This chapter provides an overview of the second edition of "Combinatorics and Commutative Algebra" by Richard P. Stanley, published by Birkhäuser. The book is part of the "Progress in Mathematics" series and covers topics in combinatorics and commutative algebra. The second edition includes a new chapter on the face ring of a simplicial complex, reflecting recent developments in the field. The author, Richard Stanley, a professor at MIT, has also added exercises from a course he taught at M.I.T. and updated the content to reflect recent advancements. The preface to the first edition explains that the notes are based on lectures given at the University of Stockholm in 1981, and they aim to provide an overview of combinatorial commutative algebra, including solutions to linear equations in nonnegative integers and the face ring of a simplicial complex. The author expresses gratitude to various individuals and institutions for their contributions and support.This chapter provides an overview of the second edition of "Combinatorics and Commutative Algebra" by Richard P. Stanley, published by Birkhäuser. The book is part of the "Progress in Mathematics" series and covers topics in combinatorics and commutative algebra. The second edition includes a new chapter on the face ring of a simplicial complex, reflecting recent developments in the field. The author, Richard Stanley, a professor at MIT, has also added exercises from a course he taught at M.I.T. and updated the content to reflect recent advancements. The preface to the first edition explains that the notes are based on lectures given at the University of Stockholm in 1981, and they aim to provide an overview of combinatorial commutative algebra, including solutions to linear equations in nonnegative integers and the face ring of a simplicial complex. The author expresses gratitude to various individuals and institutions for their contributions and support.