Groups and Symmetry: Theory and Applications (Paperback)
1 Linear Transformations and Linear Groups.- 2 Group Actions on Sets.- 3 Sylow's Theorems and Applications.- 4 Simple Groups.- 5 Product of Groups.- 6 Normal Series.- 7 Free Groups and Presentations.- 8 Symmetry Groups of Geometric Objects.- 9 Platonic Solids.- 10 Frieze and Wallpaper Symmetry Groups.- 11 Representations and Characters of Groups.
BIJAN DAVVAZ is Professor at the Department of Mathematics, Yazd University, Iran. He earned his Ph.D. in Mathematics with a thesis on "Topics in Algebraic Hyperstructures" from Tarbiat Modarres University, Iran, and completed his M.Sc. in Mathematics from the University of Tehran, Iran. He also has served as Head of the Department of Mathematics (1998-2002), Chairman of the Faculty of Science (2004-2006), and Vice-President for Research (2006-2008) at Yazd University, Iran. His areas of interest include algebra, algebraic hyperstructures, rough sets and fuzzy logic. On the editorial boards for 25 mathematical journals, Prof. Davvaz has authored 6 books and over 600 research papers, especially on algebra, fuzzy logic, algebraic hyperstructures and their applications.