The book "Combinatorial Algebraic Geometry" offers a comprehensive introduction to the recent developments in combinatorial algebraic geometry. It highlights the fruitful interaction between combinatorics and algebraic geometry that has existed since the nineteenth century. The authors, Aldo Conca and June Huh, present classical topics such as invariant theory, theta functions, and enumerative geometry, while also expanding these to include modern applications in areas like tensor calculus and algebraic statistics. A central focus of the book is the investigation of algebraic varieties equipped with a complex combinatorial structure. The techniques covered include polyhedral geometry, free resolutions, multilinear algebra, projective duality, and compactifications, making the book a valuable resource for students and professionals in mathematics.