Experiments In Topology


Experiments In Topology
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Experiments In Topology


Experiments In Topology
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Author : Stephen Barr
language : en
Publisher: Courier Corporation
Release Date : 2012-12-04

Experiments In Topology written by Stephen Barr and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-04 with Mathematics categories.


Classic, lively explanation of one of the byways of mathematics. Klein bottles, Moebius strips, projective planes, map coloring, problem of the Koenigsberg bridges, much more, described with clarity and wit.



Experiments In Topology


Experiments In Topology
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Author : Stephen Barr
language : en
Publisher: Courier Corporation
Release Date : 1989-01-01

Experiments In Topology written by Stephen Barr and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Mathematics categories.


"A mathematician named Klein Thought the Moebius band was divine. Said he: 'If you glue The edges of two, You'll get a weird bottle like mine.' " — Stephen Barr In this lively book, the classic in its field, a master of recreational topology invites readers to venture into such tantalizing topological realms as continuity and connectedness via the Klein bottle and the Moebius strip. Beginning with a definition of topology and a discussion of Euler's theorem, Mr. Barr brings wit and clarity to these topics: New Surfaces (Orientability, Dimension, The Klein Bottle, etc.) The Shortest Moebius Strip The Conical Moebius Strip The Klein Bottle The Projective Plane (Symmetry) Map Coloring Networks (Koenigsberg Bridges, Betti Numbers, Knots) The Trial of the Punctured Torus Continuity and Discreteness ("Next Number," Continuity, Neighborhoods, Limit Points) Sets (Valid or Merely True? Venn Diagrams, Open and Closed Sets, Transformations, Mapping, Homotopy) With this book and a square sheet of paper, the reader can make paper Klein bottles, step by step; then, by intersecting or cutting the bottle, make Moebius strips. Conical Moebius strips, projective planes, the principle of map coloring, the classic problem of the Koenigsberg bridges, and many more aspects of topology are carefully and concisely illuminated by the author's informal and entertaining approach. Now in this inexpensive paperback edition, Experiments in Topology belongs in the library of any math enthusiast with a taste for brainteasing adventures



Topological Defects In Cosmology


Topological Defects In Cosmology
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Author : Francesco Melchiorri
language : en
Publisher: World Scientific
Release Date : 1998-05-13

Topological Defects In Cosmology written by Francesco Melchiorri and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-05-13 with categories.


This book is devoted to one of the most relevant problems of modern cosmology: the formation of structures in the framework of big bang cosmology. The standard theory of gravitational instability has met with great success but has also encountered significant difficulties. In this book the alternative possibility offered by topological defects is explored in detail. A pedagogical introduction to the problem is given and several theoretical aspects of the problem are reviewed. Special emphasis is placed on the observable consequences of the presence of topological defects, and in particular their interaction with cosmic background radiation; other observable effects are also discussed. In addition, laboratory experiments on topological defects are dealt with. This book will, for a long time, serve as one of the best references, on the topic for students and researchers in cosmology.



Topology And Physics


Topology And Physics
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Author : Chen Ning Yang
language : en
Publisher: World Scientific
Release Date : 2019-01-09

Topology And Physics written by Chen Ning Yang and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-09 with Science categories.


'The book is an engaging and influential collection of significant contributions from an assembly of world expert leaders and pioneers from different fields, working at the interface between topology and physics or applications of topology to physical systems … The book explores many interesting and novel topics that lie at the intersection between gravity, quantum fields, condensed matter, physical cosmology and topology … A rich, well-organized, and comprehensive overview of remarkable and insightful connections between physics and topology is here made available to the physics reader.'Contemporary PhysicsSince its birth in Poincaré's seminal 1894 'Analysis Situs', topology has become a cornerstone of mathematics. As with all beautiful mathematical concepts, topology inevitably — resonating with that Wignerian principle of the effectiveness of mathematics in the natural sciences — finds its prominent role in physics. From Chern-Simons theory to topological quantum field theory, from knot invariants to Calabi-Yau compactification in string theory, from spacetime topology in cosmology to the recent Nobel Prize winning work on topological insulators, the interactions between topology and physics have been a triumph over the past few decades.In this eponymous volume, we are honoured to have contributions from an assembly of grand masters of the field, guiding us with their world-renowned expertise on the subject of the interplay between 'Topology' and 'Physics'. Beginning with a preface by Chen Ning Yang on his recollections of the early days, we proceed to a novel view of nuclei from the perspective of complex geometry by Sir Michael Atiyah and Nick Manton, followed by an entrée toward recent developments in two-dimensional gravity and intersection theory on the moduli space of Riemann surfaces by Robbert Dijkgraaf and Edward Witten; a study of Majorana fermions and relations to the Braid group by Louis H Kauffman; a pioneering investigation on arithmetic gauge theory by Minhyong Kim; an anecdote-enriched review of singularity theorems in black-hole physics by Sir Roger Penrose; an adventure beyond anyons by Zhenghan Wang; an aperçu on topological insulators from first-principle calculations by Haijun Zhang and Shou-Cheng Zhang; finishing with synopsis on quantum information theory as one of the four revolutions in physics and the second quantum revolution by Xiao-Gang Wen. We hope that this book will serve to inspire the research community.



