1.A Continuation Paradigm
2.Encapsulation
3.Construction
4.Toolbox Development
5.Task Embedding
6.Task Embedding
7.The Collocation Continuation Problem
8.Single-Segment Continuation Problems
9.Multisegment Continuation Problems
10.The Variational Collocation Problem
11.Covering Manifolds
12.Single-Dimensional Atlas Algorithms
13.Multidimensional Manifolds
14.Computational Domains
15.Special Points and Events
16.Atlas Events and Toolbox Integration
17.Event Handlers and Branch Switching
18.Pointwise Adaptation and Comoving Meshes
19.A Spectral Toolbox
20.Integrating Adaptation in Atlas Algorithms
21.Toolbox Projects