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Author : James King,Doris Schattschneider
Publisher : Cambridge University Press
Page : 228 pages
File Size : 49,5 Mb
Release : 1997-10-30
Category : Mathematics
ISBN : 0883850990
Articles about the uses of active, exploratory geometry carried out with interactive computer software.
Author : Jürgen Richter-Gebert,Ulrich H. Kortenkamp
Publisher : Springer Science & Business Media
Page : 153 pages
File Size : 48,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642583186
Cinderella is a unique, technically very sophisticated teachware for geometry that will be used as a tool by students learning Euclidean, projective, spherical and hyperbolic geometry, as well as in geometric research. Moreover, it can also serve as an authors' tool to design web pages with interactive constructions or even complete geometry exercises.
Author : Catherine A. Gorini
Publisher : Infobase Publishing
Page : 289 pages
File Size : 47,9 Mb
Release : 2014-05-14
Category : Mathematics
ISBN : 9781438109572
Contains a history of the subject of geometry, including more than 3,000 entries providing definitions and explanations of related topics, plus brief biographies of over 300 scientists.
Author : Hoon Hong,Dongming Wang
Publisher : Springer
Page : 213 pages
File Size : 40,8 Mb
Release : 2006-02-08
Category : Computers
ISBN : 9783540313632
This book presents the thoroughly refereed post-proceedings of the 5th International Workshop on Automated Deduction in Geometry, ADG 2004, held at Gainesville, FL, USA in September 2004. The 12 revised full papers presented aurvey current issues theoretical and methodological topics as well as applications thereof - in particular automated geometry theorem proving, automated geometry problem solving, problems of dynamic geometry, and an object-oriented language for geometric objects.
Author : Michel Laurent Lapidus,Machiel Van Frankenhuysen
Publisher : American Mathematical Soc.
Page : 760 pages
File Size : 40,9 Mb
Release : 2004
Category : Mathematics
ISBN : 0821836374
This volume offers an excellent selection of cutting-edge articles about fractal geometry, covering the great breadth of mathematics and related areas touched by this subject. Included are rich survey articles and fine expository papers. The high-quality contributions to the volume by well-known researchers--including two articles by Mandelbrot--provide a solid cross-section of recent research representing the richness and variety of contemporary advances in and around fractal geometry. In demonstrating the vitality and diversity of the field, this book will motivate further investigation into the many open problems and inspire future research directions. It is suitable for graduate students and researchers interested in fractal geometry and its applications. This is a two-part volume. Part 1 covers analysis, number theory, and dynamical systems; Part 2, multifractals, probability and statistical mechanics, and applications.
Author : Nigel Hiscock
Publisher : Routledge
Page : 403 pages
File Size : 44,6 Mb
Release : 2018-05-08
Category : Social Science
ISBN : 9781351769747
This title was first published in 2000: Did the plan of medieval churches have any underlying symbolic meaning? This work re-opens the debate about the importance of geometry and symbolism in medieval architectural design and argues the case for attributing an intellectual meaning to the planning of abbeys and cathedrals. In challenging prevailing claims for the use of arithmetical rations in architectural design, notably those based on the square root of two, Dr Hiscock advances a perspective consisting of proportions derived from the figures of Platonic geometry - the square, the equilateral triangle and the pentagon - and provides evidence for the symbolic interpretation of these figures. The investigation further reveals whole series of geometric relationships between some of England's most celebrated Norman cathedrals, such as Norwich or Durham, together with a wide sample from the Continent, from Old St Peter's in Rome to Chartres Cathedral, and sets out a comprehensive design method in each case. Hiscock first demonstrates the proposition that the ideas of Christian Platonism, including number and geometry, remained current and were employed in the thought of the early Middle Ages. In particular, he argues that they can be associated with the leading persons in the 10th-century revival of monasticism and that they found expression in the "white mantle of churches" that spread across Western Europe at the end of the first millennium AD. The book then provides a detailed analysis of the geometric proportions of church plans between the 9th and 12th centuries in Germany, France and in England. This research seeks to demonstrate that a coherent sequence of geometric forms can be seen in thse plans, forms which correspond to the key figures of Platonic geometry as understood in the context of Christian Platonist thought. In conclusion, the author shows how the system of design proposed could be set out on site using the known working methods of medieval masons.
