Part 1. Introduction
1. Graph Products
2. Hypergraphs
3. Basic Properties of Hypergraph Products

Part 2. Cartesian Product
4. The Cartesian Product

Part 3. Direct Products
5. The Direct Product for T-uniform Hypergraphs
6. The Minimal Rank Preserving Direct Product
7. The Maximal Rank Preserving Direct Product
8. A Direct Product that does not preserve Rank

Part 4. Strong Products
9. The Normal Product
10. The Strong Product
11. Alternative Constructions Generalizing the Strong Graph Product

Part 5. Lexicographic and Costrong Products
12. The Lexicographic Product
13. Costrong Product

Part 6. Other Hypergraph Products
14. The Square Product
15. The Categorial Product

Part 7. Beyond Finite and Undirected Hypergraphs
16. Infinite Hypergraphs
17. Directed Hypergraphs
18. Summary