The purpose of the paper under review is to describe a method of studying symplectic submanifolds of Poisson manifolds by using the so-called symplectic ideals. Specifically, let \(N\) be a Poisson manifold. For every \(x\in N\) denote \({\mathfrak m}_x=\{f\in C^\infty(N)\mid f(x)=0\}\) and for every \(Q\subseteq C^\infty(N)\) set \({\mathcal V}(Q)=\{y\in N\mid(\forall f\in Q)\quad f(y)=0\}\). A symplectic ideal of \(C^\infty(N)\) is defined as a Poisson ideal \(P\) of the Poisson algebra \(C^\infty(N)\) (that is, an ideal of the Lie algebra \((C^\infty(N),\{\cdot,\cdot\})\)) for which there exists a point \(x\in N\) such that \(P\) is the largest Poisson ideal contained in \({\mathfrak m}_x\). In this case we denote \({\mathcal S}(P)={\mathcal V}(P)\setminus\left(\bigcup_Q{\mathcal V}(Q)\right)\), where the latter union extends over all symplectic ideals \(Q\) such that \(P\subset Q\) and \(Q\neq P\). The main theorem of the paper says that \({\mathcal S}(P)\) is a symplectic submanifold of \(N\) for every symplectic ideal \(P\), and the Poisson manifold \(N\) is the disjoint union of the symplectic submanifolds of this form. The paper concludes by a section including several specific examples that illustrate this theorem.