Author : Zicheng Liu,Zhengyou Zhang
Publisher : Cambridge University Press
Page : 315 pages
File Size : 47,8 Mb
Release : 2011-04-18
Category : Computers
ISBN : 9781139498876
Human faces are familiar to our visual systems. We easily recognize a person's face in arbitrary lighting conditions and in a variety of poses; detect small appearance changes; and notice subtle expression details. Can computer vision systems process face images as well as human vision systems can? Face image processing has potential applications in surveillance, image and video search, social networking and other domains. A comprehensive guide to this fascinating topic, this book provides a systematic description of modeling face geometry and appearance from images, including information on mathematical tools, physical concepts, image processing and computer vision techniques, and concrete prototype systems. The book will be an excellent reference for researchers and graduate students in computer vision, computer graphics and multimedia, as well as application developers who would like to gain a better understanding of the state of the art.
Author : Jorge Stolfi
Publisher : Academic Press
Page : 246 pages
File Size : 47,9 Mb
Release : 2014-05-10
Category : Mathematics
ISBN : 9781483265193
Oriented Projective Geometry: A Framework for Geometric Computations proposes that oriented projective geometry is a better framework for geometric computations than classical projective geometry. The aim of the book is to stress the value of oriented projective geometry for practical computing and develop it as a rich, consistent, and effective tool for computer programmers. The monograph is comprised of 20 chapters. Chapter 1 gives a quick overview of classical and oriented projective geometry on the plane, and discusses their advantages and disadvantages as computational models. Chapters 2 through 7 define the canonical oriented projective spaces of arbitrary dimension, the operations of join and meet, and the concept of relative orientation. Chapter 8 defines projective maps, the space transformations that preserve incidence and orientation; these maps are used in chapter 9 to define abstract oriented projective spaces. Chapter 10 introduces the notion of projective duality. Chapters 11, 12, and 13 deal with projective functions, projective frames, relative coordinates, and cross-ratio. Chapter 14 tells about convexity in oriented projective spaces. Chapters 15, 16, and 17 show how the affine, Euclidean, and linear vector spaces can be emulated with the oriented projective space. Finally, chapters 18 through 20 discuss the computer representation and manipulation of lines, planes, and other subspaces. Computer scientists and programmers will find this text invaluable.
Author : Layla S. Mayboudi
Publisher : Mercury Learning and Information
Page : 300 pages
File Size : 55,6 Mb
Release : 2019-09-20
Category : Technology & Engineering
ISBN : 9781683922148
This book focuses on the geometry creation techniques for use in finite element analysis. Examples are provided as a sequence of fin designs with progressively increasing complexity. A fin was selected as it is a feature widely employed for thermal management. As the content progresses, the reader learns to create or import a geometry into a FEM tool using COMSOL Multiphysics®. The fundamentals may also be applied to other commercial packages such as ANSYS® or AbaqusTM. The content can be utilized in a variety of engineering disciplines including mechanical, aerospace, biomedical, chemical, civil, and electrical. The book provides an overview of the tools available to create and interact with the geometry. It also takes a broader look on the world of geometry, showing how geometry is a fundamental part of nature and how it is interconnected with the world around us. Features: Includes example models that enable the reader to implement conceptual material in practical scenarios with broad industrial applications Provides geometry modeling examples created with built in features of COMSOL Multiphysics® v. 5.4 or imported from other dedicated CAD tools Presents meshing examples and provides practical advice on mesh generation Includes companion files with models and custom applications created with COMSOL Multiphysics® Application Builder.
Author : Mark de Berg
Publisher : Springer Science & Business Media
Page : 388 pages
File Size : 42,6 Mb
Release : 2008-03-07
Category : Computers
ISBN : 9783540779735
This introduction to computational geometry focuses on algorithms. Motivation is provided from the application areas as all techniques are related to particular applications in robotics, graphics, CAD/CAM, and geographic information systems. Modern insights in computational geometry are used to provide solutions that are both efficient and easy to understand and implement.
