Flocks Of Topological Circle Planes

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Geometries on Surfaces

Author : Burkard Polster
Publisher : Cambridge University Press
ISBN 13 : 9780521660587
Total Pages : 518 pages
Book Rating : 4.6/5 (65 download)

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Book Synopsis Geometries on Surfaces by : Burkard Polster

Download or read book Geometries on Surfaces written by Burkard Polster and published by Cambridge University Press. This book was released on 2001-10-03 with total page 518 pages. Available in PDF, EPUB and Kindle. Book excerpt: The projective, Möbius, Laguerre, and Minkowski planes over the real numbers are just a few examples of a host of fundamental classical topological geometries on surfaces. This book summarizes all known major results and open problems related to these classical point-line geometries and their close (nonclassical) relatives. Topics covered include: classical geometries; methods for constructing nonclassical geometries; classifications and characterizations of geometries. This work is related to many other fields including interpolation theory, convexity, the theory of pseudoline arrangements, topology, the theory of Lie groups, and many more. The authors detail these connections, some of which are well-known, but many much less so. Acting both as a reference for experts and as an accessible introduction for graduate students, this book will interest anyone wishing to know more about point-line geometries and the way they interact.

Mostly Finite Geometries

Author : Norman Johnson
Publisher : CRC Press
ISBN 13 : 9780824700355
Total Pages : 458 pages
Book Rating : 4.7/5 (3 download)

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Book Synopsis Mostly Finite Geometries by : Norman Johnson

Download or read book Mostly Finite Geometries written by Norman Johnson and published by CRC Press. This book was released on 1997-05-06 with total page 458 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on the proceedings of the conference held at the University of Iowa, in honour and celebration of the mathematician T.G. Ostrom's 80th birthday, this text focuses on finite geometries as well as topological geometries in the infinite case, some of which originate with ideas of finite geometric objects. It includes information about flocks of quadratic cones and related geometric and combinatorial structures.

Handbook of Incidence Geometry

Author : Francis Buekenhout
Publisher : North-Holland
ISBN 13 :
Total Pages : 1440 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Handbook of Incidence Geometry by : Francis Buekenhout

Download or read book Handbook of Incidence Geometry written by Francis Buekenhout and published by North-Holland. This book was released on 1995 with total page 1440 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hardbound. This Handbook deals with the foundations of incidence geometry, in relationship with division rings, rings, algebras, lattices, groups, topology, graphs, logic and its autonomous development from various viewpoints. Projective and affine geometry are covered in various ways. Major classes of rank 2 geometries such as generalized polygons and partial geometries are surveyed extensively.More than half of the book is devoted to buildings at various levels of generality, including a detailed and original introduction to the subject, a broad study of characterizations in terms of points and lines, applications to algebraic groups, extensions to topological geometry, a survey of results on diagram geometries and nearby generalizations such as matroids.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 984 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 984 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Beiträge Zur Algebra und Geometrie

Author :
Publisher :
ISBN 13 :
Total Pages : 640 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Beiträge Zur Algebra und Geometrie by :

Download or read book Beiträge Zur Algebra und Geometrie written by and published by . This book was released on 1971 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Planesrunner

Author : Ian McDonald
Publisher : Prometheus Books
ISBN 13 : 1616145420
Total Pages : 261 pages
Book Rating : 4.6/5 (161 download)

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Book Synopsis Planesrunner by : Ian McDonald

Download or read book Planesrunner written by Ian McDonald and published by Prometheus Books. This book was released on 2011-12-06 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: There is not one you. There are many yous. There is not one world. There are many worlds. Ours is one of billions of parallel earths. When Everett Singh's scientist father is kidnapped from the streets of London, he leaves young Everett a mysterious app on his computer. Suddenly, this fourteen-year-old has become the owner of the most valuable object in the multiverse-the Infundibulum-the map of all the parallel earths, and there are dark forces in the Ten Known Worlds who will stop at nothing to get it. They've got power, authority, and the might of ten planets-some of them more technologically advanced than our Earth-at their fingertips. He's got wits, intelligence, and a knack for Indian cooking. To keep the Infundibulum safe, Everett must trick his way through the Heisenberg Gate his dad helped build and go on the run in a parallel Earth. But to rescue his Dad from Charlotte Villiers and the sinister Order, this Planesrunner's going to need friends. Friends like Captain Anastasia Sixsmyth, her adopted daughter Sen, and the crew of the airship Everness. Can they rescue Everett's father and get the Infundibulum to safety? The game is afoot! (For ages 12 & up)

