This substantially revised & expanded new edition of the bestselling textbook addresses the difficulties that can arise with the mathematics that underpins the study of symmetry & acknowledges that group theory can be a complex concept for students to grasp. Written in a clear concise manner the author introduces a series of programmes that help students learn at their own pace & enable to them understand the subject fully. Readers are taken through a series of carefully constructed exercises designed to simplify the mathematics & give them a full understanding of how this relates to the chemistry. This second edition contains a new chapter on the projection operator method. This is used to calculate the form of the normal modes of vibration of a molecule & the normalised wave functions of hybrid orbitals or molecular orbitals. The features of this book include: aeo A concise gentle introduction to symmetry & group theory aeo Takes a programmed learning approach aeo New material on projection operators & the calcultaion of normal modes of vibration & normalised wave functions of orbitals This book is suitable for all students of chemistry taking a first course in symmetry & group theory.