"Foundations of Grothendieck Duality for Diagrams of Schemes" provides a comprehensive and accessible introduction to the abstract foundations of Grothendieck duality theory for schemes. Written by Joseph Lipman, the first part is aimed at intermediate-level students and covers central concepts such as the twisted inverse image and flat base change, partially without Noetherian hypotheses. The text places great emphasis on the formal relationships between derived functors and offers a detailed analysis of sheaf functors. The second part, authored by Mitsuyasu Hashimoto, extends the theory to diagrams of schemes and addresses special cases such as equivariant theory for schemes with group actions. This comprehensive presentation is significant for both students and researchers engaged with the profound aspects of algebraic geometry and its applications.