описание: This book on two-dimensional geometry uses a problem-solving approach to actively engage students in the learning process. The aim is to guide readers through the story of the subject, while giving them room to discover and partially construct the story themselves. The book bridges the study of plane geometry and the study of curves and surfaces of non-constant curvature in three-dimensional Euclidean space.

Автор: K?roly Jr. B?r?czky; J?nos Koll?r; Szamuely Tamas
Название: Higher Dimensional Varieties and Rational Points
ISBN: 3540008209 ISBN-13(EAN): 9783540008200
Издательство: Springer
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Цена: 139750.00 T
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Автор: Felipe Cano Torres
Название: Desingularization Strategies of Three-Dimensional Vector Fields
ISBN: 3540179445 ISBN-13(EAN): 9783540179443
Издательство: Springer
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Цена: 23280.00 T
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Описание: Deals with the logarithmic background and the permissible blowing-ups. This book corresponds to the control of the algorithms for the desingularization strategies by means of numerical invariants inspired by Hironaka`s characteristic polygon.

Автор: Lothar G?ttsche
Название: Hilbert Schemes of Zero-Dimensional Subschemes of Smooth Varieties
ISBN: 3540578145 ISBN-13(EAN): 9783540578147
Издательство: Springer
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Цена: 27910.00 T
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Описание: The main aim of this monograph is to describe the cohomology of varieties of interest in enumerative geometry. Some enumerative applications are also given. The text is self-contained, assuming only a basic knowledge of algebraic geometry.

Автор: E. Winkelnkemper; Andrew Ranicki
Название: High-dimensional Knot Theory
ISBN: 3540633898 ISBN-13(EAN): 9783540633891
Издательство: Springer
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Цена: 121070.00 T
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Описание: High dimensional knot theory is the study of the embeddings of n-dimensional manifolds in (n+2)-dimensional manifolds, generalizing the traditional study of knots in the case n=1. The main theme is the application of the author`s algebraic theory of surgery.

Автор: David Zook; P. Janich
Название: Euclid`s Heritage. Is Space Three-Dimensional?
ISBN: 9048142172 ISBN-13(EAN): 9789048142170
Издательство: Springer
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Цена: 158340.00 T
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Описание: Ever since Euclid`s ancient geometry, we have thought of bodies occupying parts of this space (including our own bodies), the space of our practical orientations (our `moving- abouts`), as having three dimensions.