Glimpses of Algebra and Geometry:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New York, NY
Springer New York
2002
|
| Ausgabe: | Second Edition |
| Schriftenreihe: | Undergraduate Texts in Mathematics, Readings in Mathematics
|
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | The purpose of Glimpses of Algebra and Geometry is to fill a gap between undergraduate and graduate mathematics studies. It is one of the few undergraduate texts to explore the subtle and sometimes puzzling connections between Number Theory, Classical Geometry and Modern Algebra in a clear and easily understandable style. Over 160 computer-generated images, accessible to readers via the World Wide Web, facilitate an understanding of mathematical concepts and proofs even further. Glimpses also sheds light on some of the links between the first recorded intellectual attempts to solve ancient problems of Number Theory and Geometry and twentieth century mathematics. GLIMPSES will appeal to students who wish to learn modern mathematics, but have few prerequisite courses, and to high-school teachers who always had a keen interest in mathematics, but seldom the time to pursue background technicalities. Even postgraduate mathematicians will enjoy being able to browse through a number of mathematical disciplines in one sitting. 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 Kleins "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 Toths main fields of interest involve the geometry of eigenmaps and spherical minimal immersions and the visualization of mathematics via computers |
| Beschreibung: | 1 Online-Ressource (XXII, 450 p) |
| ISBN: | 9780387224558 9780387953458 |
| ISSN: | 0172-6056 |
| DOI: | 10.1007/b98964 |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/b98964 |
| edition | Second Edition |
| format | Electronic eBook |
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| spelling | Toth, Gabor Verfasser aut Glimpses of Algebra and Geometry by Gabor Toth Second Edition New York, NY Springer New York 2002 1 Online-Ressource (XXII, 450 p) txt rdacontent c rdamedia cr rdacarrier Undergraduate Texts in Mathematics, Readings in Mathematics 0172-6056 The purpose of Glimpses of Algebra and Geometry is to fill a gap between undergraduate and graduate mathematics studies. It is one of the few undergraduate texts to explore the subtle and sometimes puzzling connections between Number Theory, Classical Geometry and Modern Algebra in a clear and easily understandable style. Over 160 computer-generated images, accessible to readers via the World Wide Web, facilitate an understanding of mathematical concepts and proofs even further. Glimpses also sheds light on some of the links between the first recorded intellectual attempts to solve ancient problems of Number Theory and Geometry and twentieth century mathematics. GLIMPSES will appeal to students who wish to learn modern mathematics, but have few prerequisite courses, and to high-school teachers who always had a keen interest in mathematics, but seldom the time to pursue background technicalities. Even postgraduate mathematicians will enjoy being able to browse through a number of mathematical disciplines in one sitting. 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 Kleins "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 Toths main fields of interest involve the geometry of eigenmaps and spherical minimal immersions and the visualization of mathematics via computers Mathematics Global analysis (Mathematics) Geometry Number theory Analysis Number Theory Mathematik Algebra (DE-588)4001156-2 gnd rswk-swf Geometrie (DE-588)4020236-7 gnd rswk-swf 1\p (DE-588)4123623-3 Lehrbuch gnd-content Algebra (DE-588)4001156-2 s Geometrie (DE-588)4020236-7 s 2\p DE-604 https://doi.org/10.1007/b98964 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Toth, Gabor Glimpses of Algebra and Geometry Mathematics Global analysis (Mathematics) Geometry Number theory Analysis Number Theory Mathematik Algebra (DE-588)4001156-2 gnd Geometrie (DE-588)4020236-7 gnd |
| subject_GND | (DE-588)4001156-2 (DE-588)4020236-7 (DE-588)4123623-3 |
| title | Glimpses of Algebra and Geometry |
| title_auth | Glimpses of Algebra and Geometry |
| title_exact_search | Glimpses of Algebra and Geometry |
| title_full | Glimpses of Algebra and Geometry by Gabor Toth |
| title_fullStr | Glimpses of Algebra and Geometry by Gabor Toth |
| title_full_unstemmed | Glimpses of Algebra and Geometry by Gabor Toth |
| title_short | Glimpses of Algebra and Geometry |
| title_sort | glimpses of algebra and geometry |
| topic | Mathematics Global analysis (Mathematics) Geometry Number theory Analysis Number Theory Mathematik Algebra (DE-588)4001156-2 gnd Geometrie (DE-588)4020236-7 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Geometry Number theory Analysis Number Theory Mathematik Algebra Geometrie Lehrbuch |
| url | https://doi.org/10.1007/b98964 |
| work_keys_str_mv | AT tothgabor glimpsesofalgebraandgeometry |