000			04650cam a2200469Ii 4500
988			_aEbook_one2one
999			_c96124 _d96124 _x1
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007			cr mnu|||unuuu
008			170605s2017 ne a ob 000 0 eng d
020			_a9462391513 _q(electronic bk.)
020			_a9789462391512 _q(electronic bk.)
020			_z9462391505 _q(hardcover)
020			_z9789462391505 _q(hardcover)
040			_aN$T _cN$T _dGW5XE _dN$T _dEBLCP _dUAB _dYDX _dAZU _dUPM _dNHM _dSTF _dIOG _dMERER _dESU _dOCLCQ _dCOO _dOCLCQ _dIDB _dJG0 _dMERUC _dES-MaUEC _bspa
050		4	_aQK640 _b.G545 2017 EB
066			_c(S
100	1		_aGielis, Johan, _eautor
245	1	4	_aThe geometrical beauty of plants _cJohan Gielis.
264		1	_a[Amsterdam] _bAtlantis Press _c[2017]
300			_a1 recurso en línea (xxv, 229 páginas) _bilustraciones (algunas a color)
336			_aTexto _btxt _2rdacontent
337			_aelectrónico _bc _2rdamedia
338			_arecurso electrónico _bcr _2rdacarrier
347			_atext file _bPDF
500			_aSpringerLink
504			_aIncluye referencias bibliográfincas
505	0		_6880-01 _aUniversal Natural Shapes -- Towards a Geometrical Theory of Morphogenesis -- -1,-2,-3 ..., Understand The Legacy -- Lamé Curves and Surfaces -- Gielis Curves, Surfaces and Transformations -- Pythagorean-Compact. -- Generalized Intrinsic and Extrinsic Lengths in Submanifolds -- (Meta)Harmony -- Natural Curature Conditions -- Bamboo Leaves and Tree Rings -- Snowflakes and Asclepiads -- The Pythagorean Theorem for the Third Millenium.
520	3		_aThis book focuses on the origin of the Gielis curves, surfaces and transformations in the plant sciences. It is shown how these transformations, as a generalization of the Pythagorean Theorem, play an essential role in plant morphology and development. New insights show how plants can be understood as developing mathematical equations, which opens the possibility of directly solving analytically any boundary value problems (stress, diffusion, vibration ...) . The book illustrates how form, development and evolution of plants unveil as a musical symphony. The reader will gain insight in how the methods are applicable in many divers scientific and technological fields.
588	0		_aOnline resource; title from digital title page (ProQuest Ebook Central, viewed August 9, 2017).
988			_aEBOOK, EBSPRINGER_2017D
650		7	_2embne _9138490 _aAnatomía vegetal
650		7	_2embne _aBotánica _9138492
856	4	0	_uhttps://go.openathens.net/redirector/universidadeuropea.es?url=http://link.springer.com/10.2991/978-94-6239-151-2 _zAcceso a este recurso digital (usuarios Universidad Europea de Madrid)
880	0		_6505-01/(S _aPreface; About the Book; Contents; List of Figures; List of Tables; Προτ́ᾰσις-Propositio; 1 Universal Natural Shapes; Conic Sections at the Core, Once More; 2 Towards a Geometrical Theory of Morphogenesis; Biology Versus Physics; Commensurability, Symmetry and Euclidean Geometry; Mathematical Theories Versus Theories of Everything; Quantities of O-Type; Quantities of M-Type for Natural Shapes; Objective Reality, Mathematics and the Mind's Eye; A New Pair of Glasses; Εκθεσις-Expositio; 3 −1, −2, −3 ..., Understand the Legacy; On Arithmetic and Geometric Means.
880	8		_6505-00/(S _aGeneralized Pythagorean TheoremsFrom Lamé to Gielis Curves; Superpolygons and Regular Polygons; Polygrams and Generic Symmetries; Gielis Transformations; Continuous Transformations; Invariance Properties of Supershapes; Gielis Surfaces and Volumes; Generalized Möbius-Listing Surfaces and Bodies; Analytic Representations or Transformations; Διορισμος́-Determinatio; 6 Pythagorean-Compact; A Zillion More; k-Type Curves and a Generalization of Fourier Series; Pythagorean Trees, L-Systems and Fractals; R-Functions and Supershapes; Complex Shapes and Self-intersections; R-Functions and Co-bordism.
880	8		_6505-00/(S _aShape Complexity and OligomialsAll Gielis Curves Are Equally Simple; Pythagorean-Compact and Pythagorean-Simple; 7 Generalized Intrinsic and Extrinsic Lengths in Submanifolds; Embedded and Immersed; Rigid and Semi-rigid Geometry; Lorentz Transformations and SRT; A Theorem of Gauss and a Remarkable Year; FRLM Geometry and FRLW Metrics; Representing Dimensions; Transformations in Euclidean Geometry; Unveiling the Secrets of Grandi Curves; Orthogonial Polynomials and Phyllotaxy in Plants; Κατασκευη-́Constructio; 8 (Meta)Harmony; Harmonic and Metaharmonic Solutions.
942			_2lcc _cLE
998			_b02/2018 _dz _e- _zSI