Physics and Math Notes by Jed Chapin

Questions and comments welcome: jed@islandnet.com

---

• Differential Geometry
  • Prologue
  • Table of Contents
  • Geodesics on an Egg Carton
  • Beautiful Geodesics video
  • Riemann Curvature Tensor     Motivational overview
    
    
  • Directory     All the chapters and other files.
  
  
• Electrodynamics
  • E&M and the Faraday Field Tensor F
  • Maxwell Stress Energy Tensor
  
  
• 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
    
    
  • 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.
    
    
  • Asymmetry of the Twin Paradox
    I think I read something like this once upon a time.