Using the Borsuk-Ulam Theorem / Lectures on Topological Methods in Combinatorics and Geometry, Matousek Jiri, Björner A., Ziegler G.M.
Àâòîð: Arnold Íàçâàíèå: Topological Methods in Hydrodynamics ISBN: 038794947X ISBN-13(EAN): 9780387949475 Èçäàòåëüñòâî: Springer Ðåéòèíã: Öåíà: 18167.00 ð. Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.
Îïèñàíèå: Topological hydrodynamics is a young branch of mathematics studying topological features of flows with complicated trajectories, as well as their applications
to fluid motions. It is situated at the crossroad of hyrdodynamical stability theory, Riemannian and symplectic geometry, magnetohydrodynamics, theory of Lie algebras and Lie groups,
knot theory, and dynamical systems. Applications of this approach include topological classification of steady fluid flows, descriptions of the Korteweg-de Vries equation as a geodesic
flow, and results on Riemannian geometry of diffeomorphism groups, explaining, in particular, why longterm dynamical weather forecasts are not reliable.
Topological Methods
in Hydrodynamics is the first monograph to treat topological, group-theoretic, and geometric problems of ideal hydrodynamics and magnetohydrodynamics for a unified point of view. T
e necessary preliminary notions both in hydrodynamics and pure mathematics are described with plenty of examples and figures. The book is accessible to graduate students as well as
to both pure and applied mathematicians working in the fields of hydrodynamics, Lie groups, dynamical systems and differential geometry.
Àâòîð: Jin Akiyama; William Y.C. Chen; Mikio Kano; Xuelia Íàçâàíèå: Discrete Geometry, Combinatorics and Graph Theory ISBN: 3540706658 ISBN-13(EAN): 9783540706656 Èçäàòåëüñòâî: Springer Ðåéòèíã: Öåíà: 9781.00 ð. Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.
Îïèñàíèå: This book constitutes the thoroughly refereed post-proceedings of the 7th China-Japan Conference on Discrete Geometry, Combinatorics and Graph Theory, CJCDGCGT 2005, held in Tianjin, China, as well as in Xi`an, China, in November 2005. The 30 revised full papers address all current issues in discrete algorithmic geometry, combinatorics and graph theory.
Àâòîð: Cardona Alexander Íàçâàíèå: Geometric, Algebraic and Topological Methods for Quantum Fie ISBN: 9814460044 ISBN-13(EAN): 9789814460040 Èçäàòåëüñòâî: World Scientific Publishing Ðåéòèíã: Öåíà: 21226.00 ð. Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.
Îïèñàíèå: Based on lectures held at the 7th Villa de Leyva summer school, this book presents an introduction to topics of current interest in the interface of geometry, topology and physics. It is aimed at graduate students in physics or mathematics with interests in geometric, algebraic as well as topological methods and their applications to quantum field theory.This volume contains the written notes corresponding to lectures given by experts in the field. They cover current topics of research in a way that is suitable for graduate students of mathematics or physics interested in the recent developments and interactions between geometry, topology and physics. The book also contains contributions by younger participants, displaying the ample range of topics treated in the school. A key feature of the present volume is the provision of a pedagogical presentation of rather advanced topics, in a way which is suitable for both mathematicians and physicists.
Àâòîð: Pascucci Íàçâàíèå: Topological Methods in Data Analysis and Visualization ISBN: 3642150136 ISBN-13(EAN): 9783642150135 Èçäàòåëüñòâî: Springer Ðåéòèíã: Öåíà: 20263.00 ð. Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.
Îïèñàíèå: Topology-based methods are of increasing importance in the analysis and visualization of datasets 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 of large and complex datasets, the characterization of noise and uncertainty, the effective integration of numerical methods with robust combinatorial algorithms, etc. . The editors have brought together the most prominent and best recognized researchers in the field of topology-based data analysis and visualization for a joint discussion and scientific exchange of the latest results in the field. This book contains the best 20 peer-reviewed papers resulting from the discussions and presentations at the third workshop on Topological Methods in Data Analysis and Visualization , held 2009 in Snowbird, Utah, US. The 2009 TopoInVis workshop follows the two successful workshops in 2005 (Slovakia) and 2007 (Germany).
Àâòîð: Soberon Bravo Pablo Íàçâàíèå: Problem-solving Methods in Combinatorics ISBN: 3034805969 ISBN-13(EAN): 9783034805964 Èçäàòåëüñòâî: Springer Ðåéòèíã: Öåíà: 9083.00 ð. Íàëè÷èå íà ñêëàäå: Åñòü ó ïîñòàâùèêà Ïîñòàâêà ïîä çàêàç.
Îïèñàíèå: Yearly math olympiads include at least one combinatrics problem. This book reviews problem-solving techniques for tackling such problems, with examples from recent contests. Includes problems for each topic, with hints and full solutions for reader practice.
