Physical Mathematics II
Course description
This course is the second half of a one year introduction to physical mathematics. It aims to help you gain a physical understanding of the mathematics used in physics.
Problems
- Tensors answers
- Tensor algebra answers
- Topological tensor calculus answers
- Maxwell’s equations answers
- Densities and volumes answers
- Bases and coordinates answers
- Abstract index notation answers
- Metric answers
- Metric and volume form answers
- Curvature answers
- Christoffel symbols answers
- Calculus of variations answers
- Symmetry answers
Exam
Answers
Recommended books
-
- Title
- Geometrical Vectors
- Author
- Gabriel Weinreich
- Publisher
- University of Chicago Press (1998)
Highly recommended. Gives precise and intuitive topological pictures of antisymmetric tensors and their algebra and calculus in three dimensions. Note that the notation used in this book is a compromise between traditional three dimensional vector calculus and the more fundamental tensor notation used in this course.
-
- Title
- Geometry, Topology and Physics
- Author
- M. Nakahara
- Publisher
- Taylor & Francis (2003)
For further study after completing this course.