Geometry And Its Applications In Arts Nature And Technology

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Geometry And Its Applications In Arts Nature And Technology

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Author : Georg Glaeser
language : en
Publisher: Springer Nature
Release Date : 2020-12-18

Geometry And Its Applications In Arts Nature And Technology written by Georg Glaeser and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-12-18 with Mathematics categories.

This book returns geometry to its natural habitats: the arts, nature and technology. Throughout the book, geometry comes alive as a tool to unlock the understanding of our world. Assuming only familiarity with high school mathematics, the book invites the reader to discover geometry through examples from biology, astronomy, architecture, design, photography, drawing, engineering and more. Lavishly illustrated with over 1200 figures, all of the geometric results are carefully derived from scratch, with topics from differential, projective and non-Euclidean geometry, as well as kinematics, introduced as the need arises. The mathematical results contained in the book range from very basic facts to recent results, and mathematical proofs are included although not necessary for comprehension. With its wide range of geometric applications, this self-contained volume demonstrates the ubiquity of geometry in our world, and may serve as a source of inspiration for architects, artists, designers, engineers, and natural scientists. This new edition has been completely revised and updated, with new topics and many new illustrations.

Handbook Of Research On Visual Computing And Emerging Geometrical Design Tools

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Author : Amoruso, Giuseppe
language : en
Publisher: IGI Global
Release Date : 2016-04-11

Handbook Of Research On Visual Computing And Emerging Geometrical Design Tools written by Amoruso, Giuseppe and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-11 with Design categories.

Visual computing and descriptive geometry are multidisciplinary fields addressing the handling of images, 3D models, and other computer graphics. These ideas are experiencing a revival due to emergent technologies and applications available to developers. Based in traditional forms of design and architecture, these fields are currently experiencing a bounty of new research based on old principles. The Handbook of Research on Visual Computing and Emerging Geometrical Design Tools seeks to add to this knowledge base by considering these technologies from a designer’s perspective rather than reiterating the principles of computer science. It combines aspects of geometry and representation with emerging tools for CAD, generation, and visualization while addressing the digital heritage of such fields. This book is an invaluable resource for developers, students of both graphic and computer-generated design, researchers, and designers.

Nature And Numbers

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Author : Georg Glaeser
language : en
Publisher: Birkhäuser
Release Date : 2013-12-18

Nature And Numbers written by Georg Glaeser and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-12-18 with Art categories.

Mathematicians with special interest in biology, physics, geography, astronomy, architecture, design, etc., and being prepared to take pictures at any time, might try to answer unusual questions like the followings: What do a zebra, a tiger shark, and a hard coral have in common? How is this with drying mud, wings of dragon flies, and the structures of leaves? What is the “snail king” and is there also a “worm king”? Which curves stay of the same type after being photographed? Do fishes see like we do if we look through a fisheye lens? Which geometric properties of an object have physical consequences? Which kinds of geometric patterns appear when waves are interfering? In this book you can find 180 double pages with at least as many questions of this kind. The principle to attack a problem is often similar: It starts with a photo that is for some reasons remarkable. In a short description an explanation is offered, including relevant Internet links. Additionally one can frequently find computer simulations in order to illustrate and confirm.

Distinguished Figures In Descriptive Geometry And Its Applications For Mechanism Science

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Author : Michela Cigola
language : en
Publisher: Springer
Release Date : 2015-07-27

Distinguished Figures In Descriptive Geometry And Its Applications For Mechanism Science written by Michela Cigola and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-07-27 with Technology & Engineering categories.

This book consists of chapters that focus specifically on single figures that worked on Descriptive Geometry and also in Mechanisms Sciences and contain biographical notes, a survey of their work and their achievements, together with a modern interpretation of their legacy. Since Vitruvius in ancient times, and with Brunelleschi in the Renaissance, the two disciplines began to share a common direction which, over the centuries, took shape through less well-known figures until the more recent times in which Gaspard Monge worked. Over the years, a gap has been created between Descriptive Geometry and Mechanism Science, which now appear to belong to different worlds. In reality, however, there is a very close relationship between the two disciplines, with a link based on extremely solid foundations. Without the theoretical foundations of Geometry it would not be possible to draw and design mechanical parts such as gears, while in Kinematics it would be less easy to design and predict the reciprocal movements of parts in a complex mechanical assembly.

The Visual Language Of Technique

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Author : Luigi Cocchiarella
language : en
Publisher: Springer
Release Date : 2015-03-14

The Visual Language Of Technique written by Luigi Cocchiarella and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-03-14 with Mathematics categories.

The book is inspired by the first seminar in a cycle connected to the celebrations of the 150th anniversary of the Politecnico di Milano. "Dealing with the Image Ivory Towers and Virtual Bridges" was the motto of this meeting, aiming to stimulate a discussion among engineers, designers and architects, all of whom are traditionally involved in the use of the Image as a specialized language supporting their work, their research activities and their educational tasks. The book will also include the essays of invited or interviewed authors from other disciplines, namely Philosophy, Mathematics and Semiotics. According to Regis Debray, in the present "Visual Age", which he has significantly defined as a "Video-Sphere", all the information tends to be processed and controlled by means of visual devices. This occurs especially in the various branches of many technical studies and activities, one of the most sensitive areas to the use of Visual Language in the past and even more in the present.

