Chapter 1: Elementary properties
1.1 The multiplication table of a quasigroup
1.2 The Cayley table of a group
1.5 Transversals and complete mappings
1.6 Latin subsquares and subquasigroups
Chapter 2: Special types of latin square
2.1 Quasigroup identities and latin squares
2.2 Quasigroups of some special types and the concept of generalized associativity
2.3 Triple systems and quasigroups
2.4 Group-based latin squares and nuclei of loops
2.5 Transversals in group-based latin squares
Chapter 3: Partial latin squares and partial transversals
3.1 Latin rectangles and row latin squares
3.2 Critical sets and Sudoku puzzles
3.4 Incomplete latin squares and partial quasigroups
3.5 Partial transversals and generalized transversals
Chapter 4: Classification and enumeration of latin squares and latin rectangles
4.1 The autotopism group of a quasigroup
4.2 Classification of latin squares
4.3 History of the classification and enumeration of latin squares
4.4 Enumeration of latin rectangles
4.5 Enumeration of transversals
Chapter 5: The concept of orthogonality
5.1 Existence questions for incomplete sets of orthogonal latin squares
5.2 Complete sets of orthogonal latin squares and projective planes
5.3 Sets of MOLS of maximum and minimum size
5.4 Orthogonal quasigroups, groupoids and triple systems
5.5 Self-orthogonal and other parastrophic orthogonal latin squares and quasigroups
5.6 Orthogonality in other structures related to latin squares
Chapter 6: Connections between latin squares and magic squares
6.1 Diagonal (or magic) latin squares
6.2 Construction of magic squares with the aid of orthogonal latin squares
6.3 Additional results on magic squares
6.4 Room squares: their construction and uses
Chapter 7: Constructions of orthogonal latin squares which involve rearrangement of rows and columns
7.1 Generalized Bose construction: constructions based on abelian groups
7.2 The automorphism method of H.B. Mann
7.3 The construction of pairs of orthogonal latin squares of order ten
7.6 Left neofields and orthomorphisms of groups
Chapter 8: Connections with geometry and graph theory
8.2 Orthogonal latin squares, k-nets and introduction of co-ordinates
Chapter 9: Latin squares with particular properties
9.3 Diagonally cyclic latin squares and Parker squares
9.4 Non-cyclic latin squares with cyclic properties
Chapter 10: Alternative versions of orthogonality
10.1 Variants of orthogonality
10.2 Power sets of latin squares
Chapter 11: Miscellaneous topics
11.1 Orthogonal arrays and latin squares
11.2 The direct product and singular direct product of quasigroups
11.3 The Kézdy-Snevily conjecture
11.4 The chromatic number of a latin square