Front Cover; Modern Map Methods in Particle Beam Physics; Copyright Page; Contents; Chapter 1. Dynamics of Particles and Fields; 1.1 Beams and Beam Physics; 1.2 Differential Equations, Determinism, and Maps; 1.3 Lagrangian Systems; 1.4 Hamiltonian Systems; 1.5 Fields and Potentials; Chapter 2. Differential Algebraic Techniques; 2.1 Function Spaces and Their Algebras; 2.2 Taylor Differential Algebras; 2.3 Advanced Methods; Chapter 3. Fields; 3.1 Analytic Field Representation; 3.2 Practical Utilization of Field Information; Chapter 4. Maps: Properties; 4.1 Manipulations; 4.2 Symmetries

4.3 RepresentationsChapter 5. Maps: Calculation; 5.1 The Particle Optical Equations of Motion; 5.2 Equations of Motion for Spin; 5.3 Maps Determined by Algebraic Relations; Chapter 6. Imaging Systems; 6.1 Introduction; 6.2 Aberrations and their Correction; 6.3 Reconstructive Correction of Aberrations; 6.4 Aberration Correction via Repetitive Symmetry; Chapter 7. Repetitive Systems; 7.1 Linear Theory; 7.2 Parameter-Dependent Linear Theory; 7.3 Normal Forms; 7.4 Symplectic Tracking; References; Index