Author : Harold Abelson,Andrea Disessa
Publisher : MIT Press
Page : 502 pages
File Size : 48,5 Mb
Release : 1986-07-09
Category : Computers
ISBN : 0262510375
Turtle Geometry presents an innovative program of mathematical discovery that demonstrates how the effective use of personal computers can profoundly change the nature of a student's contact with mathematics. Using this book and a few simple computer programs, students can explore the properties of space by following an imaginary turtle across the screen. The concept of turtle geometry grew out of the Logo Group at MIT. Directed by Seymour Papert, author of Mindstorms, this group has done extensive work with preschool children, high school students and university undergraduates.
Author : Aaron Dietzen aka 'The SketchUp Guy'
Publisher : Packt Publishing Ltd
Page : 444 pages
File Size : 52,7 Mb
Release : 2022-09-28
Category : Computers
ISBN : 9781803249339
Create beautiful custom materials and leverage powerful extensions for efficient modeling Key FeaturesUnderstand how to get the most out of SketchUp's powerful native tools with key images printed in colorCustomize and transform your workspace for efficient 3D modelingGo beyond SketchUp's capabilities with extensions and free online resourcesBook Description Anyone who's worked with it will know that SketchUp is the quickest and easiest way to create 3D models. While its approachable interface makes it super easy to learn, this book will show you how the extremely capable SketchUp software can take you far beyond what you may have initially thought possible. Get ready to level up from a basic user to becoming a SketchUp ninja! Each chapter will take you through the capabilities of SketchUp, challenging you to use tools in innovative ways. This includes organizing your model, modifying native commands, customizing your interface, utilizing inferencing, and much more. Additionally, you'll learn about the extensions that can be added to SketchUp to supplement the tools you have been using, allowing you to make your 3D modeling process quicker, easier, and more powerful. By the end of this SketchUp book, you'll have an enhanced understanding of how to use the impressive range of tools and be on your way to customizing SketchUp for your one-of-a-kind workflow. What you will learnRecap the basics of navigation and SketchUp's native modeling toolsModify commands, toolbars, and shortcuts to improve your modeling efficiencyUse default templates, as well as create custom templatesOrganize your models with groups, components, tags, and scenesAnalyze your own modeling workflow and understand how to improve itDiscover extensions and online repositories that unlock the advanced capabilities of SketchUpLeverage your existing SketchUp Pro subscription for even better resultsWho this book is for This book is for designers, architects, and professional modelers who have used SketchUp before, perhaps self-taught, or have completed software training but find themselves needing more than just the basics from SketchUp. The book assumes that you have spent some time in SketchUp and have basic modeling experience.
Author : Antonio Lima-de-Faria
Publisher : Springer Science & Business Media
Page : 171 pages
File Size : 52,8 Mb
Release : 2012-03-19
Category : Science
ISBN : 9783642253010
After having read this book you will never see birds in the same way again. The unexpected patterns displayed by a bird’s body have been seen as bizarre events that demanded little attention or were described as ‘amazing curiosities’. None of these surprising features seem to be fortuitous. They appear to be an integral part of a rigid order and a coherent geometry, which is directed by simple gene interactions and molecular cascades occurring at various cellular levels, and at different times, during the organism’s development. A novel geometry unfolds in front of your eyes, giving the body configurations another meaning. Lima-de-Faria is Professor Emeritus of Molecular Cytogenetics at Lund University, Lund, Sweden. This is his sixth book dealing with the molecular organization of the chromosome and its implications for the understanding of the mechanisms responsible for biological evolution.
Author : Weiping Li
Publisher : American Mathematical Soc.
Page : 210 pages
File Size : 53,9 Mb
Release : 2011
Category : Three-manifolds (Topology)
ISBN : 9780821852958
Author : Weiping Zhang,Mo-lin Ge
Publisher : World Scientific
Page : 542 pages
File Size : 41,5 Mb
Release : 2006-12-11
Category : Mathematics
ISBN : 9789814476584
This volumes provides a comprehensive review of interactions between differential geometry and theoretical physics, contributed by many leading scholars in these fields. The contributions promise to play an important role in promoting the developments in these exciting areas. Besides the plenary talks, the coverage includes: models and related topics in statistical physics; quantum fields, strings and M-theory; Yang-Mills fields, knot theory and related topics; K-theory, including index theory and non-commutative geometry; mirror symmetry, conformal and topological quantum field theory; development of integrable systems; and random matrix theory.