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Author: Burkard Polster
Publisher: Cambridge University Press
ISBN: 9780521660587
Category : Mathematics
Languages : en
Pages : 518
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Book Description
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.
Author: Burkard Polster
Publisher: Cambridge University Press
ISBN: 9780521660587
Category : Mathematics
Languages : en
Pages : 518
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Book Description
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.
Author: Norman Johnson
Publisher: CRC Press
ISBN: 9780824700355
Category : Mathematics
Languages : en
Pages : 458
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Book Description
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.
Author: Francis Buekenhout
Publisher: North-Holland
ISBN:
Category : Mathematics
Languages : en
Pages : 1440
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Book Description
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.
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 984
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Book Description
Author:
Publisher:
ISBN:
Category : Algebra
Languages : en
Pages : 640
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Book Description
Author: Ian McDonald
Publisher: Prometheus Books
ISBN: 1616145420
Category : Young Adult Fiction
Languages : en
Pages : 261
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Book Description
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)
Author: Sanju Gupta
Publisher:
ISBN: 9783319765976
Category : Materials science
Languages : en
Pages : 297
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Book Description
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.
Author: Roman Shvydkoy
Publisher: Springer Nature
ISBN: 3030681475
Category : Mathematics
Languages : en
Pages : 208
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Book Description
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.
Author: R.G. Collingwood
Publisher:
ISBN: 9781614275558
Category : Political Science
Languages : en
Pages : 398
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Book Description
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.
Author: Justin Solomon
Publisher: CRC Press
ISBN: 1482251892
Category : Computers
Languages : en
Pages : 400
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Book Description
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