Dynamics and Analysis of Alignment Models of Collective Behavior

Author : Roman Shvydkoy
Publisher : Springer Nature
ISBN 13 : 3030681475
Total Pages : 208 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Dynamics and Analysis of Alignment Models of Collective Behavior by : Roman Shvydkoy

Download or read book Dynamics and Analysis of Alignment Models of Collective Behavior written by Roman Shvydkoy and published by Springer Nature. This book was released on 2021-05-13 with total page 208 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a class of alignment models based on the so-called Cucker-Smale system as well as its kinetic and hydrodynamic counterparts. Cutting edge research in the area of collective behavior is presented, including emerging techniques from fluid mechanics, fractional analysis, and kinetic theory. Analytical aspects are highlighted throughout, such as regularity theory and long time behavior of solutions. Featuring open problems, readers will be motivated to apply these breakthrough methods to future research. The chapters offer an overview of state of the art research with introductions to core concepts. Chapter One introduces the central focus of the book: The agent-based Cucker-Smale system. Further agent-based systems and alignment systems are covered in chapters Two and Three. Following this are chapters covering the kinetic and hydrodynamic variants of the Cucker-Smale system. The core well-posedness theory of both smooth and singular models is then presented. Chapter Eight discusses the fully developed one-dimensional theory. The final chapter presents some of the known partial results concerning the regularity of multidimensional Euler Alignment systems. Dynamics and Analysis of Alignment Models of Collective Behavior is ideal for graduate students and researchers studying PDEs, especially those interested in the active areas of collective behavior and alignment models.

The Role of Topology in Materials

Author : Sanju Gupta
Publisher :
ISBN 13 : 9783319765976
Total Pages : 297 pages
Book Rating : 4.7/5 (659 download)

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Book Synopsis The Role of Topology in Materials by : Sanju Gupta

Download or read book The Role of Topology in Materials written by Sanju Gupta and published by . This book was released on 2018 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the most important advances in the class of topological materials and discusses the topological characterization, modeling and metrology of materials. Further, it addresses currently emerging characterization techniques such as optical and acoustic, vibrational spectroscopy (Brillouin, infrared, Raman), electronic, magnetic, fluorescence correlation imaging, laser lithography, small angle X-ray and neutron scattering and other techniques, including site-selective nanoprobes. The book analyzes the topological aspects to identify and quantify these effects in terms of topology metrics. The topological materials are ubiquitous and range from (i) de novo nanoscale allotropes of carbons in various forms such as nanotubes, nanorings, nanohorns, nanowalls, peapods, graphene, etc. to (ii) metallo-organic frameworks, (iii) helical gold nanotubes, (iv) Möbius conjugated polymers, (v) block co-polymers, (vi) supramolecular assemblies, to (vii) a variety of biological and soft-matter systems, e.g. foams and cellular materials, vesicles of different shapes and genera, biomimetic membranes, and filaments, (viii) topological insulators and topological superconductors, (ix) a variety of Dirac materials including Dirac and Weyl semimetals, as well as (x) knots and network structures. Topological databases and algorithms to model such materials have been also established in this book. In order to understand and properly characterize these important emergent materials, it is necessary to go far beyond the traditional paradigm of microscopic structure-property-function relationships to a paradigm that explicitly incorporates topological aspects from the outset to characterize and/or predict the physical properties and currently untapped functionalities of these advanced materials. Simulation and modeling tools including quantum chemistry, molecular dynamics, 3D visualization and tomography are also indispensable. These concepts have found applications in condensed matter physics, materials science and engineering, physical chemistry and biophysics, and the various topics covered in the book have potential applications in connection with novel synthesis techniques, sensing and catalysis. As such, the book offers a unique resource for graduate students and researchers alike.

