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Beschreibung
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.
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.
Über den Autor

Georg Glaeser, professore di matematica e geometria presso l'Università di Arti Applicate di Vienna, è autore di numerosi libri su matematica, geometria e grafica computazionale, oltre a essere un appassionato fotografo naturalista. La sua ricerca si concentra sulla sintesi tra questioni matematiche e biologiche, un ambito in cui ha pubblicato numerosi lavori, tra cui tre libri editi da Springer-Verlag sull’evoluzione dell'occhio, del volo e delle macrostrutture biologiche, realizzati in collaborazione con rinomati biologi.

Daniel Abed-Navandi è vicedirettore e curatore della "Haus des Meeres" (Casa del Mare) di Vienna e docente di biologia marina presso il Dipartimento di Biologia Evoluzionistica dell'Università di Vienna.

Zusammenfassung

Example-driven introduction to the broad field of geometry

Hundreds of real-world applications

Accessible to both lay and specialized readers

Inhaltsverzeichnis

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.

Details
Erscheinungsjahr: 2020
Fachbereich: Geometrie
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: xiv
694 S.
ISBN-13: 9783030613976
ISBN-10: 3030613976
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Glaeser, Georg
Auflage: 2nd edition 2020
Hersteller: Springer
Springer International Publishing AG
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 240 x 168 x 36 mm
Von/Mit: Georg Glaeser
Erscheinungsdatum: 19.12.2020
Gewicht: 1,33 kg
Artikel-ID: 118949136