Dynamic Topology

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Dynamic Topology

Author : G. Whyburn
Publisher : Springer Science & Business Media
ISBN 13 : 1468462628
Total Pages : 163 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Dynamic Topology by : G. Whyburn

Download or read book Dynamic Topology written by G. Whyburn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt: It is a privilege for me to write a foreword for this unusual book. The book is not primarily a reference work although many of the ideas and proofs are explained more clearly here than in any other source that I know. Nor is this a text of the customary sort. It is rather a record of a particular course and Gordon Whyburn's special method of teaching it. Perhaps the easiest way to describe the course and the method is to relate my own personal experience with a forerunner of this same course in the academic year 1937-1938. At that time, the course was offered every other year with a following course in algebraic topology on alternate years. There were five of us enrolled, and on the average we knew less mathematics than is now routinely given in a junior course in analysis. Whyburn's purpose, as we learned, was to prepare us in minimal time for research in the areas in which he was inter ested. His method was remarkable.

Dynamics: Topology and Numbers

Author : Pieter Moree
Publisher : American Mathematical Soc.
ISBN 13 : 147045100X
Total Pages : 347 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Dynamics: Topology and Numbers by : Pieter Moree

Download or read book Dynamics: Topology and Numbers written by Pieter Moree and published by American Mathematical Soc.. This book was released on 2020-02-12 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the conference Dynamics: Topology and Numbers, held from July 2–6, 2018, at the Max Planck Institute for Mathematics, Bonn, Germany. The papers cover diverse fields of mathematics with a unifying theme of relation to dynamical systems. These include arithmetic geometry, flat geometry, complex dynamics, graph theory, relations to number theory, and topological dynamics. The volume is dedicated to the memory of Sergiy Kolyada and also contains some personal accounts of his life and mathematics.

The General Topology of Dynamical Systems

Author : Ethan Akin
Publisher : American Mathematical Soc.
ISBN 13 : 0821849328
Total Pages : 273 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis The General Topology of Dynamical Systems by : Ethan Akin

Download or read book The General Topology of Dynamical Systems written by Ethan Akin and published by American Mathematical Soc.. This book was released on 1993 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent work in dynamical systems theory has both highlighted certain topics in the pre-existing subject of topological dynamics (such as the construction of Lyapunov functions and various notions of stability) and also generated new concepts and results. This book collects these results, both old and new, and organises them into a natural foundation for all aspects of dynamical systems theory.

Elements of Topological Dynamics

Author : J. de Vries
Publisher : Springer Science & Business Media
ISBN 13 : 9401581711
Total Pages : 762 pages
Book Rating : 4.4/5 (15 download)

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Book Synopsis Elements of Topological Dynamics by : J. de Vries

Download or read book Elements of Topological Dynamics written by J. de Vries and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 762 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is designed as an introduction into what I call 'abstract' Topological Dynamics (TO): the study of topological transformation groups with respect to problems that can be traced back to the qualitative theory of differential equa is in the tradition of the books [GH] and [EW. The title tions. So this book (,Elements . . . ' rather than 'Introduction . . . ') does not mean that this book should be compared, either in scope or in (intended) impact, with the 'Ele ments' of Euclid or Bourbaki. Instead, it reflects the choice and organisation of the material in this book: elementary and basic (but sufficient to understand recent research papers in this field). There are still many challenging prob lems waiting for a solution, and especially among general topologists there is a growing interest in this direction. However, the technical inaccessability of many research papers makes it almost impossible for an outsider to under stand what is going on. To a large extent, this inaccessability is caused by the lack of a good and systematic exposition of the fundamental methods and techniques of abstract TO. This book is an attempt to fill this gap. The guiding principle for the organization of the material in this book has been the exposition of methods and techniques rather than a discussion of the leading problems and their solutions. though the latter are certainly not neglected: they are used as a motivation wherever possible.

Recurrence in Topological Dynamics

Author : Ethan Akin
Publisher : Springer Science & Business Media
ISBN 13 : 9780306455506
Total Pages : 292 pages
Book Rating : 4.4/5 (555 download)

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Book Synopsis Recurrence in Topological Dynamics by : Ethan Akin

Download or read book Recurrence in Topological Dynamics written by Ethan Akin and published by Springer Science & Business Media. This book was released on 1997-07-31 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This groundbreaking volume is the first to elaborate the theory of set families as a tool for studying the phenomenon of recurrence. The theory is implicit in such seminal works as Hillel Furstenberg's Recurrence in Ergodic Theory and Combinational Number Theory, but Ethan Akin's study elaborates it in detail, defining such elements of theory as: open families of special subsets the unification of several ideas associated with transitivity, ergodicity, and mixing the Ellis theory of enveloping semigroups for compact dynamical systems and new notions of equicontinuity, distality, and rigidity.

