Overview
- Example-driven introduction to the broad field of geometry
- Hundreds of real-world applications
- Accessible to both lay and specialized readers
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Table of contents (14 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
“I liken this book to a fine museum providing a curated selection of exhibits that both informs and delights. … The book's most distinctive and attractive aspects-- its wealth of examples and illustrations--make it a good supplement for geometry courses, providing inspiration for projects and reports. … In summary, this book is a celebration of geometric form, and its cornucopia of examples an excellent resource for sharpening geometric reasoning and nurturing fascination with geometric form in all its guises.” (Jer-Chin Chuang, MAA Reviews, June 6, 2021)
Authors and Affiliations
About the author
Bibliographic Information
Book Title: Geometry and its Applications in Arts, Nature and Technology
Authors: Georg Glaeser
DOI: https://doi.org/10.1007/978-3-030-61398-3
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Nature Switzerland AG 2020
Softcover ISBN: 978-3-030-61397-6Published: 19 December 2020
eBook ISBN: 978-3-030-61398-3Published: 18 December 2020
Edition Number: 2
Number of Pages: XIV, 694
Additional Information: Originally published by Springer Wien New York, 2012
Topics: Geometry, Mathematics in Art and Architecture, Computer Graphics, Applications of Mathematics