ABSTRACT

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.

chapter 1|67 pages

Scalars and Vectors

chapter 2|58 pages

Tensors

chapter 4|68 pages

Symmetries and Group Theory

chapter 5|72 pages

Function Spaces

chapter 6|65 pages

Eigenfunction Expansions

chapter 7|68 pages

Green’s Functions

chapter 8|65 pages

Variational Calculus

chapter 9|68 pages

Calculus on Manifolds

chapter 10|88 pages

Classical Mechanics and Field Theory