Circles Spheres And Spherical Geometry

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Author : Hiroshi Maehara
language : en
Publisher: Springer Nature
Release Date : 2024-08-09

Circles Spheres And Spherical Geometry written by Hiroshi Maehara and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-08-09 with Mathematics categories.

This textbook focuses on the geometry of circles, spheres, and spherical geometry. Various classic themes are used as introductory and motivating topics. The book begins very simply for the reader in the first chapter discussing the notions of inversion and stereographic projection. Here, various classical topics and theorems such as Steiner cycles, inversion, Soddy's hexlet, stereographic projection and Poncelet's porism are discussed. The book then delves into Bend formulas and the relation of radii of circles, focusing on Steiner circles, mutually tangent four circles in the plane and other related notions. Next, some fundamental concepts of graph theory are explained. The book then proceeds to explore orthogonal-cycle representation of quadrangulations, giving detailed discussions of the Brightwell-Scheinerman theorem (an extension of the Koebe-Andreev-Thurston theorem), Newton’s 13-balls-problem, Casey’s theorem (an extension of Ptolemy’s theorem) and its generalizations. The remainder of the book is devoted to spherical geometry including a chapter focusing on geometric probability on the sphere. The book also contains new results of the authors and insightful notes on the existing literature, bringing the reader closer to the research front. Each chapter concludes with related exercises of varying levels of difficulty. Solutions to selected exercises are provided. This book is suitable to be used as textbook for a geometry course or alternatively as basis for a seminar for both advanced undergraduate and graduate students alike.

The Universe Of Conics

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Author : Georg Glaeser
language : en
Publisher: Springer
Release Date : 2016-03-22

The Universe Of Conics written by Georg Glaeser and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-03-22 with Mathematics categories.

This text presents the classical theory of conics in a modern form. It includes many novel results that are not easily accessible elsewhere. The approach combines synthetic and analytic methods to derive projective, affine and metrical properties, covering both Euclidean and non-Euclidean geometries. With more than two thousand years of history, conic sections play a fundamental role in numerous fields of mathematics and physics, with applications to mechanical engineering, architecture, astronomy, design and computer graphics. This text will be invaluable to undergraduate mathematics students, those in adjacent fields of study, and anyone with an interest in classical geometry. Augmented with more than three hundred fifty figures and photographs, this innovative text will enhance your understanding of projective geometry, linear algebra, mechanics, and differential geometry, with careful exposition and many illustrative exercises.

Handbook Of Research On Integrating Computer Science And Computational Thinking In K 12 Education

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Author : Keengwe, Jared
language : en
Publisher: IGI Global
Release Date : 2019-12-13

Handbook Of Research On Integrating Computer Science And Computational Thinking In K 12 Education written by Keengwe, Jared and has been published by IGI Global this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-12-13 with Education categories.

As technology continues to develop and prove its importance in modern society, certain professions are acclimating. Aspects such as computer science and computational thinking are becoming essential areas of study. Implementing these subject areas into teaching practices is necessary for younger generations to adapt to the developing world. There is a critical need to examine the pedagogical implications of these technological skills and implement them into the global curriculum. The Handbook of Research on Integrating Computer Science and Computational Thinking in K-12 Education is a collection of innovative research on the methods and applications of computer science curriculum development within primary and secondary education. While highlighting topics including pedagogical implications, comprehensive techniques, and teacher preparation models, this book is ideally designed for teachers, IT consultants, curriculum developers, instructional designers, educational software developers, higher education faculty, administrators, policymakers, researchers, and graduate students.

Nature

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Author : Sir Norman Lockyer
language : en
Publisher:
Release Date : 1891

Nature written by Sir Norman Lockyer and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1891 with Electronic journals categories.

Doors To Hidden Worlds

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Author : Alfred Vendl
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-10-04

Doors To Hidden Worlds written by Alfred Vendl and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-10-04 with Art categories.

40 years of science visualization The visualization of often-encrypted data reveals new, previously hidden, but quite real worlds to humankind. Art adopts these insights and uses them to create new dimensions. This book brings together a wide range of contributions on visualization in science, media, and art. Renowned experts and associates of the Science Visualization Lab at the University of Applied Arts Vienna present examples of outstanding and innovative visualization projects and provide insight into their working methods. The book follows a variety of approaches to expanding perception and rendering the invisible visible. “If the doors of perception were cleansed, every thing would appear to man as it is, infinite.” – William Blake Insight into the thinking and working methods of renowned scientists, media experts, and artists Lavish publication with numerous illustrations and AR features With contributions by Ina Conradi / Mark Chavez, Christian Köberl, Walter Köhler, Thomas Matzek, Markus Müller, Ruth Schnell, Victoria Vesna / James K. Gimzewski, Manfred Wakolbinger, and others