This landmark among mathematics texts applies group theory to quantum mechanics, first covering unitary geometry, quantum theory, groups and their representations, then applications themselves—rotation, Lorentz, permutation groups, symmetric permutation groups, and the algebra of symmetric transformations. Unabridged republication of the English (1931) edition.

本书是《princeton landmarks in mathematics》系列之一，是一部经典的教材。书中讨论了对称，全线性，正交和辛群，以及它们的不同的不变性和表示论，运用代数的基本观点阐释群的不同性质，恰到好处地运用分析和拓扑。书中也包括了矩阵代数，半群和交换子和自旋子，这些对于很好地理解量子力学的群理论结构很有帮助。目次：引入；向量不变量；矩阵代数和群环；对称群和完全线性群；正交群；对称群；特征；不变基本理论；矩阵代数综述；补充。
读者对象：数学专业的本科生，研究生和相关的科研人员。

Defines symmetry through a discussion of its many uses in a wide variety of fields both academic and natural.