Modeling, Solving and Application for Topology Optimization of Continuum Structures: ICM Method Based on Step Function

Author : Yunkang Sui
Publisher : Butterworth-Heinemann
ISBN 13 : 0128126566
Total Pages : 395 pages
Book Rating : 4.1/5 (281 download)

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Book Synopsis Modeling, Solving and Application for Topology Optimization of Continuum Structures: ICM Method Based on Step Function by : Yunkang Sui

Download or read book Modeling, Solving and Application for Topology Optimization of Continuum Structures: ICM Method Based on Step Function written by Yunkang Sui and published by Butterworth-Heinemann. This book was released on 2017-08-29 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling, Solving and Applications for Topology Optimization of Continuum Structures: ICM Method Based on Step Function provides an introduction to the history of structural optimization, along with a summary of the existing state-of-the-art research on topology optimization of continuum structures. It systematically introduces basic concepts and principles of ICM method, also including modeling and solutions to complex engineering problems with different constraints and boundary conditions. The book features many numerical examples that are solved by the ICM method, helping researchers and engineers solve their own problems on topology optimization. This valuable reference is ideal for researchers in structural optimization design, teachers and students in colleges and universities working, and majoring in, related engineering fields, and structural engineers. Offers a comprehensive discussion that includes both the mathematical basis and establishment of optimization models Centers on the application of ICM method in various situations with the introduction of easily coded software Provides illustrations of a large number of examples to facilitate the applications of ICM method across a variety of disciplines

Networks, Topology and Dynamics

Author : Ahmad K. Naimzada
Publisher : Springer Science & Business Media
ISBN 13 : 3540684093
Total Pages : 292 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Networks, Topology and Dynamics by : Ahmad K. Naimzada

Download or read book Networks, Topology and Dynamics written by Ahmad K. Naimzada and published by Springer Science & Business Media. This book was released on 2008-11-14 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is convergent consensus among scientists that many social, economic and ?nancial phenomena can be described by a network of agents and their inter- tions. Surprisingly, even though the application ?elds are quite different, those n- works often show a common behaviour. Thus, their topological properties can give useful insights on how the network is structured, which are the most “important” nodes/agents, how the network reacts to new arrivals. Moreover the network, once included into a dynamic context, helps to model many phenomena. Among the t- ics in which topology and dynamics are the essential tools, we will focus on the diffusion of technologies and fads, the rise of industrial districts, the evolution of ?nancial markets, cooperation and competition, information ?ows, centrality and prestige. The volume, including recent contributions to the ?eld of network modelling, is based on the communications presented at NET 2006 (Verbania, Italy) and NET 2007 (Urbino, Italy); offers a wide range of recent advances, both theoretical and methodological, that will interest academics as well as practitioners. Theory and applications are nicely integrated: theoretical papers deal with graph theory, game theory, coalitions, dynamics, consumer behavior, segregation models and new contributions to the above mentioned area. The applications cover a wide range: airline transportation, ?nancial markets, work team organization, labour and credit market.

Dynamic Topology

Author : G. Whyburn
Publisher :
ISBN 13 : 9781468462630
Total Pages : 172 pages
Book Rating : 4.4/5 (626 download)

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Book Synopsis Dynamic Topology by : G. Whyburn

Download or read book Dynamic Topology written by G. Whyburn and published by . This book was released on 1979-04-30 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Differential Geometry and Topology

Author : Keith Burns
Publisher : CRC Press
ISBN 13 : 9781584882534
Total Pages : 408 pages
Book Rating : 4.8/5 (825 download)

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Book Synopsis Differential Geometry and Topology by : Keith Burns

Download or read book Differential Geometry and Topology written by Keith Burns and published by CRC Press. This book was released on 2005-05-27 with total page 408 pages. Available in PDF, EPUB and Kindle. Book excerpt: Accessible, concise, and self-contained, this book offers an outstanding introduction to three related subjects: differential geometry, differential topology, and dynamical systems. Topics of special interest addressed in the book include Brouwer's fixed point theorem, Morse Theory, and the geodesic flow. Smooth manifolds, Riemannian metrics, affine connections, the curvature tensor, differential forms, and integration on manifolds provide the foundation for many applications in dynamical systems and mechanics. The authors also discuss the Gauss-Bonnet theorem and its implications in non-Euclidean geometry models. The differential topology aspect of the book centers on classical, transversality theory, Sard's theorem, intersection theory, and fixed-point theorems. The construction of the de Rham cohomology builds further arguments for the strong connection between the differential structure and the topological structure. It also furnishes some of the tools necessary for a complete understanding of the Morse theory. These discussions are followed by an introduction to the theory of hyperbolic systems, with emphasis on the quintessential role of the geodesic flow. The integration of geometric theory, topological theory, and concrete applications to dynamical systems set this book apart. With clean, clear prose and effective examples, the authors' intuitive approach creates a treatment that is comprehensible to relative beginners, yet rigorous enough for those with more background and experience in the field.