The New Leviathan; Or, Man, Society, Civilization and Barbarism

Author : R.G. Collingwood
Publisher :
ISBN 13 : 9781614275558
Total Pages : 398 pages
Book Rating : 4.2/5 (755 download)

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Book Synopsis The New Leviathan; Or, Man, Society, Civilization and Barbarism by : R.G. Collingwood

Download or read book The New Leviathan; Or, Man, Society, Civilization and Barbarism written by R.G. Collingwood and published by . This book was released on 2014-01-01 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: 2014 Reprint of 1942 Edition. Exact facsimile of the original edition, not reproduced with Optical Recognition Software. R. G. Collingwood (1889-1943) was a British philosopher and practicing archaeologist best known for his work in aesthetics and the philosophy of history. "The New Leviathan," originally published in 1942, a few months before the author's death, is the book which R. G. Collingwood chose to write in preference to completing his life's work on the philosophy of history. It was a reaction to the Second World War and the threat which Nazism and Fascism constituted to civilization. The book draws upon many years of work in moral and political philosophy and attempts to establish the multiple and complex connections between the levels of consciousness, society, civilization, and barbarism. Collingwood argues that traditional social contract theory has failed to account for the continuing existence of the non-social community and its relation to the social community in the body politic. He is also critical of the tendency within ethics to confound right and duty.

5000 Years of Geometry

Author : Christoph J. Scriba
Publisher : Birkhäuser
ISBN 13 : 3034808984
Total Pages : 638 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis 5000 Years of Geometry by : Christoph J. Scriba

Download or read book 5000 Years of Geometry written by Christoph J. Scriba and published by Birkhäuser. This book was released on 2015-04-22 with total page 638 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book “5000 Jahre Geometrie,” in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering. Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first “Golden Age” in Ancient Greece. Inspired by the Greek mathematics, a new germ of geometry blossomed in the Islamic civilizations. Through the Oriental influence on Spain, this knowledge later spread to Western Europe. Here, as part of the medieval Quadrivium, the understanding of geometry was deepened, leading to a revival during the Renaissance. Together with parallel achievements in India, China, Japan and the ancient American cultures, the European approaches formed the ideas and branches of geometry we know in the modern age: coordinate methods, analytical geometry, descriptive and projective geometry in the 17th an 18th centuries, axiom systems, geometry as a theory with multiple structures and geometry in computer sciences in the 19th and 20th centuries. Each chapter of the book starts with a table of key historical and cultural dates and ends with a summary of essential contents of geometr y in the respective era. Compelling examples invite the reader to further explore the problems of geometry in ancient and modern times. The book will appeal to mathematicians interested in Geometry and to all readers with an interest in cultural history. From letters to the authors for the German language edition I hope it gets a translation, as there is no comparable work. Prof. J. Grattan-Guinness (Middlesex University London) "Five Thousand Years of Geometry" - I think it is the most handsome book I have ever seen from Springer and the inclusion of so many color plates really improves its appearance dramatically! Prof. J.W. Dauben (City University of New York) An excellent book in every respect. The authors have successfully combined the history of geometry with the general development of culture and history. ... The graphic design is also excellent. Prof. Z. Nádenik (Czech Technical University in Prague)

Cooperative Control of Multi-Agent Systems

Author : Frank L. Lewis
Publisher : Springer Science & Business Media
ISBN 13 : 1447155742
Total Pages : 315 pages
Book Rating : 4.4/5 (471 download)

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Book Synopsis Cooperative Control of Multi-Agent Systems by : Frank L. Lewis

Download or read book Cooperative Control of Multi-Agent Systems written by Frank L. Lewis and published by Springer Science & Business Media. This book was released on 2013-12-31 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: Cooperative Control of Multi-Agent Systems extends optimal control and adaptive control design methods to multi-agent systems on communication graphs. It develops Riccati design techniques for general linear dynamics for cooperative state feedback design, cooperative observer design, and cooperative dynamic output feedback design. Both continuous-time and discrete-time dynamical multi-agent systems are treated. Optimal cooperative control is introduced and neural adaptive design techniques for multi-agent nonlinear systems with unknown dynamics, which are rarely treated in literature are developed. Results spanning systems with first-, second- and on up to general high-order nonlinear dynamics are presented. Each control methodology proposed is developed by rigorous proofs. All algorithms are justified by simulation examples. The text is self-contained and will serve as an excellent comprehensive source of information for researchers and graduate students working with multi-agent systems.

