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Glimpses of algebra and geometry / Toth , Gabor

Public ISBD Titre : Glimpses of algebra and geometry Type de document : texte imprimé Auteurs : Toth , Gabor, Auteur Mention d'édition : 2 éd Editeur : Berlin : Springer-Verlag Année de publication : 2002 Collection : Undegraduate texts in mathematics Sous-collection : Readings in mathematics Importance : XXII-450 p. Présentation : ill. Format : 25 cm ISBN/ISSN/EAN : 978-0-387-95345-8 Note générale : Index Langues : Anglais (eng) Mots-clés : Algebra Geometry Index. décimale : 512 Algèbre Résumé : This new edition includes invaluable improvements throughout the text, including an in-depth treatment of root formulas, a detailed and complete classification of finite Möbius groups a la Klein, and a quick, direct, and modern approach to Felix Klein "Normalformsatz," the main result of his spectacular theory of icosahedron and his solution of the irreducible quintic in terms of hypergeometric functions. Gabor Toth is the Chair and Graduate Director of the Department of Mathematical Sciences at Rutgers University, Camden. His previous publications include Finite Mobius Groups, Spherical Minimal Immersions and Moduli (2001), Harmonic Maps and Minimal Immersion Through Representation Theory (1990) and Harmonic and Minimal Maps with Applications in Geometry and Physics (1984). Professor Toth main fields of interest involve the geometry of eigenmaps and spherical minimal immersions and the visualization of mathematics via computers. Note de contenu : - A Number is a multitude composed of units" (Euclid) - "..there are no irrational numbers at all" (Kronecker) - Rationality, Elliptic Curves and Fermat's Last Theorem. - Algebraic or Transcendential ? - Complex Arithmetic - Quadratic, Cubic, and Quartic Equations - Stereographic Projection - Proof of the Fundamental Theorem of Algebra - Symmetries of Regular Polygons - Discrete Subgroups of Iso(R2) - Möbius Geometry - Complex Linear Fractional Transformations - "Out of nothing I have created a new universe" (Bolyai) ... Glimpses of algebra and geometry [texte imprimé] / Toth , Gabor, Auteur  . -  2 éd . - Springer-Verlag, 2002 . - XXII-450 p. : ill. ; 25 cm. - (Undegraduate texts in mathematics. Readings in mathematics) . ISBN : 978-0-387-95345-8 Index Langues : Anglais (eng) Mots-clés : Algebra Geometry Index. décimale : 512 Algèbre Résumé : This new edition includes invaluable improvements throughout the text, including an in-depth treatment of root formulas, a detailed and complete classification of finite Möbius groups a la Klein, and a quick, direct, and modern approach to Felix Klein "Normalformsatz," the main result of his spectacular theory of icosahedron and his solution of the irreducible quintic in terms of hypergeometric functions. Gabor Toth is the Chair and Graduate Director of the Department of Mathematical Sciences at Rutgers University, Camden. His previous publications include Finite Mobius Groups, Spherical Minimal Immersions and Moduli (2001), Harmonic Maps and Minimal Immersion Through Representation Theory (1990) and Harmonic and Minimal Maps with Applications in Geometry and Physics (1984). Professor Toth main fields of interest involve the geometry of eigenmaps and spherical minimal immersions and the visualization of mathematics via computers. Note de contenu : - A Number is a multitude composed of units" (Euclid) - "..there are no irrational numbers at all" (Kronecker) - Rationality, Elliptic Curves and Fermat's Last Theorem. - Algebraic or Transcendential ? - Complex Arithmetic - Quadratic, Cubic, and Quartic Equations - Stereographic Projection - Proof of the Fundamental Theorem of Algebra - Symmetries of Regular Polygons - Discrete Subgroups of Iso(R2) - Möbius Geometry - Complex Linear Fractional Transformations - "Out of nothing I have created a new universe" (Bolyai) ...

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