Geometric Theory of Dynamical Systems

Author : J. Jr. Palis
Publisher : Springer Science & Business Media
ISBN 13 : 1461257034
Total Pages : 208 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Geometric Theory of Dynamical Systems by : J. Jr. Palis

Download or read book Geometric Theory of Dynamical Systems written by J. Jr. Palis and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: ... cette etude qualitative (des equations difj'erentielles) aura par elle-m me un inter t du premier ordre ... HENRI POINCARE, 1881. We present in this book a view of the Geometric Theory of Dynamical Systems, which is introductory and yet gives the reader an understanding of some of the basic ideas involved in two important topics: structural stability and genericity. This theory has been considered by many mathematicians starting with Poincare, Liapunov and Birkhoff. In recent years some of its general aims were established and it experienced considerable development. More than two decades passed between two important events: the work of Andronov and Pontryagin (1937) introducing the basic concept of structural stability and the articles of Peixoto (1958-1962) proving the density of stable vector fields on surfaces. It was then that Smale enriched the theory substantially by defining as a main objective the search for generic and stable properties and by obtaining results and proposing problems of great relevance in this context. In this same period Hartman and Grobman showed that local stability is a generic property. Soon after this Kupka and Smale successfully attacked the problem for periodic orbits. We intend to give the reader the flavour of this theory by means of many examples and by the systematic proof of the Hartman-Grobman and the Stable Manifold Theorems (Chapter 2), the Kupka-Smale Theorem (Chapter 3) and Peixoto's Theorem (Chapter 4). Several ofthe proofs we give vii Introduction Vlll are simpler than the original ones and are open to important generalizations.

Topology Control in Wireless Sensor Networks

Author : Miguel A. Labrador
Publisher : Springer Science & Business Media
ISBN 13 : 1402095856
Total Pages : 210 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Topology Control in Wireless Sensor Networks by : Miguel A. Labrador

Download or read book Topology Control in Wireless Sensor Networks written by Miguel A. Labrador and published by Springer Science & Business Media. This book was released on 2009-02-27 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: The eld of wireless sensor networks continues to evolve and grow in both practical and research domains. More and more wireless sensor networks are being used to gather information in real life applications. It is common to see how this technology is being applied in irrigation systems, intelligent buildings, bridges, security mec- nisms,militaryoperations,transportation-relatedapplications,etc.Atthesametime, new developments in hardware, software, and communication technologies are - panding these possibilities. As in any other technology, research brings new dev- opments and re nements and continuous improvements of current approaches that push the technology even further. Looking toward the future, the technology seems even more promising in two directions. First, a few years from now more powerful wireless sensor devices will be available, and wireless sensor networks will have applicability in an endless number of scenarios, as they will be able to handle traf c loads not possible today, make more computations, store more data, and live longer because of better energy sources. Second,a few years from now, the opposite scenario might also be possible. The availability of very constrained, nanotechnology-made wireless sensor devices will bring a whole new world of applications, as they will be able to operate in - vironments and places unimaginable today. These two scenarios, at the same time, will both bring new research challenges that are always welcome to researchers.

Topological Dynamical Systems

Author : Jan Vries
Publisher : Walter de Gruyter
ISBN 13 : 3110342405
Total Pages : 516 pages
Book Rating : 4.1/5 (13 download)

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Book Synopsis Topological Dynamical Systems by : Jan Vries

Download or read book Topological Dynamical Systems written by Jan Vries and published by Walter de Gruyter. This book was released on 2014-01-31 with total page 516 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is no recent elementary introduction to the theory of discrete dynamical systems that stresses the topological background of the topic. This book fills this gap: it deals with this theory as 'applied general topology'. We treat all important concepts needed to understand recent literature. The book is addressed primarily to graduate students. The prerequisites for understanding this book are modest: a certain mathematical maturity and course in General Topology are sufficient.

