Thomas A. Garrity is the William R. Kenan, Jr Professor of Mathematics at Williams College, where he was the director of the Williams College Project for Effective Teaching for many years. He has written a number of research papers and has authored or coauthored two other books, All the Mathematics You Missed (But Need to Know for Graduate School) and Algebraic Geometry: A Problem Solving Approach. Among his awards and honors is the MAA Deborah and Franklin Tepper Haimo Award for outstanding college or university teaching.
Inhaltsangabe
1. A brief history 2. Maxwell's equations 3. Electromagnetic waves 4. Special relativity 5. Mechanics and Maxwell's equations 6. Mechanics, Lagrangians, and the calculus of variations 7. Potentials 8. Lagrangians and electromagnetic forces 9. Differential forms 10. The Hodge * operator 11. The electromagnetic two-form 12. Some mathematics needed for quantum mechanics 13. Some quantum mechanical thinking 14. Quantum mechanics of harmonic oscillators 15. Quantizing Maxwell's equations 16. Manifolds 17. Vector bundles 18. Connections 19. Curvature 20. Maxwell via connections and curvature 21. The Lagrangian machine, Yang¿Mills, and other forces.
1. A brief history 2. Maxwell's equations 3. Electromagnetic waves 4. Special relativity 5. Mechanics and Maxwell's equations 6. Mechanics, Lagrangians, and the calculus of variations 7. Potentials 8. Lagrangians and electromagnetic forces 9. Differential forms 10. The Hodge * operator 11. The electromagnetic two-form 12. Some mathematics needed for quantum mechanics 13. Some quantum mechanical thinking 14. Quantum mechanics of harmonic oscillators 15. Quantizing Maxwell's equations 16. Manifolds 17. Vector bundles 18. Connections 19. Curvature 20. Maxwell via connections and curvature 21. The Lagrangian machine, Yang¿Mills, and other forces.
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