Geometry of Lengths, Areas, and Volumes: Two-Dimensional Spaces, Volume 1, James W. Cannon
Автор: Sergey Fomin, Dylan Thurston Название: Cluster Algebras and Triangulated Surfaces Part II: Lambda Lengths ISBN: 1470429675 ISBN-13(EAN): 9781470429676 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 77610.00 T Наличие на складе: Невозможна поставка. Описание: For any cluster algebra whose underlying combinatorial data can be encoded by a bordered surface with marked points, the authors construct a geometric realization in terms of suitable decorated Teichmuller space of the surface.
Автор: James W. Cannon Название: Two-Dimensional Spaces, Volumes 1, 2, and 3 ISBN: 1470443236 ISBN-13(EAN): 9781470443238 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 107850.00 T Наличие на складе: Невозможна поставка. Описание: This three-volume collection is 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.
Автор: James W. Cannon Название: Topology as Fluid Geometry: Two-Dimensional Spaces, Volume 2 ISBN: 1470437155 ISBN-13(EAN): 9781470437152 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 49330.00 T Наличие на складе: Невозможна поставка. 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: Thurston, William P. Название: Three-dimensional geometry and topology ISBN: 0691083045 ISBN-13(EAN): 9780691083049 Издательство: Wiley Рейтинг: Цена: 116160.00 T Наличие на складе: Есть у поставщика Поставка под заказ. 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: C. Herbert Clemens Название: Two-Dimensional Geometries: A Problem-Solving Approach ISBN: 1470447606 ISBN-13(EAN): 9781470447601 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 74410.00 T Наличие на складе: Невозможна поставка. 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: Yuji Kodama Название: Solitons in Two-Dimensional Shallow Water ISBN: 1611975514 ISBN-13(EAN): 9781611975512 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 71150.00 T Наличие на складе: Невозможна поставка. 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: Ian H. Jermyn, Sebastian Kurtek, Hamid Laga, Anuj Srivastava Название: Elastic Shape Analysis of Three-Dimensional Objects ISBN: 1681730278 ISBN-13(EAN): 9781681730271 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 76690.00 T Наличие на складе: Невозможна поставка. Описание: Statistical analysis of shapes of 3D objects is an important problem with a wide range of applications. This analysis is difficult for many reasons, including the fact that objects differ in both geometry and topology. In this manuscript, we narrow the problem by focusing on objects with fixed topology, say objects that are diffeomorphic to unit spheres, and develop tools for analyzing their geometries. The main challenges in this problem are to register points across objects and to perform analysis while being invariant to certain shape-preserving transformations.We develop a comprehensive framework for analyzing shapes of spherical objects, i.e., objects that are embeddings of a unit sphere in ℝ, including tools for: quantifying shape differences, optimally deforming shapes into each other, summarizing shape samples, extracting principal modes of shape variability, and modeling shape variability associated with populations. An important strength of this framework is that it is elastic: it performs alignment, registration, and comparison in a single unified framework, while being invariant to shape-preserving transformations.The approach is essentially Riemannian in the following sense. We specify natural mathematical representations of surfaces of interest, and impose Riemannian metrics that are invariant to the actions of the shape-preserving transformations. In particular, they are invariant to reparameterizations of surfaces. While these metrics are too complicated to allow broad usage in practical applications, we introduce a novel representation, termed square-root normal fields (SRNFs), that transform a particular invariant elastic metric into the standard L² metric. As a result, one can use standard techniques from functional data analysis for registering, comparing, and summarizing shapes. Specifically, this results in: pairwise registration of surfaces; computation of geodesic paths encoding optimal deformations; computation of Karcher means and covariances under the shape metric; tangent Principal Component Analysis (PCA) and extraction of dominant modes of variability; and finally, modeling of shape variability using wrapped normal densities.These ideas are demonstrated using two case studies: the analysis of surfaces denoting human bodies in terms of shape and pose variability; and the clustering and classification of the shapes of subcortical brain structures for use in medical diagnosis.This book develops these ideas without assuming advanced knowledge in differential geometry and statistics. We summarize some basic tools from differential geometry in the appendices, and introduce additional concepts and terminology as needed in the individual chapters.
Автор: Thomas Peternell; Joichi Miyaoka Название: Geometry of Higher Dimensional Algebraic Varieties ISBN: 3764354909 ISBN-13(EAN): 9783764354909 Издательство: Springer Рейтинг: Цена: 27910.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: Deals with the classification theory and geometry of higher dimensional varieties: existence and geometry of rational curves via characteristic p-methods, manifolds with negative Kodaira dimension, vanishing theorems, theory of extremal rays (Mori theory), and minimal models.
Автор: Boris Khesin; Robert Wendt Название: The Geometry of Infinite-Dimensional Groups ISBN: 3540772626 ISBN-13(EAN): 9783540772620 Издательство: Springer Рейтинг: Цена: 167700.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание: This monograph gives an overview of various classes of infinite-dimensional Lie groups and their applications in Hamiltonian mechanics, fluid dynamics, integrable systems, gauge theory, and complex geometry. The text includes many exercises and open questions.
Автор: John C. Baez, Aristide Baratin, Laurent Freidel, Derek K. Wise Название: Infinite-Dimensional Representations of 2-Groups ISBN: 0821872842 ISBN-13(EAN): 9780821872840 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 71150.00 T Наличие на складе: Невозможна поставка. Описание: "September 2012, volume 219, number 1032 (end of volume)."
Автор: Slaby Название: Fundamentals of Three-Dimensional Descriptive Geometry 2e ISBN: 0471796212 ISBN-13(EAN): 9780471796213 Издательство: Wiley Рейтинг: Цена: 239660.00 T Наличие на складе: Есть у поставщика Поставка под заказ. Описание:
A complete overview of the fundamentals of three-dimensional descriptive geometry
From an overview of the history of descriptive geometry to the application of the principles of descriptive geometry to real-world scenarios, Fundamentals of Three-Dimensional Descriptive Geometry provides a comprehensive look at the topic. Used throughout the disciplines of science, engineering, and architecture, descriptive geometry is crucial for everything from understanding the various segments and inter-workings of structural systems to grasping the relationship of molecules in a chemical compound. For those requiring a full accounting of the fundamentals of three-dimensional descriptive geometry, this text is a definitive and comprehensive resource.
Автор: Keiji Oguiso, Caucher Birkar, Shihoko Ishii, Shigeharu Takayama Название: Higher Dimensional Algebraic Geometry: In Honor of Professor Yujiro Kawamata`s 60th Birthday ISBN: 4864970467 ISBN-13(EAN): 9784864970464 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 83160.00 T Наличие на складе: Невозможна поставка. Описание: Consists of 20 inspiring research papers on birational algebraic geometry, minimal model program, derived algebraic geometry, classification of algebraic varieties, transcendental methods, and so on by top level mathematicians from all over the world. This volume will be useful for researchers in these areas as well as those who are studying algebraic geometry.
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