Written for use in teaching and for self-study this book provides a comprehensive and pedagogical introduction to groups algebras geometry and topology. It assimilates modern applications of these concepts assuming only an advanced undergraduate preparation in physics. It provides a balanced view of group theory Lie algebras and topological concepts while emphasizing a broad range of modern applications such as Lorentz and Poincarâe invariance coherent states quantum phase transitions the quantum Hall effect topological matter and Chern numbers among many others. An example-based approach is adopted from the outset and the book includes worked examples and informational boxes to illustrate and expand on key concepts. 344 homework problemsare included with full solutions available to instructors and a subset of 172 of these problems have full solutions available to students--. Language: English