- 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
Rezensionen / Stimmen
"The book is very clear and easy to read linearly . . The reader can also cement their understanding with exercises at the end of each chapter, and the book concludes with with an epilogue of worked problems which allow a deeper dive in various directions. . the book is also a great starting point for those with some training in mathematics or physics who wish to broaden their horizons." (Alastair Litterick, zbMATH 1514.20003, 2023)
Produkt-Info
Reihe
Auflage
Sprache
Verlagsort
Verlagsgruppe
Springer International Publishing
Zielgruppe
Editions-Typ
Illustrationen
29
29 s/w Abbildungen
XIX, 251 p. 29 illus.
Maße
Höhe: 235 mm
Breite: 155 mm
Dicke: 14 mm
Gewicht
ISBN-13
978-3-030-94359-2 (9783030943592)
DOI
10.1007/978-3-030-94360-8
Schweitzer Klassifikation
A former student of the École Normale Supérieure in Paris,
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 at the École Polytechnique (France). She has organized numerous conferences, and has held visiting positions and lectured on four continents.
The author of the 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 over 90 research articles in differential geometry, algebra and mathematical physics, and has 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).
Introduction.- 1. General Facts About Groups.- 2. Representations of Finite Groups.- 3. Representations of Compact Groups.- 4. Lie Groups and Lie Algebras.- 5. Lie Groups SU(2) and SO(3).- 6. Representations of SU(2) and SO(3).- 7. Spherical Harmonics.- 8. Representations of SU(3) and Quarks.- 9. Spin Groups and Spinors.- Problems and Solutions.- Endnote.- Bibliography.-Index.