1.1 The Origins of Reconnection Theory
1.2 Magnetohydrodynamic Equations
1.3 Null Points and Current Sheets
1.4 The Concepts of Frozen Flux and Field-Line Motion
1.5 MHD Shock Waves
1.6 Classification of Two-Dimensional Reconnection
1.7 Relevance of MHD to Collisionless Systems
2. Current Sheet Formation
2.1 X-Point Collapse
2.2 Current Sheets in Potential Fields
2.3 Current Sheets in Force-Free and Magnetostatic Fields
2.4 Magnetic Relaxation
2.5 Self-Consistent Dynamic Time-Dependent Formation
2.6 Creation of Current Sheets along Separatrices by Shearing
2.7 Braiding by Random Footpoint Motions
2.8 Concluding Comment
3. Magnetic Annihilation
3.1 The Induction Equation
3.2 Stagnation-Point Flow Model
3.3 More General Stagnation-Point Flow Solutions
3.4 Other Time-Dependent Current Sheet Solutions
3.5 Reconnective Annihilation
4. Steady Reconnection: The Classical Solutions
4.1 Introduction
4.2 Sweet-Parker Mechanism
4.3 Petschek's Mechanism: Almost-Uniform, Potential Reconnection
4.4 Early Attempts to Generalise and Analyse Petschek's Mechanism
4.5 Compressibility
4.6 Structure of the Diffusion Region
5. Steady Reconnection: New Generation of Fast Regimes
5.1 Almost-Uniform Non-Potential Reconnection
5.2 Non-Uniform Reconnection
5.3 Linear (Super-Slow) Diffusion and Reconnection
5.4 Related Numerical Experiments
5.5 Conclusions
6. Unsteady Reconnection: The Tearing Mode
6.1 Introduction
6.2 The Tearing Mode Instability Analysis of Furth et al. (1963)
6.3 Modifications of the Basic Tearing Analysis
6.4 Instability of a Magnetic Flux Tube
6.5 Nonlinear Development of Tearing
8.1 Definition of Reconnection
8.2 Three-Dimensional Null Points
8.3 Local Bifurcations
8.4 Global Magnetic Topology
8.5 Magnetic Helicity
8.6 Reconnection at a Three-Dimensional Null Point
8.7 Quasi-Separatrix Layer Reconnection: Magnetic Flipping
8.8 Numerical Experiments
10.1 Dungey's Model of the Open Magnetosphere
10.2 Dayside Reconnection
10.3 Flux Transfer Events
10.4 Nightside Reconnection
10.5 Magnetospheric Substorms
10.6 Magnetospheres of Other Planets and of Comets