Team Topologies

Author : Matthew Skelton
Publisher : IT Revolution
ISBN 13 : 1942788827
Total Pages : 210 pages
Book Rating : 4.9/5 (427 download)

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Book Synopsis Team Topologies by : Matthew Skelton

Download or read book Team Topologies written by Matthew Skelton and published by IT Revolution. This book was released on 2019-09-17 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: Effective software teams are essential for any organization to deliver value continuously and sustainably. But how do you build the best team organization for your specific goals, culture, and needs? Team Topologies is a practical, step-by-step, adaptive model for organizational design and team interaction based on four fundamental team types and three team interaction patterns. It is a model that treats teams as the fundamental means of delivery, where team structures and communication pathways are able to evolve with technological and organizational maturity. In Team Topologies, IT consultants Matthew Skelton and Manuel Pais share secrets of successful team patterns and interactions to help readers choose and evolve the right team patterns for their organization, making sure to keep the software healthy and optimize value streams. Team Topologies is a major step forward in organizational design for software, presenting a well-defined way for teams to interact and interrelate that helps make the resulting software architecture clearer and more sustainable, turning inter-team problems into valuable signals for the self-steering organization.

AD HOC NETWORKS

Author : Prasant Mohapatra
Publisher : Springer Science & Business Media
ISBN 13 : 0387226907
Total Pages : 287 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis AD HOC NETWORKS by : Prasant Mohapatra

Download or read book AD HOC NETWORKS written by Prasant Mohapatra and published by Springer Science & Business Media. This book was released on 2006-01-16 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: AD HOC NETWORKS: Technologies and Protocols is a concise in-depth treatment of various constituent components of ad hoc network protocols. It reviews issues related to medium access control, scalable routing, group communications, use of directional/smart antennas, network security, and power management among other topics. The authors examine various technologies that may aid ad hoc networking including the presence of an ability to tune transmission power levels or the deployment of sophisticated smart antennae. Contributors to this volume include experts that have been active in ad hoc network research and have published in the premier conferences and journals in this subject area. AD HOC NETWORKS: Protocols and Technologies will be immensely useful as a reference work to engineers and researchers as well as to advanced level students in the areas of wireless networks, and computer networks.

Topology in Magnetism

Author : Jiadong Zang
Publisher : Springer
ISBN 13 : 3319973347
Total Pages : 416 pages
Book Rating : 4.3/5 (199 download)

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Book Synopsis Topology in Magnetism by : Jiadong Zang

Download or read book Topology in Magnetism written by Jiadong Zang and published by Springer. This book was released on 2018-09-24 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents both experimental and theoretical aspects of topology in magnetism. It first discusses how the topology in real space is relevant for a variety of magnetic spin structures, including domain walls, vortices, skyrmions, and dynamic excitations, and then focuses on the phenomena that are driven by distinct topology in reciprocal momentum space, such as anomalous and spin Hall effects, topological insulators, and Weyl semimetals. Lastly, it examines how topology influences dynamic phenomena and excitations (such as spin waves, magnons, localized dynamic solitons, and Majorana fermions). The book also shows how these developments promise to lead the transformative revolution of information technology.

Combinatorial Algebraic Topology

Author : Dimitry Kozlov
Publisher : Springer Science & Business Media
ISBN 13 : 9783540730514
Total Pages : 416 pages
Book Rating : 4.7/5 (35 download)

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Book Synopsis Combinatorial Algebraic Topology by : Dimitry Kozlov

Download or read book Combinatorial Algebraic Topology written by Dimitry Kozlov and published by Springer Science & Business Media. This book was released on 2008-01-08 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is the first comprehensive treatment of combinatorial algebraic topology in book form. The first part of the book constitutes a swift walk through the main tools of algebraic topology. 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. Although applications are sprinkled throughout the second part, they are principal focus of the third part, which is entirely devoted to developing the topological structure theory for graph homomorphisms.

Topology

Author : Tai-Danae Bradley
Publisher : MIT Press
ISBN 13 : 0262359626
Total Pages : 167 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Topology by : Tai-Danae Bradley

Download or read book Topology written by Tai-Danae Bradley and published by MIT Press. This book was released on 2020-08-18 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate-level textbook that presents basic topology from the perspective of category theory. This graduate-level textbook on topology takes a unique approach: it reintroduces basic, point-set topology from a more modern, categorical perspective. Many graduate students are familiar with the ideas of point-set topology and they are ready to learn something new about them. Teaching the subject using category theory--a contemporary branch of mathematics that provides a way to represent abstract concepts--both deepens students' understanding of elementary topology and lays a solid foundation for future work in advanced topics.