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Author : Rick Hung Nguyenhuu
Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.:/5 (418 download)
Download or read book Torus Embedding and Its Applications written by Rick Hung Nguyenhuu and published by . This book was released on 1998 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tadao Oda
Publisher :
ISBN 13 :
Total Pages : 718 pages
Book Rating : 4.:/5 (321 download)
Download or read book Lectures on Torus Embeddings and Applications written by Tadao Oda and published by . This book was released on 1978 with total page 718 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V. M. Buchstaber
Publisher : American Mathematical Soc.
ISBN 13 : 0821831860
Total Pages : 154 pages
Book Rating : 4.8/5 (218 download)
Download or read book Torus Actions and Their Applications in Topology and Combinatorics written by V. M. Buchstaber and published by American Mathematical Soc.. This book was released on 2002 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here, the study of torus actions on topological spaces is presented as a bridge connecting combinatorial and convex geometry with commutative and homological algebra, algebraic geometry, and topology. This established link helps in understanding the geometry and topology of a space with torus action by studying the combinatorics of the space of orbits. Conversely, subtle properties of a combinatorial object can be realized by interpreting it as the orbit structure for a propermanifold or as a complex acted on by a torus. The latter can be a symplectic manifold with Hamiltonian torus action, a toric variety or manifold, a subspace arrangement complement, etc., while the combinatorial objects include simplicial and cubical complexes, polytopes, and arrangements. This approachalso provides a natural topological interpretation in terms of torus actions of many constructions from commutative and homological algebra used in combinatorics. The exposition centers around the theory of moment-angle complexes, providing an effective way to study invariants of triangulations by methods of equivariant topology. The book includes many new and well-known open problems and would be suitable as a textbook. It will be useful for specialists both in topology and in combinatoricsand will help to establish even tighter connections between the subjects involved.
Author : William F. Basener
Publisher : John Wiley & Sons
ISBN 13 : 1118626222
Total Pages : 295 pages
Book Rating : 4.1/5 (186 download)
Download or read book Topology and Its Applications written by William F. Basener and published by John Wiley & Sons. This book was released on 2013-06-12 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discover a unique and modern treatment of topology employing a cross-disciplinary approach Implemented recently to understand diverse topics, such as cell biology, superconductors, and robot motion, topology has been transformed from a theoretical field that highlights mathematical theory to a subject that plays a growing role in nearly all fields of scientific investigation. Moving from the concrete to the abstract, Topology and Its Applications displays both the beauty and utility of topology, first presenting the essentials of topology followed by its emerging role within the new frontiers in research. Filling a gap between the teaching of topology and its modern uses in real-world phenomena, Topology and Its Applications is organized around the mathematical theory of topology, a framework of rigorous theorems, and clear, elegant proofs. This book is the first of its kind to present applications in computer graphics, economics, dynamical systems, condensed matter physics, biology, robotics, chemistry, cosmology, material science, computational topology, and population modeling, as well as other areas of science and engineering. Many of these applications are presented in optional sections, allowing an instructor to customize the presentation. The author presents a diversity of topological areas, including point-set topology, geometric topology, differential topology, and algebraic/combinatorial topology. Topics within these areas include: Open sets Compactness Homotopy Surface classification Index theory on surfaces Manifolds and complexes Topological groups The fundamental group and homology Special "core intuition" segments throughout the book briefly explain the basic intuition essential to understanding several topics. A generous number of figures and examples, many of which come from applications such as liquid crystals, space probe data, and computer graphics, are all available from the publisher's Web site.
Author : Tadao Oda
Publisher :
ISBN 13 :
Total Pages : 174 pages
Book Rating : 4.:/5 (787 download)
Download or read book Lectures on Torus Embedding and Applications written by Tadao Oda and published by . This book was released on 1978 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Tadao Oda
Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.:/5 (327 download)
Download or read book Lectures on Torus Embeddings and Applications written by Tadao Oda and published by . This book was released on 1978 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : G. Kempf
Publisher : Springer
ISBN 13 : 3540377557
Total Pages : 220 pages
Book Rating : 4.5/5 (43 download)
Download or read book Toroidal Embeddings 1 written by G. Kempf and published by Springer. This book was released on 2006-11-15 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jiahua Yu
Publisher :
ISBN 13 :
Total Pages : 74 pages
Book Rating : 4.:/5 (112 download)
Download or read book A Practical Torus Embedding Algorithm and Its Implementation written by Jiahua Yu and published by . This book was released on 2014 with total page 74 pages. Available in PDF, EPUB and Kindle. Book excerpt: Embedding graphs on the torus is a problem with both theoretical and practical significance. It is required to embed a graph on the torus for solving many application problems in graphs. Such problems appear in disciplines including VLSI design and graph drawing. Although polynomial time algorithms for embedding graphs on the torus exist, they are complex and no working implementation exists. To develop a practical tool for embedding graphs on the torus, we propose a new algorithm with exponential running time. Compared with a previous well known exponential time algorithm, our algorithm has better practical performance. Furthermore, we show that our implementation covers most modules of a polynomial time algorithm and can serve as a good foundation for its implementation.
