000			a
999			_c32442 _d32442
008			230831b xxu||||| |||| 00| 0 eng d
020			_a9783030613976
082			_a516 _bGLA
100			_aGlaeser, Georg
245			_aGeometry and its applications in arts, nature and technology
250			_a2nd ed.
260			_bSpringer, _c2020 _aCham :
300			_ax, 698 p. ; _bill., (some color), _c25 cm
365			_b59.99 _cEUR _d94.90
504			_aIncludes bibliographical references and index.
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.
650			_aImage distortion
650			_aAxis of affinity
650			_aBase line
650			_aCircle
650			_aCurve normal
650			_aDevelopable surface
650			_aEllipse
650			_aFocal curve
650			_aHyperbolic plane
650			_aIntercept theorem
650			_aKepler equation
650			_aLens formula
650			_aRectifying developable
650			_aRotary table
650			_aSphere model
650			_aSurface degree
650			_aTangent distance
650			_aWater surface
650			_aFish eye view
650			_aScaling behavior
650			_aFractals
942			_2ddc _cBK