Book contents
- Frontmatter
- Contents
- List of Symbols
- Acknowledgments
- 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
- References
- Index
- Plate Section
Frontmatter
Published online by Cambridge University Press: 05 February 2015
- Frontmatter
- Contents
- List of Symbols
- Acknowledgments
- 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
- References
- Index
- Plate Section
Summary
- Type
- Chapter
- Information
- Electricity and Magnetism for MathematiciansA Guided Path from Maxwell's Equations to Yang–Mills, pp. i - ivPublisher: Cambridge University PressPrint publication year: 2015