Simple Science Experiments With Circles


Simple Science Experiments With Circles
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Author : Eiji Orii
language : en
Publisher: Gareth Stevens Pub
Release Date : 1989-01-01

Simple Science Experiments With Circles written by Eiji Orii and has been published by Gareth Stevens Pub this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989-01-01 with Juvenile Nonfiction categories.


Presents experiments demonstrating properties of circles and loops made of cloth, paper, and string.



Topology Control In Wireless Sensor Networks


Topology Control In Wireless Sensor Networks
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Author : Miguel A. Labrador
language : en
Publisher: Springer Science & Business Media
Release Date : 2009-02-27

Topology Control In Wireless Sensor Networks written by Miguel A. Labrador and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-02-27 with Technology & Engineering categories.


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.



Topology Geometry And Field Theory Proceedings Of The 31st International Taniguchi Symposium And Proceedings Of The Conference


Topology Geometry And Field Theory Proceedings Of The 31st International Taniguchi Symposium And Proceedings Of The Conference
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Author : Kenji Fukaya
language : en
Publisher: World Scientific
Release Date : 1994-08-31

Topology Geometry And Field Theory Proceedings Of The 31st International Taniguchi Symposium And Proceedings Of The Conference written by Kenji Fukaya and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-08-31 with categories.


Nobel Symposium 129 on Neutrino Physics was held at Haga Slott in Enköping, Sweden during August 19-24, 2004. Invited to the symposium were around 40 globally leading researchers in the field of neutrino physics, both experimental and theoretical.The dominant theme of the lectures was neutrino oscillations, which after several years were recently verified by results from the Super-Kamiokande detector in Kamioka, Japan and the SNO detector in Sudbury, Canada. Discussion focused especially on effects of neutrino oscillations derived from the presence of matter and the fact that three different neutrinos exist. Since neutrino oscillations imply that neutrinos have mass, this is the first experimental observation that fundamentally deviates from the standard model of particle physics. This is a challenge to both theoretical and experimental physics. The various oscillation parameters will be determined with increased precision in new, specially designed experiments. Theoretical physics is working intensively to insert the knowledge that neutrinos have mass into the theoretical models that describe particle physics. The lectures provided a very good description of the intensive situation in the field right now. The topics discussed also included mass models for neutrinos, neutrinos in extra dimensions as well as the “seesaw mechanism,” which provides a good description of why neutrino masses are so small.This book is A4 size and in full color.



Performability In Internet Of Things


Performability In Internet Of Things
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Author : Fadi Al-Turjman
language : en
Publisher: Springer
Release Date : 2018-08-22

Performability In Internet Of Things written by Fadi Al-Turjman and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-22 with Technology & Engineering categories.


This book discusses the challenges in the convergence of technologies as the Internet of Things (IoT) evolves. These include sensing, computing, information processing, networking, and controlling intelligent technologies. The contributors first provide a survey of various assessment and evaluation approaches available for successful convergence. They then go on to cover several operational ideas to apply. The contributors then discuss the challenges involved bridging gaps in computation and the communication process, hidden networks, intelligent decision making, human-to-machine perception and large-scale IoT environments. The contributors aim to provide the reader an overview of trends in IoT in terms of performability and traffic modeling and efforts that can be spent in assessing the graceful degradation in IoT paradigms. Provides a survey of IoT assessment and evaluation approaches; Covers new and innovative operational ideas that apply to the IoT industry and the industries it affects; Includes chapters from researchers and industry leaders in IoT from around the world.



Topology In Ordered Phases With Cd Rom Proceedings Of The 1st International Symposium On Top2005


Topology In Ordered Phases With Cd Rom Proceedings Of The 1st International Symposium On Top2005
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Author : Satoshi Tanda
language : en
Publisher: World Scientific
Release Date : 2006-08-01

Topology In Ordered Phases With Cd Rom Proceedings Of The 1st International Symposium On Top2005 written by Satoshi Tanda and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-08-01 with Science categories.


The concept of topology has become commonplace in various scientific fields. The next stage is to bring together the knowledge accumulated in these fields. This volume contains articles on experiments and theories in connection with topology, including wide-ranging fields such as materials science, superconductivity, charge density waves, superfluidity, optics, and field theory. The nearly 60 peer-reviewed papers include contributions by noted authors Michael V Berry and Roman W Jackiw. The book serves as an excellent reference for both researchers and graduate students.



Topology For Analysis


Topology For Analysis
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Author : Albert Wilansky
language : en
Publisher:
Release Date : 1973

Topology For Analysis written by Albert Wilansky and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1973 with Topology categories.