東華大學圖書館 |

Language: English

Help

回圖書館首頁

手機版館藏查詢

Back

Switch To: Labeled | MARC Mode | ISBD

Geometry and its applications in art...

Glaeser, Georg.

Linked to FindBook

Google Book

Amazon

博客來

Geometry and its applications in arts, nature and technology

Record Type:	Electronic resources : Monograph/item
Title/Author:	Geometry and its applications in arts, nature and technology/ by Georg Glaeser.
Author:	Glaeser, Georg.
Published:	Cham :Springer International Publishing : : 2020.,
Description:	xiv, 694 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer Nature eBook
Subject:	Geometry. -
Online resource:	https://doi.org/10.1007/978-3-030-61398-3
ISBN:	9783030613983

Geometry and its applications in arts, nature and technology
Glaeser, Georg.

Geometry and its applications in arts, nature and technology[electronic resource] /by Georg Glaeser. - Second edition. - Cham :Springer International Publishing :2020. - xiv, 694 p. :ill., digital ;24 cm.

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.

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.

ISBN: 9783030613983

Standard No.: 10.1007/978-3-030-61398-3doiSubjects--Topical Terms:

517251
Geometry.

LC Class. No.: QA445

Dewey Class. No.: 516

Geometry and its applications in arts, nature and technology
LDR:02872nmm a2200349 a 4500 001 2257636
003 DE-He213
005 20210322163936.0
006 m d
007 cr nn 008maaau
008 220420s2020 sz s 0 eng d
020 $a 9783030613983 $q (electronic bk.)
020 $a 9783030613976 $q (paper)
024 7 $a 10.1007/978-3-030-61398-3 $2 doi
035 $a 978-3-030-61398-3
040 $a GP $c GP
041 1 $a eng $h ger
050 4 $a QA445
072 7 $a PBM $2 bicssc
072 7 $a MAT012000 $2 bisacsh
072 7 $a PBM $2 thema
082 0 4 $a 516 $2 23
090 $a QA445 $b .G543 2020
100 1 $a Glaeser, Georg. $3 815899
240 1 0 $a Geometrie und ihre Anwendungen in Kunst, Natur und Technik $l English
245 1 0 $a Geometry and its applications in arts, nature and technology $h [electronic resource] / $c by Georg Glaeser.
250 $a Second edition.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2020.
300 $a xiv, 694 p. : $b ill., digital ; $c 24 cm.
505 0 $a 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.
520 $a 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.
650 0 $a Geometry. $3 517251
650 0 $a Mathematics. $3 515831
650 0 $a Computer graphics. $3 517127
650 0 $a Engineering mathematics. $3 516847
650 2 4 $a Mathematics in Art and Architecture. $3 1566757
650 2 4 $a Computer Graphics. $3 892532
650 2 4 $a Applications of Mathematics. $3 890893
710 2 $a SpringerLink (Online service) $3 836513
773 0 $t Springer Nature eBook
856 4 0 $u https://doi.org/10.1007/978-3-030-61398-3
950 $a Mathematics and Statistics (SpringerNature-11649)