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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. Features : mathematical methods are presented with a focus on their applications in physics ; covers a wide range of topics, from basic vector analysis to variational calculus and calculus on manifolds ; contains a chapter on the mathematical modelling of physical systems Includes an extensive number of examples using physics already familiar to students ; introduces students to the mathematics necessary for many advanced physics courses ; a solutions manual and figure slides are available upon qualifying course adoption.