"This book is suitable for advanced undergraduate and beginning graduate students in mathematical and theoretical physics. It includes numerous exercises and worked examples to test the reader's understanding of the various concepts, as well as extending the themes covered in th…
Presenting an introduction to the mathematics of modern physics for advanced undergraduate and graduate students, this textbook introduces the reader to modern mathematical thinking within a physics context. Topics covered include tensor algebra, differential geometry, typology,…
Sets and structures -- Groups -- Vector spaces -- Linear operators and matrices -- Inner product spaces -- Algebras -- Tensors -- Exterior algebra -- Special relativity -- Topology -- Measure theory and integration -- Distributions -- Hilbert spaces -- Quantum mechanics -- Diffe…
This book, first published in 2004, provides an introduction to the major mathematical structures used in physics today. It covers the concepts and techniques needed for topics such as group theory, Lie algebras, topology, Hilbert space and differential geometry. Important theor…
"This book is suitable for advanced undergraduate and beginning graduate students in mathematical and theoretical physics. It includes numerous exercises and worked examples to test the reader's understanding of the various concepts, as well as extending the themes covered in th…