//------------------------------//
// A Survey of Magical Fields and Attendant Mathematical Theory, Table of Contents (Interlude) 
// Story: Shears 
// by Antikythera 
//------------------------------//


A Survey of Magical Fields and Attendant Mathematical Theory, Sixth Edition
by Spectral Melody, Wavefront, and Pivot Point






Table of Contents

I    Introduction & Background Requirements
II   Changes from Fifth Edition
III  Suggested Reading Orders
IV  Notes on Spell Categorization

1             Animation (Force Magic)
1.1	    Kinematics
1.2	    Dynamics
1.3	    First- & Second- Order Differential Equations
1.4	    Isostatic Force
1.5	    Thrust & Impulse
1.6	    Telekinesis
1.7	    Harmonic Oscillatory Motion
1.8	    Higher-Order Differential Equations
1.9	    Calculus of Variations
1.10	  Coupled Oscillators
1.11	  Nonlinear Systems

2   Projection (Barrier Magic)
2.1	    Flat 2-Topes
2.2	    Flat 3-Topes
2.3	    (Approximately) Inelastic Collisions
2.4	    Hyperplane Arrangements & Region-Counting
2.5	    Curved Surfaces

3   Conjuration
3.1	    Lattice Theory
3.2	    Finite Distributive Lattices
3.3	    Solid Conjuration
3.4	    The Ideal Gas Law & Tracks-Well's Relations
3.5	    Gas Conjuration
3.6	    Fire Conjuration
3.7	    Fluid Dynamics
3.8	    Liquid Conjuration
3.9	    Other Conjurations

4   Vivification
4.1	    Integration of Surfaces
4.2	    Complex Analysis
4.3	    Thaumic Radiation (Electromagnetic & Magical)
4.4	    The Magic Spectrum
4.5	    MR Signatures
4.6	    Magic Flux
4.7	    EMR/MR Conversion
4.8	    Illumination Magic
4.9	    Magic Transference
4.10	  Magic Fountains & Batteries, Natural & Artificial

5   Illusion
5.1	    Plane Geometry
5.2	    Linear Algebra
5.3	    Visual Illusions
5.4	    Kernel Convolution
5.5	    Fourihay Series
5.6	    Fourihay Transformation
5.7	    Audio Illusions
5.8	    Other Illusions

6   Mutation (Infusion)
6.1	    Mutation Overview
6.2	    Spell Interaction
6.3	    Eigenvalues & Eigenspaces
6.4	    Simplicial Complices
6.5	    Suspension
6.6	    Smooth Deformations & Homeomorphisms
6.7	    Marked Hoof Chain Interpolation
6.8	    Alteration
6.9	    Infusion Interactions by Spell Type

7   Translocation (Space Magic)
7.1	    Discrete Calculus
7.2	    Nondifferentiable Symmetry Algebras
7.3	    Teleportation (Objects)
7.4	    Teleportation (Caster)
7.5	    Smooth Topologies
7.6	    Differentiable Symmetry Algebras
7.8	    Spatial Deformation & Expansion

8   Identification (Metrics)
8.1	    Information Theory
8.2	    Error Propagation
8.3	    Spatial Metrics
8.4	    Chronometry
8.5	    Spectrometry
8.6	    Material Composition Metrics
8.7	    Microstates, Macrostates, & Entropy
8.8	    Thermometry
8.9	    Magic Detection
8.10	  Theoretical Limits on Certainty

9   Abstraction (Metamagic)
9.1	    Spell Revision & Cancellation
9.2	    Intermediate Logic
9.3	    Sequencing
9.4	    Conditional Structures & Passive Metrics
9.5	    Subspells & Superspells
9.6	    Enumerative Combinatorics
9.7	    The Twelvefold Way
9.8	    Rooted Trees & Hierarchical Spell Composition

10   Uncategorized, Non-Reproducible, or Otherwise Anomalous Magic

11   Noteworthy Open Problems
11.1	    Materialism & the Physicality of Magic
11.2	    Horn Physiology
11.3	    Natural Magic Regeneration
11.4	    Corrections to Energy/Momentum Conservation
11.5	    Abjuration of Non-Magical Material
11.6	    Non-Commutative Spatial Deformation
11.7	    Divination
11.8	    Temporal Magic
11.9	    Non-Unicorn Magic

A   Closing Remarks, Credits, & Thanks
B   Bibliography
C   Index
D   List of Tables