Groups and Symmetries (häftad)
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Häftad (Paperback / softback)
Antal sidor
2010 ed.
Springer-Verlag New York Inc.
Stephanie Frank Singer
10 schwarz-weiße Fotos 24 schwarz-weiße Abbildungen 14 schwarz-weiße Zeichnungen
23 Tables, black and white; 44 Illustrations, black and white; XVI, 196 p. 44 illus.
222 x 152 x 12 mm
317 g
Antal komponenter
1 Paperback / softback
Groups and Symmetries (häftad)

Groups and Symmetries

From Finite Groups to Lie Groups

Häftad Engelska, 2009-10-28
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- 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
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De som köpt den här boken har ofta också köpt Integrability of Nonlinear Systems av Yvette Kosmann-Schwarzbach, Basil Grammaticos, K M Tamizhmani (inbunden).

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From the reviews: "Groups and Symmetries is a short, concise book ... that provides an introduction to the subject of Lie Groups, Lie Algebras, their representations, and their uses in theoretical particle physics. ... Anyone interested in understanding the connection between quarks and representation theory is an expeditious fashion should read this book. ... at the end of each chapter, Groups and Symmetries has a helpful reference section that provides readers with historical comments and additional references to the topics covered." (Thomas R. Hagedorn, The Mathematical Association of America, April, 2010) "This book by Kosmann-Schwarzbach (Ecole Polytechnique, France) also starts with the basics but rapidly moves on to enrich group theory with notions from topology, analysis, and (multi) linear algebra. Surely one finds many monographs on Lie groups for students on the way to specializing. ... Summing Up: Recommended. Upper-division undergraduates, graduate students, and professionals." (D. V. Feldman, Choice, Vol. 47 (11), July, 2010) "This book gives a gentle introduction to the theory of group representations and its applications in quantum mechanics. ... This book is well written and is well suited for a course aimed at advanced undergraduates and early graduate students." (Aloysius Helminck, Mathematical Reviews, Issue 2011 g) "The author gives a very clear and comprehensible introduction to the representation theory of groups focussing in particular on Lie groups. ... A series of nine problems and solutions completes this well thought-out and well organized book, which can be recommended already to advanced undergraduates." (G. Kowol, Monatshefte fur Mathematik, Vol. 164 (2), October, 2011)

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Övrig information

A former student of the Ecole Normale Superieure, Yvette Kosmann-Schwarzbach holds a Doctorat d'Etat 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 Ecole 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.