Geometry and its Applications in Arts, Nature and Technology

Geometry and its Applications in Arts, Nature and Technology

Author: Georg Glaeser

Publisher: Springer Nature

Published: 2020-12-18

Total Pages: 694

ISBN-13: 3030613984

DOWNLOAD EBOOK

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.


Book Synopsis Geometry and its Applications in Arts, Nature and Technology by : Georg Glaeser

Download or read book Geometry and its Applications in Arts, Nature and Technology written by Georg Glaeser and published by Springer Nature. This book was released on 2020-12-18 with total page 694 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Geometry and Its Applications

Geometry and Its Applications

Author: Walter A. Meyer

Publisher: Elsevier

Published: 2006-02-21

Total Pages: 560

ISBN-13: 0080478034

DOWNLOAD EBOOK

Meyer's Geometry and Its Applications, Second Edition, combines traditional geometry with current ideas to present a modern approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry. The text integrates applications and examples throughout and includes historical notes in many chapters. The Second Edition of Geometry and Its Applications is a significant text for any college or university that focuses on geometry's usefulness in other disciplines. It is especially appropriate for engineering and science majors, as well as future mathematics teachers. Realistic applications integrated throughout the text, including (but not limited to): Symmetries of artistic patterns Physics Robotics Computer vision Computer graphics Stability of architectural structures Molecular biology Medicine Pattern recognition Historical notes included in many chapters


Book Synopsis Geometry and Its Applications by : Walter A. Meyer

Download or read book Geometry and Its Applications written by Walter A. Meyer and published by Elsevier. This book was released on 2006-02-21 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: Meyer's Geometry and Its Applications, Second Edition, combines traditional geometry with current ideas to present a modern approach that is grounded in real-world applications. It balances the deductive approach with discovery learning, and introduces axiomatic, Euclidean geometry, non-Euclidean geometry, and transformational geometry. The text integrates applications and examples throughout and includes historical notes in many chapters. The Second Edition of Geometry and Its Applications is a significant text for any college or university that focuses on geometry's usefulness in other disciplines. It is especially appropriate for engineering and science majors, as well as future mathematics teachers. Realistic applications integrated throughout the text, including (but not limited to): Symmetries of artistic patterns Physics Robotics Computer vision Computer graphics Stability of architectural structures Molecular biology Medicine Pattern recognition Historical notes included in many chapters

The Fractal Geometry of Nature

The Fractal Geometry of Nature

Author: Benoit Mandelbrot

Publisher: Echo Point Books & Media, LLC

Published: 2021-07-16

Total Pages: 0

ISBN-13: 9781648370410

DOWNLOAD EBOOK

Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot's unique style, and rich illustrations will inspire readers of all backgrounds.


Book Synopsis The Fractal Geometry of Nature by : Benoit Mandelbrot

Download or read book The Fractal Geometry of Nature written by Benoit Mandelbrot and published by Echo Point Books & Media, LLC. This book was released on 2021-07-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot's unique style, and rich illustrations will inspire readers of all backgrounds.

The Pattern Book: Fractals, Art And Nature

The Pattern Book: Fractals, Art And Nature

Author: Clifford A Pickover

Publisher: World Scientific

Published: 1995-06-09

Total Pages: 466

ISBN-13: 9814504033

DOWNLOAD EBOOK

This book will allow you to travel through time and space. To facilitate your journey, the editor has scoured the four corners of the earth in a quest for unusual people and their fascinating patterns. From Mozambique, to Asia, to many European countries, the contributors to The Pattern Book include world-famous cancer researchers, little-known artists and eclectirc computer programmers. Some of the patterns are ultramodern, while others are centuries old. Many of the patterns are drawn from the universe of mathematics. Computer recipes are scattered throughout.Although the emphasis is on computer-generated patterns, the book is informal and the intended audience spans several fields. The emphasis is on the fun that the true pattern lover finds in doing, rather than in reading about the doing! The book is organized into three main parts: Representing Nature (for those patterns which describe or show real physical phenomena, e.g., visualizations of protein motion, sea lilies, etc.), Mathematics and Symmetry (for those patterns which describe or show mathematical behavior, e.g. fractals), and Human Art (for those patterns which are artistic works of humans and made without the aid of a computer, e.g. Moslem tiling patterns.)


