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Glimpses of Algebra and Geometry (Undergraduate Texts in Mathematics) - Hardcover

Buch 14 von 170: Undergraduate Texts in Mathematics

Toth, Gabor

 
9780387953458: Glimpses of Algebra and Geometry (Undergraduate Texts in Mathematics)
Hardcover
ISBN 10: 0387953450 ISBN 13: 9780387953458
Verlag: Springer, 2002

Inhaltsangabe

Glimpses of Algebra and Geometry is intended for a "Bridge Course" that facilitates the transition between undergraduate and graduate studies. This new edition includes innumerable improvements throughout the text, including an in-depth treatment of root formulas, a detailed and complete classification of finite Mobius groups a la Klein, and a quick, direct, and modern approach to Felix Klein's "Normalformsatz."

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Über die Autorin bzw. den Autor

Gabor Toth is Chair of the Department of Mathematical Sciences at Rutgers University, Camden. His research interests include harmonic maps and minimal immersions and convex geometry. He is the author of Glimpses of Algebra and Geometry, as well as Finite Möbius Groups, Spherical Minimal Immersions, and Moduli.

Von der hinteren Coverseite

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 viacomputers.

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Verlag
Springer
Erscheinungsdatum
2002
Sprache
Englisch
ISBN 10 
0387953450
ISBN 13 
9780387953458
Einband
Gebundene Ausgabe
Auflage
2
Anzahl der Seiten
472
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