This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in
polynomial rings and their connections with other areas of mathematics such as combinatorics
electrical engineering topology geometry and homological algebra. Aimed toward advanced
undergraduate students and graduate students who have taken a basic course in abstract algebra
that includes polynomial rings and ideals this book serves as a core text for a course in
combinatorial commutative algebra or as preparation for more advanced courses in the area. The
text contains over 600 exercises to provide readers with a hands-on experience working with the
material the exercises include computations of specific examples and proofs of general
results. Readers will receive a firsthand introduction to the computer algebra system Macaulay2
with tutorials and exercises for most sections of the text preparing them for significant
computational work in the area. Connections to non-monomial areas of abstract algebra
electrical engineering combinatorics and other areas of mathematics are provided which give
the reader a sense of how these ideas reach into other areas.