Book Synopsis The Pattern Book: Fractals, Art And Nature by : Clifford A Pickover

Download or read book The Pattern Book: Fractals, Art And Nature written by Clifford A Pickover and published by World Scientific. This book was released on 1995-06-09 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book will allow you to travel through time and space. To facilitate your journey, the editor has scoured the four corners of the earth in a quest for unusual people and their fascinating patterns. From Mozambique, to Asia, to many European countries, the contributors to The Pattern Book include world-famous cancer researchers, little-known artists and eclectirc computer programmers. Some of the patterns are ultramodern, while others are centuries old. Many of the patterns are drawn from the universe of mathematics. Computer recipes are scattered throughout.Although the emphasis is on computer-generated patterns, the book is informal and the intended audience spans several fields. The emphasis is on the fun that the true pattern lover finds in doing, rather than in reading about the doing! The book is organized into three main parts: Representing Nature (for those patterns which describe or show real physical phenomena, e.g., visualizations of protein motion, sea lilies, etc.), Mathematics and Symmetry (for those patterns which describe or show mathematical behavior, e.g. fractals), and Human Art (for those patterns which are artistic works of humans and made without the aid of a computer, e.g. Moslem tiling patterns.)

Geometry for the Artist

Geometry for the Artist

Author: Catherine A. Gorini

Publisher: CRC Press

Published: 2023-05-26

Total Pages: 255

ISBN-13: 100087639X

DOWNLOAD EBOOK

Geometry for the Artist is based on a course of the same name which started in the 1980s at Maharishi International University. It is aimed both at artists willing to dive deeper into geometry and at mathematicians open to learning about applications of mathematics in art. The book includes topics such as perspective, symmetry, topology, fractals, curves, surfaces, and more. A key part of the book’s approach is the analysis of art from a geometric point of view—looking at examples of how artists use each new topic. In addition, exercises encourage students to experiment in their own work with the new ideas presented in each chapter. This book is an exceptional resource for students in a general-education mathematics course or teacher-education geometry course, and since many assignments involve writing about art, this text is ideal for a writing-intensive course. Moreover, this book will be enjoyed by anyone with an interest in connections between mathematics and art. Features Abundant examples of artwork displayed in full color Suitable as a textbook for a general-education mathematics course or teacher-education geometry course Designed to be enjoyed by both artists and mathematicians


Book Synopsis Geometry for the Artist by : Catherine A. Gorini

Download or read book Geometry for the Artist written by Catherine A. Gorini and published by CRC Press. This book was released on 2023-05-26 with total page 255 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometry for the Artist is based on a course of the same name which started in the 1980s at Maharishi International University. It is aimed both at artists willing to dive deeper into geometry and at mathematicians open to learning about applications of mathematics in art. The book includes topics such as perspective, symmetry, topology, fractals, curves, surfaces, and more. A key part of the book’s approach is the analysis of art from a geometric point of view—looking at examples of how artists use each new topic. In addition, exercises encourage students to experiment in their own work with the new ideas presented in each chapter. This book is an exceptional resource for students in a general-education mathematics course or teacher-education geometry course, and since many assignments involve writing about art, this text is ideal for a writing-intensive course. Moreover, this book will be enjoyed by anyone with an interest in connections between mathematics and art. Features Abundant examples of artwork displayed in full color Suitable as a textbook for a general-education mathematics course or teacher-education geometry course Designed to be enjoyed by both artists and mathematicians

Experiencing Geometry, Physics, and Biology

Experiencing Geometry, Physics, and Biology

Author: Georg Glaeser

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2023-11-20

Total Pages: 248

ISBN-13: 3111365786

DOWNLOAD EBOOK

Geometrie, Physik und Biologie verstehen Das vorliegende Buch ist ein lehrreiches und reich bebildertes Sachbuch, das naturwissenschaftliche Inhalte auf anschauliche und verständliche Weise vermittelt. Anhand zahlreicher Beispiele erläutert es Themen aus Geometrie, Physik und Biologie und zeigt Gemeinsamkeiten zwischen den Disziplinen auf. Das Buch enthält rund 300 Links zu Videoanimationen; weiters steht eine frei zugängliche interaktive Software zur Verfügung, zur weiteren Vertiefung der Inhalte. Die Inhalte des Buches, die Videos und die Software wurden am Institut für Geometrie an der Universität für angewandte Kunst Wien entwickelt: Georg Glaeser forscht insbesondere zu interdisziplinären mathematischen und biologischen Fragestellungen und arbeitete viele Jahre gemeinsam mit Franz Gruber, einem Meister im Visualisieren komplexer Sachverhalte. Enthält Links zu rund 300 Videoanimationen, abrufbar über QR-Codes Kompakte, informative und leicht verständliche Erklärungen zu naturwissenschaftlichen Fragestellungen aus den Bereichen Geometrie, Physik und Biologie Mit zahlreichen Abbildungen und Illustrationen


