The book "Manifolds, Sheaves, and Cohomology" offers a comprehensive introduction to fundamental techniques that are significant in nearly all areas of modern geometry, including algebraic geometry, complex geometry, and non-archimedean geometry. The author, Torsten Wedhorn, uses real and complex manifolds as accessible models to explain the concepts. Special attention is given to the distinction between local and global questions, which is central to understanding geometry. Furthermore, the cohomology theory of sheaves is introduced and illustrated with numerous examples that demonstrate the application of this theory in various contexts. This textbook is aimed at students and professionals who wish to engage with the foundations and applications of geometry.