000947044 000__ 03446cam\a2200517Mi\4500 000947044 001__ 947044 000947044 005__ 20230306152649.0 000947044 006__ m\\\\\o\\d\\\\\\\\ 000947044 007__ cr\un\nnnunnun 000947044 008__ 201222s2020\\\\sz\a\\\\o\\\\\000\0\eng\d 000947044 020__ $$a9783030613983$$q(electronic book) 000947044 020__ $$a3030613984$$q(electronic book) 000947044 020__ $$z9783030613976 000947044 020__ $$z3030613976 000947044 020__ $$a3030613976 000947044 020__ $$a9783030613976 000947044 0243_ $$a9783030613976 000947044 035__ $$aSP(OCoLC)on1227892836 000947044 035__ $$aSP(OCoLC)1227892836 000947044 040__ $$aYDX$$beng$$cYDX$$dSFB$$dOCLCO$$dEBLCP 000947044 049__ $$aISEA 000947044 050_4 $$aQA440-699 000947044 08204 $$a516$$223 000947044 1001_ $$aGlaeser, Georg. 000947044 24000 $$aGeometrie und ihre Anwendungen in Kunst, Natur und Technik$$lEnglish 000947044 24510 $$aGeometry and its applications in arts, nature and technology/$$cGeorg Glaeser ; translation: Peter Calvache, George Campbell. 000947044 250__ $$aSecond edition. 000947044 264_1 $$aCham :$$bSpringer,$$c[2020] 000947044 264_4 $$c©2020 000947044 300__ $$a1 online resource 000947044 336__ $$atext$$btxt$$2rdacontent 000947044 337__ $$acomputer$$bc$$2rdamedia 000947044 338__ $$aonline resource$$bcr$$2rdacarrier 000947044 5050_ $$a1 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. 000947044 506__ $$aAccess limited to authorized users. 000947044 520__ $$aThis 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. 000947044 650_0 $$aGeometry. 000947044 650_0 $$aMathematics. 000947044 650_0 $$aComputer graphics. 000947044 650_0 $$aApplied mathematics. 000947044 650_0 $$aEngineering mathematics. 000947044 77608 $$iPrint version: $$z9783030613976$$z3030613976$$w(OCoLC)1204200667 000947044 852__ $$bebk 000947044 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-030-61398-3$$zOnline Access$$91397441.1 000947044 909CO $$ooai:library.usi.edu:947044$$pGLOBAL_SET 000947044 980__ $$aEBOOK 000947044 980__ $$aBIB 000947044 982__ $$aEbook 000947044 983__ $$aOnline 000947044 994__ $$a92$$bISE