This textbook explains the fundamental concepts and techniques of group theory by making use of language familiar to physicists. Application methods to physics are emphasized. New materials drawn from the teaching and research experience of the author are included. This book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry.

Contents:

• Review on Linear Algebras
• Group and Its Subsets
• Theory of Linear Representations of Groups
• Three-Dimensional Rotation Group
• Symmetry of Crystals
• Permutation Groups
• Lie Groups and Lie Algebras
• Unitary Groups
• Real Orthogonal Groups
• The Symplectic Groups