Book Synopsis Experiencing Geometry, Physics, and Biology by : Georg Glaeser

Download or read book Experiencing Geometry, Physics, and Biology written by Georg Glaeser and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-11-20 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt: Geometrie, Physik und Biologie verstehen Das vorliegende Buch ist ein lehrreiches und reich bebildertes Sachbuch, das naturwissenschaftliche Inhalte auf anschauliche und verständliche Weise vermittelt. Anhand zahlreicher Beispiele erläutert es Themen aus Geometrie, Physik und Biologie und zeigt Gemeinsamkeiten zwischen den Disziplinen auf. Das Buch enthält rund 300 Links zu Videoanimationen; weiters steht eine frei zugängliche interaktive Software zur Verfügung, zur weiteren Vertiefung der Inhalte. Die Inhalte des Buches, die Videos und die Software wurden am Institut für Geometrie an der Universität für angewandte Kunst Wien entwickelt: Georg Glaeser forscht insbesondere zu interdisziplinären mathematischen und biologischen Fragestellungen und arbeitete viele Jahre gemeinsam mit Franz Gruber, einem Meister im Visualisieren komplexer Sachverhalte. Enthält Links zu rund 300 Videoanimationen, abrufbar über QR-Codes Kompakte, informative und leicht verständliche Erklärungen zu naturwissenschaftlichen Fragestellungen aus den Bereichen Geometrie, Physik und Biologie Mit zahlreichen Abbildungen und Illustrationen

Doors to Hidden Worlds

Doors to Hidden Worlds

Author: Alfred Vendl

Publisher: Walter de Gruyter GmbH & Co KG

Published: 2023-10-04

Total Pages: 416

ISBN-13: 3111250121

DOWNLOAD EBOOK

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


Book Synopsis Doors to Hidden Worlds by : Alfred Vendl

Download or read book Doors to Hidden Worlds written by Alfred Vendl and published by Walter de Gruyter GmbH & Co KG. This book was released on 2023-10-04 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Pi (π) in Nature, Art, and Culture

Pi (π) in Nature, Art, and Culture

Author: Marcel Danesi

Publisher: BRILL

Published: 2020-12-07

Total Pages: 144

ISBN-13: 9004433392

DOWNLOAD EBOOK

In Pi (π) in Nature, Art, and Culture Marcel Danesi investigates the manifestations of π in science, nature, symbolism, and culture, arguing that these are intrinsically intertwined.


Book Synopsis Pi (π) in Nature, Art, and Culture by : Marcel Danesi

Download or read book Pi (π) in Nature, Art, and Culture written by Marcel Danesi and published by BRILL. This book was released on 2020-12-07 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: In Pi (π) in Nature, Art, and Culture Marcel Danesi investigates the manifestations of π in science, nature, symbolism, and culture, arguing that these are intrinsically intertwined.

Nature and Numbers

Nature and Numbers

Author: Georg Glaeser

Publisher: Birkhäuser

Published: 2013-12-18

Total Pages: 376

ISBN-13: 3990436244

DOWNLOAD EBOOK

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.


Book Synopsis Nature and Numbers by : Georg Glaeser

Download or read book Nature and Numbers written by Georg Glaeser and published by Birkhäuser. This book was released on 2013-12-18 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Visual Language of Technique

The Visual Language of Technique

Author: Luigi Cocchiarella

Publisher: Springer

Published: 2015-03-14

Total Pages: 182

ISBN-13: 3319053507

DOWNLOAD EBOOK

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.


Book Synopsis The Visual Language of Technique by : Luigi Cocchiarella

Download or read book The Visual Language of Technique written by Luigi Cocchiarella and published by Springer. This book was released on 2015-03-14 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.