Physics and Math Notes
by Jed Chapin
Questions and comments welcome:
jed@islandnet.com
- Differential Geometry
- Electrodynamics
- Miscellaneous
- Rotational Dynamics
This presentation of 3d rotations is based on the rigid-body chapter in Goldstein's "Classical Mechanics". I replaced ideas involving infinitesimal rotations with derivatives. There is some bumpy and exhausting math but I hope the reader gets a better understanding of tumbling objects. Possibly read Appendix K at the end for inspiration (or intimidation).
Really good rotations video
- Intuitive Gyroscope Precession
This is for physics educators at a high-school or first year university level. It describes my approach to developing students intuition of gyroscope precession.
- Electrodynamics and Special Relativity
This note is aimed at students with a high-school level understanding of special relativity. The message is that the relativistic effects on space and time are no more surprising than electromagnetism. I heard this somewhere but don't have a reference and don't know if it is true.
- Multilinear Algebra, Tensors and Wedge Products
Students should read this introductory material before studying differential geometry. This will help give meaning to more formal and general definitions.
- Probability and Measure
This is for math students who want to study probability and statistics. This will help bridge the gap between mathematical formalism and practical math.
- Role of Reason
This is more philosophical. I wrote this to help me understand why most human behavior is not based on reason.
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