The book "Wiener Chaos: Moments, Cumulants and Diagrams" offers a comprehensive examination of the concept of Wiener chaos, which generalizes the properties of orthogonal polynomials in an infinite-dimensional framework. It plays a crucial role in modern probability theory and finds applications in areas such as Malliavin calculus, stochastic differential equations, as well as probabilistic approximations and mathematical finance. The authors Giovanni Peccati and Murad Taqqu illuminate the combinatorial structures that arise from the study of chaotic random variables associated with infinitely divisible random measures. A particular focus is placed on the partitions of finite sets and the associated Möbius functions, which provide an ideal foundation for the graphical representations used to compute moments and cumulants. The book also includes an appendix with a computer implementation in MATHEMATICA that illustrates many of the formulas presented.