Geometry, symmetries and classical physics: a mosaic/ Manousos Markoutsakis

Includes bibliography and index

Part I: Geometric manifolds -- Part II: Mechanics and symmetry -- Part III: Symmetry groups and algebras -- Part IV: Classical fields -- Part V: Riemannian geometry -- Part VI: General relativity and symmetry -- Part VII: Appendices

This book provides advanced undergraduate physics and mathematics students with an accessible yet detailed understanding of the fundamentals of differential geometry and symmetries in classical physics. Readers, working through the book, will obtain a thorough understanding of symmetry principles and their application in mechanics, field theory, and general relativity, and in addition acquire the necessary calculational skills to tackle more sophisticated questions in theoretical physics.

Most of the topics covered in this book have previously only been scattered across many different sources of literature, therefore this is the first book to coherently present this treatment of topics in one comprehensive volume.