Description
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.
Table of Contents
Scalars and Vectors. Tensors. Partial Differential Equations and Modelling. Symmetries and Group Theory. Function Spaces. Eigenfunction Expansions. Green窶冱 Functions. Variational Calculus. Calculus on Manifolds. Classical Mechanics and Field Theory. Reference material. Summaries of Chapters.