Making up Numbers: A History of Invention in Mathematics

Author : Ekkehard Kopp
Publisher : Open Book Publishers
ISBN 13 : 1800640978
Total Pages : 280 pages
Book Rating : 4.8/5 (6 download)

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Book Synopsis Making up Numbers: A History of Invention in Mathematics by : Ekkehard Kopp

Download or read book Making up Numbers: A History of Invention in Mathematics written by Ekkehard Kopp and published by Open Book Publishers. This book was released on 2020-10-23 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt: Making up Numbers: A History of Invention in Mathematics offers a detailed but accessible account of a wide range of mathematical ideas. Starting with elementary concepts, it leads the reader towards aspects of current mathematical research. The book explains how conceptual hurdles in the development of numbers and number systems were overcome in the course of history, from Babylon to Classical Greece, from the Middle Ages to the Renaissance, and so to the nineteenth and twentieth centuries. The narrative moves from the Pythagorean insistence on positive multiples to the gradual acceptance of negative numbers, irrationals and complex numbers as essential tools in quantitative analysis. Within this chronological framework, chapters are organised thematically, covering a variety of topics and contexts: writing and solving equations, geometric construction, coordinates and complex numbers, perceptions of ‘infinity’ and its permissible uses in mathematics, number systems, and evolving views of the role of axioms. Through this approach, the author demonstrates that changes in our understanding of numbers have often relied on the breaking of long-held conventions to make way for new inventions at once providing greater clarity and widening mathematical horizons. Viewed from this historical perspective, mathematical abstraction emerges as neither mysterious nor immutable, but as a contingent, developing human activity. Making up Numbers will be of great interest to undergraduate and A-level students of mathematics, as well as secondary school teachers of the subject. In virtue of its detailed treatment of mathematical ideas, it will be of value to anyone seeking to learn more about the development of the subject.

Numerical Algorithms

Author : Justin Solomon
Publisher : CRC Press
ISBN 13 : 1482251892
Total Pages : 400 pages
Book Rating : 4.4/5 (822 download)

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Book Synopsis Numerical Algorithms by : Justin Solomon

Download or read book Numerical Algorithms written by Justin Solomon and published by CRC Press. This book was released on 2015-06-24 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical Algorithms: Methods for Computer Vision, Machine Learning, and Graphics presents a new approach to numerical analysis for modern computer scientists. Using examples from a broad base of computational tasks, including data processing, computational photography, and animation, the textbook introduces numerical modeling and algorithmic desig

An Introduction to Agent-Based Modeling

Author : Uri Wilensky
Publisher : MIT Press
ISBN 13 : 0262731894
Total Pages : 505 pages
Book Rating : 4.2/5 (627 download)

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Book Synopsis An Introduction to Agent-Based Modeling by : Uri Wilensky

Download or read book An Introduction to Agent-Based Modeling written by Uri Wilensky and published by MIT Press. This book was released on 2015-04-03 with total page 505 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive and hands-on introduction to the core concepts, methods, and applications of agent-based modeling, including detailed NetLogo examples. The advent of widespread fast computing has enabled us to work on more complex problems and to build and analyze more complex models. This book provides an introduction to one of the primary methodologies for research in this new field of knowledge. Agent-based modeling (ABM) offers a new way of doing science: by conducting computer-based experiments. ABM is applicable to complex systems embedded in natural, social, and engineered contexts, across domains that range from engineering to ecology. An Introduction to Agent-Based Modeling offers a comprehensive description of the core concepts, methods, and applications of ABM. Its hands-on approach—with hundreds of examples and exercises using NetLogo—enables readers to begin constructing models immediately, regardless of experience or discipline. The book first describes the nature and rationale of agent-based modeling, then presents the methodology for designing and building ABMs, and finally discusses how to utilize ABMs to answer complex questions. Features in each chapter include step-by-step guides to developing models in the main text; text boxes with additional information and concepts; end-of-chapter explorations; and references and lists of relevant reading. There is also an accompanying website with all the models and code.

