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Geometry, Modern. --- Geometry, Modern --- Géométrie moderne --- 514.12 --- Euclidean and pseudo-Euclidean geometries. Analytic geometry --- 514.12 Euclidean and pseudo-Euclidean geometries. Analytic geometry --- Géométrie moderne --- #KVIV:BB --- Modern geometry --- Sphere --- Geometry

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This book follows Felix Klein’s proposal of studying geometry by looking at the symmetries (or rigid motions) of the space in question. In this way the classical geometries are studied: Euclidean, affine, elliptic, projective and hyperbolic. For simplicity the focus is on the two-dimensional case, which is already rich enough, though some aspects of the 3- or n-dimensional geometries are included. Once plane geometry is well understood, it is much easier to go into higher dimensions. The fundamental ideas of the classical geometries are presented in a clear and elementary way, making them accessible to a wide audience, and relating them to more advanced topics in modern geometry, such as manifolds, Lie groups, the Gaussian curvature, group actions, and foliations. The book appeals to, and develops, the geometric intuition of the reader. The only prerequisites are calculus, linear algebra and basic analytic geometry. After studying the material, the reader will have a good understanding of basic geometry as well as a clear picture of the relations of this beautiful subject to other branches of mathematics. This is supported by more than 100 carefully chosen illustrations and a large number of exercises. While mainly addressed to students at advanced undergraduate level, the text can be of interest to anyone wanting to learn classical geometry.

Geometry --- geometrie --- 514.11 --- 514.12 --- 514.12 Euclidean and pseudo-Euclidean geometries. Analytic geometry --- Euclidean and pseudo-Euclidean geometries. Analytic geometry --- 514.11 Elementary geometry, trigonometry, polygonometry --- Elementary geometry, trigonometry, polygonometry --- Mathematics --- Euclid's Elements --- Geometry. --- Mathematics. --- Math --- Science --- Mathematics, general.

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514.18 --- Curves on surfaces --- -514.12 --- 514.12 Euclidean and pseudo-Euclidean geometries. Analytic geometry --- Euclidean and pseudo-Euclidean geometries. Analytic geometry --- Surfaces, Curves on --- 514.18 Descriptive geometry --- Descriptive geometry --- Handbooks, manuals, etc --- 514.12 --- Handbooks, manuals, etc. --- Courbes planes --- Surfaces (mathématiques) --- Curves on surfaces - Handbooks, manuals, etc. --- Géométrie --- Mathematical surfaces --- Fonction continue --- Fonction discontinue

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History --- Geometry --- Geometry, Non-Euclidean --- -Geometry, Non-Euclidean --- -#WWIS:d.d. Prof. L. Bouckaert/ALTO --- 514.1 --- 514.12 --- Non-Euclidean geometry --- Parallels (Geometry) --- Mathematics --- Euclid's Elements --- General geometry --- Euclidean and pseudo-Euclidean geometries. Analytic geometry --- Foundations --- Geometry, Non-Euclidean. --- Geometry. --- History. --- 514.12 Euclidean and pseudo-Euclidean geometries. Analytic geometry --- 514.1 General geometry --- #WWIS:d.d. Prof. L. Bouckaert/ALTO --- Géométrie euclidienne --- Géométrie non-euclidienne. --- Géométrie hyperbolique --- Geometry, Hyperbolic --- Géometrie euclidienne --- Géometrie non-euclidienne --- Géometrie hyperbolique --- Geometry, Hyperbolic. --- Geometry - History --- Geometry, Non-Euclidean - History --- Histoire des mathematiques --- Geometrie

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architectuur --- architecture [discipline] --- Architecture --- anno 2000-2099 --- 72.039 --- 72:681.3 --- Architectuur ; 21ste eeuw ; 2000-2010 --- Architectuur ; ontwerpanalyse ; vormanalyse ; 21ste eeuw --- Architectuur en technologie --- Architectuur en wiskunde ; architectuur en wetenschap --- Architectuur ; stedenbouw ; digitale ontwerpen --- Architectuur ; non standard --- 72.012/013 --- 51 --- 72.01 --- architectonisch ontwerp --- architectuur 21e eeuw --- vormanalyse --- -Euclidean algorithm --- 514.12 --- 72.013 --- 721.01 --- Algorithm of Euclid --- Continued division --- Division, Continued --- Euclid algorithm --- Euclidian algorithm --- Euclid's algorithm --- Algorithms --- Number theory --- Architecture, Western (Western countries) --- Building design --- Buildings --- Construction --- Western architecture (Western countries) --- Art --- Building --- Architectuurgeschiedenis ; 2000 - 2050 --- Architectuur en computerwetenschappen --- Architectonisch ontwerp --- Architectuurontwerp --- Ontwerp (architectuur) --- Digitale architectuur --- CAAD --- Computer aided architectural design --- Mathematica --- Wiskunde --- architectuurtheorie, ontwerp, vormgeving --- Mathematical models --- Euclidean and pseudo-Euclidean geometries. Analytic geometry --- Vormgeving in de architectuur: proporties; afmetingen; harmonische systemen; principes van eenheid, orde, symmetrie --- Architectuurontwerpen. Bouwplannen. Bouwprojecten --- Hedendaagse architectuur. Bouwkunst sinds 1960 --- Design and construction --- 72.039 Hedendaagse architectuur. Bouwkunst sinds 1960 --- 721.01 Architectuurontwerpen. Bouwplannen. Bouwprojecten --- 72.013 Vormgeving in de architectuur: proporties; afmetingen; harmonische systemen; principes van eenheid, orde, symmetrie --- 514.12 Euclidean and pseudo-Euclidean geometries. Analytic geometry --- Architecture, Primitive