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Het grote boek van de natuur, aldus Galileo Galilei kan alleen maar gelezen worden door degenen die de taal verstaan waarin het geschreven is, en die taal is de wiskunde. Dit boek is een rijk geïllustreerd eerbetoon aan de schoonheid en elegantie van deze zich steeds verder ontwikkelende taal. Het onderzoekt de talrijke manieren waarop de wiskunde ons helpt onze kijk op de werkelijkheid te verhelderen; zowel de fysische, biologische en sociale werkelijkheid om ons heen als de rijkdom aan ideeën en gedachten binnen ons brein. Dit is beslist geen leerboek. De auteur wil de essentie van de wiskunde overbrengen, zowel in haar wordingsgeschiedenis als in haar huidige, brede omvang. Het is dus geen boek dat u wiskunde probeert te leren maar een gevarieerde schets van een rijk en springlevend onderdeel van de menselijke cultuur. Het is voor een breed publiek bedoeld en veronderstelt geen wiskundige voorkennis of aanleg. De tekeningen en formules in dit boek zijn dan ook als toelichting bedoeld en niet als leerstof, laat staan bron van verwarring. Ze dienen tot beter inzicht. (wiskunde)
Mathematics --- 51 --- #WSCH:AAS2 --- wetenschappen --- wiskunde --- 510.2 --- Bewegen --- Positie --- Redeneren --- Symmetrie --- Wiskunde --- communicatie --- cultuur --- getallenleer --- symmetrie --- wetenschapsfilosofie --- Wiskunde: algemeen --- Geschiedenis der wiskunde - Wiskundigen --- 51 Mathematics --- wetenschapsgeschiedenis --- 520.5 --- 51 Wiskunde. Mathematiek --- Wiskunde. Mathematiek --- 510 --- mathématiques
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Uitgave over wiskundige patronen van sneeuwvlokken en kristallen tot fractalen en vreemde attractoren. Elk hoodstuk behandelt een ander patroonsysteem en de wiskunde die daaraan ten grondslag ligt. Ian Stewart, die zijn sporen heeft verdiend als popularisator van wiskunde, heeft opnieuw een prachtig boek geschreven dat eenvoud en helderheid paart aan grote didactische kwaliteit. Het is bovendien fraai vormgegeven, en aantrekkelijk in kleur geïllustreerd. Met index, literatuurlijst en verklarende woordenlijst.
toegepaste wiskunde --- Philosophy of nature --- Mathematics --- Géométrie --- Meetkunde --- Natuurpatronen --- Symmetrie ; natuurwetenschappen --- Wiskundige patronen --- 57.087 --- C3 --- C6 --- natuur --- positieve wetenschappen --- schoonheid (x) --- wiskunde (x) --- 507 --- natuurwetenschappen --- symmetrie --- wiskundige patronen --- 51 --- Natuurwetenschappen --- Wiskunde --- chaos --- wiskunde --- Natuurwetten --- Symmetrie --- 510.1 --- complexometrie --- fractal --- patroonherkenning --- spiegelsymmetrie --- Methods and techniques for parameter estimation. Recording of biological data --- Kunst en cultuur --- Opvoeding, onderwijs, wetenschap --- natuurwetenschappelijk onderzoek --- Natuurwetenschappelijk onderzoek ; algemeen --- Biomathematics. --- Symmetry. --- Mathematics in nature. --- Natural history. --- Pattern perception. --- 57.087 Methods and techniques for parameter estimation. Recording of biological data --- Didactics of mathematics --- fractalen --- 510 --- mathématiques
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For almost two decades, Sidney Coleman has been giving review lectures on frontier topics in theoretical high-energy physics at the International School of Subnuclear Physics held each year at Erice, Sicily. This volume is a collection of some of the best of these lectures. To this day they have few rivals for clarity of exposition and depth of insight. Although very popular when first published, many of the lectures have been difficult to obtain recently. Graduate students and professionals in high-energy physics will welcome this collection by a master of the field.
Symmetry (Physics) --- Physics. --- Natural philosophy --- Philosophy, Natural --- Physical sciences --- Dynamics --- Invariance principles (Physics) --- Symmetry (Chemistry) --- Conservation laws (Physics) --- Physics --- High energy particles --- Symmetry --- 539.12.01 --- Symétrie (Physique) --- Mathematical physics --- Particules élémentaires. Symétrie. --- Deeltjes [Kernfysica]. Symmetrie.