Author : Mahima Ranjan Adhikari
Publisher : Springer
ISBN 13 : 813222843X
Total Pages : 628 pages
Book Rating : 4.1/5 (322 download)
Download or read book Basic Algebraic Topology and its Applications written by Mahima Ranjan Adhikari and published by Springer. This book was released on 2016-09-16 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book offers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike. Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study.
Author :
Publisher :
ISBN 13 : 9783540088523
Total Pages : pages
Book Rating : 4.0/5 (885 download)
Download or read book Torus Embeddings and Applications written by and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Vadim Zverovich
Publisher : Cambridge Scholars Publishing
ISBN 13 : 1527536289
Total Pages : 309 pages
Book Rating : 4.5/5 (275 download)
Download or read book Research Topics in Graph Theory and Its Applications written by Vadim Zverovich and published by Cambridge Scholars Publishing. This book was released on 2019-06-24 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book considers a number of research topics in graph theory and its applications, including ideas devoted to alpha-discrepancy, strongly perfect graphs, reconstruction conjectures, graph invariants, hereditary classes of graphs, and embedding graphs on topological surfaces. It also discusses applications of graph theory, such as transport networks and hazard assessments based on unified networks. The book is ideal for developers of grant proposals and researchers interested in exploring new areas of graph theory and its applications.
Author : Sergey Gorchinskiy
Publisher : American Mathematical Soc.
ISBN 13 : 1470440725
Total Pages : 201 pages
Book Rating : 4.4/5 (74 download)
Download or read book Unramified Brauer Group and Its Applications written by Sergey Gorchinskiy and published by American Mathematical Soc.. This book was released on 2018-09-10 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is devoted to arithmetic geometry with special attention given to the unramified Brauer group of algebraic varieties and its most striking applications in birational and Diophantine geometry. The topics include Galois cohomology, Brauer groups, obstructions to stable rationality, Weil restriction of scalars, algebraic tori, the Hasse principle, Brauer-Manin obstruction, and étale cohomology. The book contains a detailed presentation of an example of a stably rational but not rational variety, which is presented as series of exercises with detailed hints. This approach is aimed to help the reader understand crucial ideas without being lost in technical details. The reader will end up with a good working knowledge of the Brauer group and its important geometric applications, including the construction of unirational but not stably rational algebraic varieties, a subject which has become fashionable again in connection with the recent breakthroughs by a number of mathematicians.
Author : Panos M. Pardalos
Publisher : Springer Science & Business Media
ISBN 13 : 3642288219
Total Pages : 501 pages
Book Rating : 4.6/5 (422 download)
Download or read book Essays in Mathematics and its Applications written by Panos M. Pardalos and published by Springer Science & Business Media. This book was released on 2012-08-07 with total page 501 pages. Available in PDF, EPUB and Kindle. Book excerpt: The volume is dedicated to Stephen Smale on the occasion of his 80th birthday.Besides his startling 1960 result of the proof of the Poincar ́e conjecture for all dimensionsgreater than or equal to five, Smale’s ground breaking contributions invarious fields in Mathematics have marked the second part of the 20th century andbeyond. Stephen Smale has done pioneering work in differential topology, globalanalysis, dynamical systems, nonlinear functional analysis, numerical analysis, theoryof computation and machine learning as well as applications in the physical andbiological sciences and economics. In sum, Stephen Smale has manifestly brokenthe barriers among the different fields of mathematics and dispelled some remainingprejudices. He is indeed a universal mathematician. Smale has been honoredwith several prizes and honorary degrees including, among others, the Fields Medal(1966), The Veblen Prize (1966), the National Medal of Science (1996) and theWolfPrize (2006/2007).
Author : A. B. Katok
Publisher : American Mathematical Soc.
