shaping space exploring polyhedra in nature art and the geometrical imagination

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Shaping Space

Author : Marjorie Senechal
ISBN : 9780387927145
Genre : Mathematics
File Size : 24. 23 MB
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This second edition is based off of the very popular Shaping Space: A Polyhedral Approach, first published twenty years ago. The book is expanded and updated to include new developments, including the revolutions in visualization and model-making that the computer has wrought. Shaping Space is an exuberant, richly-illustrated, interdisciplinary guide to three-dimensional forms, focusing on the suprisingly diverse world of polyhedra. Geometry comes alive in Shaping Space, as a remarkable range of geometric ideas is explored and its centrality in our cultre is persuasively demonstrated. The book is addressed to designers, artists, architects, engineers, chemists, computer scientists, mathematicians, bioscientists, crystallographers, earth scientists, and teachers at all levels—in short, to all scholars and educators interested in, and working with, two- and three-dimensinal structures and patterns.

Geometries And Transformations

Author : Norman W. Johnson
ISBN : 9781108132671
Genre : Mathematics
File Size : 50. 69 MB
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Euclidean and other geometries are distinguished by the transformations that preserve their essential properties. Using linear algebra and transformation groups, this book provides a readable exposition of how these classical geometries are both differentiated and connected. Following Cayley and Klein, the book builds on projective and inversive geometry to construct 'linear' and 'circular' geometries, including classical real metric spaces like Euclidean, hyperbolic, elliptic, and spherical, as well as their unitary counterparts. The first part of the book deals with the foundations and general properties of the various kinds of geometries. The latter part studies discrete-geometric structures and their symmetries in various spaces. Written for graduate students, the book includes numerous exercises and covers both classical results and new research in the field. An understanding of analytic geometry, linear algebra, and elementary group theory is assumed.

Handbook Of Discrete And Computational Geometry Third Edition

Author : Csaba D. Toth
ISBN : 9781351645911
Genre : Computers
File Size : 61. 97 MB
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The Handbook of Discrete and Computational Geometry is intended as a reference book fully accessible to nonspecialists as well as specialists, covering all major aspects of both fields. The book offers the most important results and methods in discrete and computational geometry to those who use them in their work, both in the academic world—as researchers in mathematics and computer science—and in the professional world—as practitioners in ?elds as diverse as operations research, molecular biology, and robotics. Discrete geometry has contributed signi?cantly to the growth of discrete mathematics in recent years. This has been fueled partly by the advent of powerful computers and by the recent explosion of activity in the relatively young ?eld of computational geometry. This synthesis between discrete and computational geometry lies at the heart of this Handbook. A growing list of application fields includes combinatorial optimization, computer-aided design, computer graphics, crystallography, data analysis, error-correcting codes, geographic information systems, motion planning, operations research, pattern recognition, robotics, solid modeling, and tomography.

The Best Writing On Mathematics 2016

Author : Mircea Pitici
ISBN : 9781400885602
Genre : Mathematics
File Size : 69. 36 MB
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This annual anthology brings together the year's finest mathematics writing from around the world. Featuring promising new voices alongside some of the foremost names in the field, The Best Writing on Mathematics 2016 makes available to a wide audience many articles not easily found anywhere else—and you don't need to be a mathematician to enjoy them. These writings offer surprising insights into the nature, meaning, and practice of mathematics today. They delve into the history, philosophy, teaching, and everyday occurrences of math, and take readers behind the scenes of today's hottest mathematical debates. Here Burkard Polster shows how to invent your own variants of the Spot It! card game, Steven Strogatz presents young Albert Einstein's proof of the Pythagorean Theorem, Joseph Dauben and Marjorie Senechal find a treasure trove of math in New York's Metropolitan Museum of Art, and Andrew Gelman explains why much scientific research based on statistical testing is spurious. In other essays, Brian Greene discusses the evolving assumptions of the physicists who developed the mathematical underpinnings of string theory, Jorge Almeida examines the misperceptions of people who attempt to predict lottery results, and Ian Stewart offers advice to authors who aspire to write successful math books for general readers. And there's much, much more. In addition to presenting the year's most memorable writings on mathematics, this must-have anthology includes a bibliography of other notable writings and an introduction by the editor, Mircea Pitici. This book belongs on the shelf of anyone interested in where math has taken us—and where it is headed.

Ger Vielecke Und Vielflache Th

Author : Max Bruckner
ISBN : 1371021996
Genre : History
File Size : 31. 99 MB
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Die Graphische Statik

Author : Karl Culmann
ISBN : STANFORD:36105020102351
Genre : Graphic statics
File Size : 46. 94 MB
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Die Kunst Der Architekturgestaltung Als Zusammenklang Von Form Raum Und Ordnung

Author : Frank Ching
ISBN : 3804304796
Genre :
File Size : 29. 7 MB
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Dioptrice

Author : Johannes Kepler
ISBN : 3406016480
Genre :
File Size : 50. 51 MB
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Geometrie Und Ihre Anwendungen In Kunst Natur Und Technik

Author : Georg Glaeser
ISBN : 9783642418525
Genre : Mathematics
File Size : 49. 1 MB
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Die „Geometrie und ihre Anwendungen“ ist für Personen geschrieben, die von relativ einfachen Problemen der ebenen Geometrie bis hin zu schwierigeren Aufgaben der Raumgeometrie Interesse an geometrischen Zusammenhängen haben. Ähnlich wie beim „mathematischen Werkzeugkasten“ stehen Anwendungen aus verschiedenen Disziplinen wie dem Ingenieurwesen, der Biologie, Physik, Astronomie, Geografie, Fotografie, Kunstgeschichte, ja sogar der Musik im Vordergrund. Die Anwendungsbeispiele veranschaulichen wichtige Begriffe der Geometrie wie Normalprojektion und Zentralprojektion, Krümmung von Kurven und Flächen, der Geometrie der Bewegung und sogar der Geometrie nichteuklidischer Räume. Stets hat die Raumvorstellung Vorrang. Das Buch kann daher auch von Personen ohne spezielle mathematische Vorbildung gelesen werden. Die 3. Auflage ist um gut 60 Seiten erweitert und enthält zahlreiche neue Anwendungen mit hochwertigen Grafiken.

Das Buch Der Universen

Author : John D. Barrow
ISBN : 9783593393377
Genre : Science
File Size : 53. 21 MB
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Jahrtausendelang war für uns Menschen das eigene Universum so unbegreiflich, dass der Gedanke an andere Welten unvorstellbar war. Erst die moderne Physik mit der Theorie der Multiversen schuf die Voraussetzung, andere, neue Universen zu beschreiben, wie sie nach den Gesetzen der Physik möglich sind. John Barrow zeigt uns die bislang entdeckten Lösungen für Einsteins Universumsgleichung in diesem faszinierenden Buch: rotierende und unberechenbare, sich aufblähende und schrumpfende, heiße und kalte, bucklige und glatte, flache Universen und solche mit einem Loch in der Mitte, Universen voller Leben und Universen, die plötzlich aufhören zu existieren. Eine spektakuläre Reise in die fantastischen Welten der modernen Kosmologie – und an die Grenzen unseres eigenen Vorstellungsvermögens.

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