Group Theory: An Intuitive ApproachA thorough introduction to group theory, this (highly problem-oriented) book goes deeply into the subject to provide a fuller understanding than available anywhere else. The book aims at, not only teaching the material, but also helping to develop the skills needed by a researcher and teacher, possession of which will be highly advantageous in these very competitive times, particularly for those at the early, insecure, stages of their careers. And it is organized and written to serve as a reference to provide a quick introduction giving the essence and vocabulary useful for those who need only some slight knowledge, those just learning, as well as researchers, and especially for the latter it provides a grasp, and often material and perspective, not otherwise available. |
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Abelian group angles angular momentum antisymmetric atom automorphism axes axis basis vectors Baumslag and Chandler Check coefficients commutation relations complete conjugate consider coordinates cosets cyclic group defined determined diagonal dihedral groups dimension direct product eigenvalues equation equivalence classes examples factor groups finite group form a group frames functions give given group axioms group elements group operators group sec group table group theory Hamermesh 1962 Hamiltonian homomorphic identity integer invariant subgroup inverse irreducible representations isomorphic isospin labeled Lesokhin Lie algebra Lie groups linear mathematics matrix elements Mirman monomial multinomials multiplication nonzero normal subgroup objects orthogonal orthonormal parameters permutations physical Problem properties Prove quantum mechanics reader realization reducible regular representation representation matrices roots rotation group scalar sentations Show similarity transformation simple space spherical harmonics square statefunctions subalgebra subset symbols symmetric groups symmetry tableaux tation theorem tions transpositions unitary