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Unlimited
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Can lend chapters, not whole ebooks
Title
Geometry and its applications in arts, nature and technology/ Georg Glaeser ; translation: Peter Calvache, George Campbell.
Edition
Second edition.
ISBN
9783030613983 (electronic book)
3030613984 (electronic book)
9783030613976
3030613976
3030613976
9783030613976
Published
Cham : Springer, [2020]
Copyright
©2020
Language
English
Description
1 online resource
Other Standard Identifiers
9783030613976
Call Number
QA440-699
Dewey Decimal Classification
516
Summary
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.
Access Note
Access limited to authorized users.
Available in Other Form
Print version: 3030613976
1 An idealized world made of simple elements
2 Projections and shadows: Reduction of the dimension
3 Polyhedra: multi-faced and multi-sided
4 Curved but simple
5 More about conic sections and developable surfaces
6 Prototypes
7 Further remarkable classes of surfaces
8 The endless variety of curved surfaces
9 Photographic image and individual perception
10 Kinematics: Geometry in motion
11 Spatial motions
12 A variety of filling patterns
13 The nature of geometry and the geometry of nature
14 More applications
A Geometrical freehand drawing
B Geometry and photography
Bibliography
Index.
