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This book covers new ground on Fibonacci sequences and the well-known Fibonacci numbers. It will appeal to research mathematicians wishing to advance the new ideas themselves, and to recreational mathematicians, who will enjoy the various visual approaches and the problems inherent in them. There is a continuing emphasis on diagrams, both geometric and combinatorial, which helps to tie disparate topics together, weaving around the unifying themes of the golden mean and various generalizations of the Fibonacci recurrence relation. Very little prior mathematical knowledge is assumed, other th
Fibonacci numbers. --- Fibonacci sequence --- Numbers, Fibonacci --- Sequence, Fibonacci --- Recurrent sequences (Mathematics) --- Number theory
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golden section --- Geometry --- geometry --- Art styles --- Architecture --- proportion --- design [discipline] --- Art --- composition [artistic arrangement] --- anno 1900-1999 --- tekenen --- gulden snede --- grafische vormgeving --- drawing techniques --- verhoudingen (kunst) --- Graphics industry --- graphic design --- Design --- Gulden snede --- Meetkunde ; kunst --- Art, Modern --- Composition (Art) --- Fibonacci numbers --- Golden section --- Proportion (Art) --- 7.013 --- 745 --- designproces --- verhoudingen --- 514 --- 7.012 --- 72.012/013 --- Fibonacci --- Fibonacci cijfers --- Industrieel en grafisch design ; vormanalyse --- Kunst en geometrie --- Proportieleer ; gulden snede ; gulden getal --- Vormanalyse ; proportie ; compositie --- Balance (Art) --- Rhythm (Art) --- Anatomy, Artistic --- Perspective --- Symmetry (Art) --- Divine proportion (Mathematics) --- Divine section (Mathematics) --- Extreme and mean ratio --- Golden cut --- Golden mean (Mathematics) --- Golden number (Ratio) --- Golden proportion --- Golden ratio --- Mean of Phidias --- Medial section --- Phi ratio --- Phidias, Mean of --- Geometry, Plane --- Ratio and proportion --- Fibonacci sequence --- Numbers, Fibonacci --- Sequence, Fibonacci --- Recurrent sequences (Mathematics) --- Affichistes (Group of artists) --- Fluxus (Group of artists) --- Modernism (Art) --- Schule der Neuen Prächtigkeit (Group of artists) --- Zero (Group of artists) --- ritme en verhoudingen in de kunst, vormleer --- CAD, design en industriële vormgeving --- Geometrie --- Meetkunde --- Compositie (kunst) --- Ontwerp (kunst) --- Gulden snede (kunst) --- Proportie (kunst) --- Architectonisch ontwerp --- Architectuurontwerp --- Gulden snede (architectuur) --- Ontwerp (architectuur) --- Proportie (architectuur) --- Kunst ; verhouding, vorm, ritme --- Rhythm --- Composition --- Lay-out --- Scale (Art)
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Aesthetics --- kunst --- kunsttheorie --- proporties --- gulden snede --- dodecaëders --- goddelijke proportie --- Pacioli Luca --- Plato --- Plutarchus --- esthetica --- Pythagoras --- renaissance --- romantiek --- Fibonacci --- 7.013 --- Geometry --- Golden section --- Divine proportion (Mathematics) --- Divine section (Mathematics) --- Extreme and mean ratio --- Golden cut --- Golden mean (Mathematics) --- Golden number (Ratio) --- Golden proportion --- Golden ratio --- Mean of Phidias --- Medial section --- Phi ratio --- Phidias, Mean of --- Geometry, Plane --- Ratio and proportion --- Mathematics --- Euclid's Elements --- #A9903A --- Theses --- Geometry. --- Golden section.
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De Gulden Snede is een verhouding die al twee en een half duizend jaar, sinds de Oude Grieken, een bijzondere plaats heeft in de wiskunde. Zo'n 800 jaar geleden ontdekte Fibonacci zijn beroemde rij. Het blijkt dat er vele, vaak verrassende, verbanden bestaan tussen de Gulden Snede en de rij van Fibonacci. De eerste helft van dit boekje behandelt de eigenschappen van deze verhouding en rij, en hun onderlinge relaties. De Gulden Snede en de rij van Fibonacci zijn niet alleen wiskundig fascinerend, maar ze duiken ook op de meest onverwachte plekken op. Zo zijn er toepassingen te vinden in de beeldende kunst, de architectuur en in de natuur. De tweede helft van dit boekje bevat 7 opdrachten, waarin deze toepassingen worden besproken en nader onderzocht kunnen worden. (Bron: covertekst)
510 --- Gulden snede. --- Didactics of secundary education --- geometrie --- algebra --- Didactics of mathematics --- Algebraic geometry --- wiskunde --- Gulden snede --- 51-7 --- meetkunde --- gulden snede --- kunst --- 485.3 --- 51 <075> --- Algebra --- Meetkunde --- Wiskunde --- 51-7 Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- Mathematical studies and methods in other sciences. Scientific mathematics. Actuarial mathematics. Biometrics. Econometrics etc. --- 51 <075> Mathematics--Schoolboeken --- Mathematics--Schoolboeken --- didactiek secundair onderwijs - wiskunde --- 505 --- 510.3 --- 510.30 --- Fibonacci --- Kunst --- Secundair onderwijs --- Filosofie der natuurwetenschappen --- Inleidingen - Hand- en leerboeken Wiskunde --- Schoolbooks - Didactic material --- (zie ook: realistische wiskunde)
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