Introduction -- Foundatins of Quantitative Animal Breeding -- Foundations of Molecular Genetics -- Modelling in Animal Breeding -- Genotype x Environment Interactions -- Socially affected traits -- Beef Cattle Breeding -- Dairy Cattle Breeding -- Pig Breeding -- Poutry Breeding -- Sheep and Goat Breeding -- Horse Breeding -- Breeding in Developing Countries -- Breeding in an era of Gene Editing -- Animal Breeding Long-Term Challenges.