ISBN 13 : 0821826824
Total Pages : 895 pages
Book Rating : 4.8/5 (218 download)
Download or read book Smooth Ergodic Theory and Its Applications written by A. B. Katok and published by American Mathematical Soc.. This book was released on 2001 with total page 895 pages. Available in PDF, EPUB and Kindle. Book excerpt: During the past decade, there have been several major new developments in smooth ergodic theory, which have attracted substantial interest to the field from mathematicians as well as scientists using dynamics in their work. In spite of the impressive literature, it has been extremely difficult for a student-or even an established mathematician who is not an expert in the area-to acquire a working knowledge of smooth ergodic theory and to learn how to use its tools. Accordingly, the AMS Summer Research Institute on Smooth Ergodic Theory and Its Applications (Seattle, WA) had a strong educational component, including ten mini-courses on various aspects of the topic that were presented by leading experts in the field. This volume presents the proceedings of that conference. Smooth ergodic theory studies the statistical properties of differentiable dynamical systems, whose origin traces back to the seminal works of Poincare and later, many great mathematicians who made contributions to the development of the theory. The main topic of this volume, smooth ergodic theory, especially the theory of nonuniformly hyperbolic systems, provides the principle paradigm for the rigorous study of complicated or chaotic behavior in deterministic systems. This paradigm asserts that if a non-linear dynamical system exhibits sufficiently pronounced exponential behavior, then global properties of the system can be deduced from studying the linearized system. One can then obtain detailed information on topological properties (such as the growth of periodic orbits, topological entropy, and dimension of invariant sets including attractors), as well as statistical properties (such as the existence of invariant measures, asymptotic behavior of typical orbits, ergodicity, mixing, decay of corre This volume serves a two-fold purpose: first, it gives a useful gateway to smooth ergodic theory for students and nonspecialists, and second, it provides a state-of-the-art report on important current aspects of the subject. The book is divided into three parts: lecture notes consisting of three long expositions with proofs aimed to serve as a comprehensive and self-contained introduction to a particular area of smooth ergodic theory; thematic sections based on mini-courses or surveys held at the conference; and original contributions presented at the meeting or closely related to the topics that were discussed there.
Author : Giuseppe Liotta
Publisher : World Scientific
ISBN 13 : 9814482161
Total Pages : 416 pages
Book Rating : 4.8/5 (144 download)
Download or read book Graph Algorithms And Applications 3 written by Giuseppe Liotta and published by World Scientific. This book was released on 2004-08-11 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains Volume 6 of the Journal of Graph Algorithms and Applications (JGAA). JGAA is a peer-reviewed scientific journal devoted to the publication of high-quality research papers on the analysis, design, implementation, and applications of graph algorithms. Areas of interest include computational biology, computational geometry, computer graphics, computer-aided design, computer and interconnection networks, constraint systems, databases, graph drawing, graph embedding and layout, knowledge representation, multimedia, software engineering, telecommunications networks, user interfaces and visualization, and VLSI circuit design.Graph Algorithms and Applications 3 presents contributions from prominent authors and includes selected papers from the Symposium on Graph Drawing (1999 and 2000). All papers in the book have extensive diagrams and offer a unique treatment of graph algorithms focusing on the important applications.
Author : Yong-Geun Oh
Publisher : Cambridge University Press
ISBN 13 : 1316381390
Total Pages : 471 pages
Book Rating : 4.3/5 (163 download)
Download or read book Symplectic Topology and Floer Homology: Volume 2, Floer Homology and its Applications written by Yong-Geun Oh and published by Cambridge University Press. This book was released on 2015-08-27 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published in two volumes, this is the first book to provide a thorough and systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 2 provides a comprehensive introduction to both Hamiltonian Floer theory and Lagrangian Floer theory, including many examples of their applications to various problems in symplectic topology. The first volume covered the basic materials of Hamiltonian dynamics and symplectic geometry and the analytic foundations of Gromov's pseudoholomorphic curve theory. Symplectic Topology and Floer Homology is a comprehensive resource suitable for experts and newcomers alike.
Author : V.I. Arnol'd
Publisher : Springer Science & Business Media
ISBN 13 : 3662067935
Total Pages : 291 pages
Book Rating : 4.6/5 (62 download)
Download or read book Dynamical Systems IV written by V.I. Arnol'd and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 291 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book takes a snapshot of the mathematical foundations of classical and quantum mechanics from a contemporary mathematical viewpoint. It covers a number of important recent developments in dynamical systems and mathematical physics and places them in the framework of the more classical approaches; the presentation is enhanced by many illustrative examples concerning topics which have been of especial interest to workers in the field, and by sketches of the proofs of the major results. The comprehensive bibliographies are designed to permit the interested reader to retrace the major stages in the development of the field if he wishes. Not so much a detailed textbook for plodding students, this volume, like the others in the series, is intended to lead researchers in other fields and advanced students quickly to an understanding of the 'state of the art' in this area of mathematics. As such it will serve both as a basic reference work on important areas of mathematical physics as they stand today, and as a good starting point for further, more detailed study for people new to this field.