Graphs on Surfaces and Their Applications

Author : Sergei K. Lando
Publisher : Springer Science & Business Media
ISBN 13 : 3540383611
Total Pages : 463 pages
Book Rating : 4.5/5 (43 download)

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Book Synopsis Graphs on Surfaces and Their Applications by : Sergei K. Lando

Download or read book Graphs on Surfaces and Their Applications written by Sergei K. Lando and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 463 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphs drawn on two-dimensional surfaces have always attracted researchers by their beauty and by the variety of difficult questions to which they give rise. The theory of such embedded graphs, which long seemed rather isolated, has witnessed the appearance of entirely unexpected new applications in recent decades, ranging from Galois theory to quantum gravity models, and has become a kind of a focus of a vast field of research. The book provides an accessible introduction to this new domain, including such topics as coverings of Riemann surfaces, the Galois group action on embedded graphs (Grothendieck's theory of "dessins d'enfants"), the matrix integral method, moduli spaces of curves, the topology of meromorphic functions, and combinatorial aspects of Vassiliev's knot invariants and, in an appendix by Don Zagier, the use of finite group representation theory. The presentation is concrete throughout, with numerous figures, examples (including computer calculations) and exercises, and should appeal to both graduate students and researchers.

The Spell of the Sensuous

Author : David Abram
Publisher : Vintage
ISBN 13 : 0307830551
Total Pages : 344 pages
Book Rating : 4.3/5 (78 download)

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Book Synopsis The Spell of the Sensuous by : David Abram

Download or read book The Spell of the Sensuous written by David Abram and published by Vintage. This book was released on 2012-10-17 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: Winner of the International Lannan Literary Award for Nonfiction Animal tracks, word magic, the speech of stones, the power of letters, and the taste of the wind all figure prominently in this intellectual tour de force that returns us to our senses and to the sensuous terrain that sustains us. This major work of ecological philosophy startles the senses out of habitual ways of perception. For a thousand generations, human beings viewed themselves as part of the wider community of nature, and they carried on active relationships not only with other people with other animals, plants, and natural objects (including mountains, rivers, winds, and weather patters) that we have only lately come to think of as "inanimate." How, then, did humans come to sever their ancient reciprocity with the natural world? What will it take for us to recover a sustaining relation with the breathing earth? In The Spell of the Sensuous David Abram draws on sources as diverse as the philosophy of Merleau-Ponty, Balinese shamanism, Apache storytelling, and his own experience as an accomplished sleight-of-hand of magician to reveal the subtle dependence of human cognition on the natural environment. He explores the character of perception and excavates the sensual foundations of language, which--even at its most abstract--echoes the calls and cries of the earth. On every page of this lyrical work, Abram weaves his arguments with a passion, a precision, and an intellectual daring that recall such writers as Loren Eisleley, Annie Dillard, and Barry Lopez.

Learning to Think Spatially

Author : National Research Council
Publisher : National Academies Press
ISBN 13 : 0309092086
Total Pages : 333 pages
Book Rating : 4.3/5 (9 download)

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Book Synopsis Learning to Think Spatially by : National Research Council

Download or read book Learning to Think Spatially written by National Research Council and published by National Academies Press. This book was released on 2005-02-03 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Learning to Think Spatially examines how spatial thinking might be incorporated into existing standards-based instruction across the school curriculum. Spatial thinking must be recognized as a fundamental part of Kâ€"12 education and as an integrator and a facilitator for problem solving across the curriculum. With advances in computing technologies and the increasing availability of geospatial data, spatial thinking will play a significant role in the information-based economy of the twenty-first century. Using appropriately designed support systems tailored to the Kâ€"12 context, spatial thinking can be taught formally to all students. A geographic information system (GIS) offers one example of a high-technology support system that can enable students and teachers to practice and apply spatial thinking in many areas of the curriculum.