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As models and paradigms, patterns have been helping to orient architects since the Middle Ages. But patterns are also the basis of the history of ornament, an aesthetic phenomenon that links all times and cultures at a fundamental level. Ornament - and hence pattern as well - was abolished by the avant-garde in the first half of the twentieth century, but the notion of pattern has taken on new meaning and importance since the 1960's. Complexity research has ultimately shown that even highly complex, dynamic patterns may be based on simple behavioral rules, and that has allowed the notions of pattern and pattern formation to take on new meanings, that are also central for architecture. Today the use of generative computerized methods is opening up new ways of talking about an idea that is becoming increasingly abstract and dynamic. Pattern explores the question: what are the notions of pattern that must be discussed in the context of contemporary architecture? Complex patterns are founded on simple rules. Pattern and pattern formation are of new, important significance as the fundamental principles of systematization and description of very complex processes and phenomena. Which idea of pattern has to be used in the architectural discourse today?
Repetitive patterns (Decorative arts) --- Architecture --- Motifs (Art décoratif) --- Philosophy. --- Philosophie --- 72.01 --- 72.04 --- Patronen (architectuur) --- 72.013 --- 72:681.3 --- 7.013 --- Architectuur ; ornamentiek ; patronen ; 21ste eeuw --- Architectuurtheorie --- Architectuur (theorie) --- Ornamenten (architectuur) --- Architectuur ; proportie, symmetrie, harmonie --- Architectuur ; theorie, filosofie, esthetica --- Architectuur en computerwetenschappen --- Kunst ; verhouding, vorm, ritme, symmetrie --- Architecture. --- Repetitive patterns (Decorative arts). --- Motifs (Art décoratif) --- Repeat patterns (Decorative arts) --- Architecture, Western (Western countries) --- Building design --- Buildings --- Construction --- Western architecture (Western countries) --- Design and construction --- Decoration and ornament --- Pattern perception --- Art --- Building --- Philosophy --- Architecture, Primitive
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Galois, Evariste --- Groepen (wiskunde) --- Symmetrie --- Natuurwetenschappen --- Wiskundigen --- Geschiedenis --- 19e eeuw --- #GGSB: Wetenschap --- wetenschappen --- biografieën --- 510.2 --- Biografieën --- Galois --- 5 <092> --- 5 <092> Wiskunde. Natuurwetenschappen--Biografieën --- Wiskunde. Natuurwetenschappen--Biografieën --- Geschiedenis der wiskunde - Wiskundigen --- Galois, Évariste --- Groepentheorie (wiskunde) --- Wiskundige --- Geneeskunde --- Techniek (wetenschap) --- Atlas --- Museum --- Onderzoek (wetenschap) --- Wetenschap
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2004
wiskunde --- 510.3 --- exacte wetenschappen --- functies --- goniometrie --- grafieken --- rekenen --- statistiek --- vergelijkingen --- 485.3 --- Breuken --- Cirkel --- Driehoeken --- Functies --- Gelijkvormigheid --- Goniometrie --- Grafen --- Grafieken --- Hoeken --- Inhoud --- Kansrekenen --- Logaritmen --- Machten --- Meetkunde --- Negatieve getallen --- Omtrek --- Ongelijkheden --- Oppervlakte --- Procenten --- Pythagoras --- Rekenen --- Schaalrekenen --- Snijpunten --- Statistiek --- Stelling van Thales --- Symmetrie --- Vergelijkingen --- Vierhoeken --- Wiskunde --- Wortels --- Wiskunde ; secundair onderwijs --- Wiskunde: handboek secundair onderwijs --- Inleidingen - hand- en leerboeken (wiskunde) --- (zie ook: realistische wiskunde)
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"Approximate and Renormgroup Symmetries" deals with approximate transformation groups, symmetries of integro-differential equations and renormgroup symmetries. It includes a concise and self-contained introduction to basic concepts and methods of Lie group analysis, and provides an easy-to-follow introduction to the theory of approximate transformation groups and symmetries of integro-differential equations. The book is designed for specialists in nonlinear physics - mathematicians and non-mathematicians - interested in methods of applied group analysis for investigating nonlinear problems in physical science and engineering. Dr. N.H. Ibragimov is a professor at the Department of Mathematics and Science, Research Centre ALGA, Sweden. He is widely regarded as one of the world's foremost experts in the field of symmetry analysis of differential equations; Dr. V. F. Kovalev is a leading scientist at the Institute for Mathematical Modeling, Russian Academy of Science, Moscow.
