Groups and Symmetries

From Finite Groups to Lie Groups
Buch | Softcover
196 Seiten
2009 | 2010 ed.
Springer-Verlag New York Inc.
978-0-387-78865-4 (ISBN)

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Groups and Symmetries - Yvette Kosmann-Schwarzbach
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Beginning with a review of the basic definitions and results of group theory, this volume illustrates definitions with examples important to the study of symmetry. With only linear algebra and calculus as prerequisites, this book will be widely accessible.
- Combines material from many areas of mathematics, including algebra, geometry, and analysis, so students see connections between these areas


- Applies material to physics so students appreciate the applications of abstract mathematics


- Assumes only linear algebra and calculus, making an advanced subject accessible to undergraduates


- Includes 142 exercises, many with hints or complete solutions, so text may be used in the classroom or for self study

A former student of the École Normale Supérieure, Yvette Kosmann-Schwarzbach holds a Doctorat d’État in mathematics as well as a degree in physics from the University of Paris. She has been a professor of mathematics at the University of Lille, at Brooklyn College of the City University of New York, and most recently at the École Polytechnique (France). She has organized numerous conferences, and has held visiting positions and lectured on four continents. The author of the forthcoming historical study, The Noether Theorems. Invariance and Conservation Laws in the Twentieth Century (Sources and Studies in the History of Mathematics and Physical Sciences), she has published some 70 research articles in differential geometry, algebra and mathematical physics, and has also co-edited The Verdier Memorial Conference on Integrable Systems (Progress in Mathematics), Integrability of Nonlinear Systems (Lecture Notes in Physics) and Discrete Integrable Systems (Lecture Notes in Physics).

General Facts About Groups.- Representations of Finite Groups.- Representations of Compact Groups.- Lie Groups and Lie Algebras.- Lie Groups SU(2) and SO(3).- Representations of SU(2) and SO(3).- Spherical Harmonics.- Representations of SU(3) and Quarks.

Erscheint lt. Verlag 28.10.2009
Reihe/Serie Universitext
Übersetzer Stephanie Frank Singer
Zusatzinfo 23 Tables, black and white; 44 Illustrations, black and white; XVI, 196 p. 44 illus.
Verlagsort New York, NY
Sprache englisch
Maße 155 x 235 mm
Gewicht 670 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Angewandte Mathematik
ISBN-10 0-387-78865-4 / 0387788654
ISBN-13 978-0-387-78865-4 / 9780387788654
Zustand Neuware
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