Mathematical Methods for Physics and Engineering

"Suitable for advanced undergraduate and graduate students, this new textbook contains an introduction to the mathematical concepts used in physics and engineering. The entire book is unique in that it draws upon applications from physics, rather than mathematical examples, to ensure students are fully equipped with the tools they need. This approach prepares the reader for advanced topics, such as quantum mechanics and general relativity, while offering examples, problems, and insights into classical physics. The book is also distinctive in the coverage it devotes to modelling, and to oft-neglected topics such as Green's functions."--Provided by publisher "This new textbook, suitable for advanced undergraduate and graduate students in physics and engineering, covers mathematical methods with an accessible and clear writing style. Mattias Blennow employs detailed worked examples (around 40 per chapter) to teach the topics in a truly "hands-on" manner, and includes in-depth discussions of a wide range of subjects. The book is unique in drawing upon applications from physics, rather than mathematical examples, to ensure students are fully equipped with the tools they need. The book is also distinctive in the coverage it devotes to modelling, and to oft-neglected topics such as Green's functions. More than 50 end-of-chapter problems are provided"-- Provided by publisher Tensors -- Partial differential equations and modelling -- Symmetries and group theory -- Function spaces -- Eigenfunction expansions -- Green's functions -- Variational calculus -- Calculus on manifolds -- Classical mechanics and field theory