Differential equations. --- Lie groups. --- Lie-Gruppe -- Renormierungsgruppe -- Integrodifferentialgleichung -- Symmetrie. --- Renormalization group. --- Symmetry (Mathematics). --- Differential equations --- Lie groups --- Symmetry (Mathematics) --- Renormalization group --- Mathematics --- Calculus --- Physical Sciences & Mathematics --- Invariance (Mathematics) --- Groups, Lie --- 517.91 Differential equations --- Mathematics. --- Applied mathematics. --- Engineering mathematics. --- Applications of Mathematics. --- Engineering --- Engineering analysis --- Mathematical analysis --- Math --- Science --- Group theory --- Automorphisms --- Lie algebras --- Symmetric spaces --- Topological groups
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Wiskunde geschiedenis --- Wiskunde : maatschappelijke relevantie --- 511 --- 510 --- 51-73 --- Architectuur ; in de natuur ; zuinigheidsbeginsel --- Architectuur en wiskunde ; architectuur en wetenschap --- Wiskunde ; variatierekening ; optimale vormberekening --- Mathematics--?-73 --- Architectuur ; proportie, symmetrie, harmonie --- Architectonische vormgeving --- Natuurlijke vormen --- out of print --- Architectonische vormgeving. --- Natuurlijke vormen. --- 51-73 Mathematics--?-73 --- Wiskunde ; geschiedenis --- natuur --- structuren --- 53 --- 54 --- $?$90/05 --- 72.013 --- Nature protection --- Science --- Mathematics
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A comprehensive discussion of group theory in the context of molecular and crystal symmetry, this book covers both point-group and space-group symmetries.Provides a comprehensive discussion of group theory in the context of molecular and crystal symmetryCovers both point-group and space-group symmetriesIncludes tutorial solutions
512.54 --- 548.12 --- Group theory --- Symmetry groups --- #WSCH:AAS2 --- Fysische chemie --- Symmetrie ; natuurwetenschappen --- Groups, Symmetry --- Symmetric groups --- Crystallography, Mathematical --- Quantum theory --- Representations of groups --- Groups, Theory of --- Substitutions (Mathematics) --- Algebra --- Groups. Group theory --- Theory of symmetry. Theory of original forms in general --- Chemistry --- Group theory. --- Symmetry (Physics) --- Mathematics. --- Symmetry (Physics). --- 548.12 Theory of symmetry. Theory of original forms in general --- 512.54 Groups. Group theory --- Invariance principles (Physics) --- Symmetry (Chemistry) --- Conservation laws (Physics) --- Physics --- Mathematics
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Deployable structures are structures that can undergo major changes to their configuration through expansion, unfolding and other means. In architecture, they can be used to create more flexible spaces or building elements that can adapt to changing functions or requirements. This book looks at the cutting edge of the subject, examining the different types of deployable structure, their materials and their properties. It also examines a variety of ways that such structures can be designed, drawing on natural processes and paper folding techniques. Deployable structures are structures that can undergo major changes to their configuration through expansion, unfolding and other means. In architecture, they can be used to create more flexible spaces or building elements that can adapt to changing functions or requirements. This book looks at the cutting edge of the subject, examining the different types of deployable structure, their materials and their properties. It also examines a variety of ways that such structures can be designed, drawing on natural processes and paper folding techniques. Filled with photographs, models, drawings and diagrams, the book is packed with inspirational ideas for architecture students and practitioners.
Flexible structures. --- Structures, Flexible --- Structural engineering --- Buildings --- Architectural design. --- Structural analysis (Engineering) --- 72.013 --- Opplooibare, inklapbare ; inschuifbare structuren --- Architectuur ; ontwerpen ; vanuit het plooien --- Architectural engineering --- Engineering, Architectural --- Structural mechanics --- Structures, Theory of --- Design --- Structural design --- Building joints --- Joints (Engineering) --- Joints. --- Architectuur ; proportie, symmetrie, harmonie --- Flexible structures --- Architectural design --- Joints --- Structures flexibles. --- Structures gonflables. --- Technique de la construction. --- Design architectural. --- Structures gonflables --- Technique de la construction --- Design architectural
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