Book review of: J. de Lucas and C. Sardón Muñoz, A guide to Lie systems with compatible geometric structures

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory (37-01) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to differential geometry (53-01) Differential geometric methods (tensors, connections, symplectic, Poisson, contact, Riemannian, nonholonomic, etc.) for problems in mechanics (70G45) Symmetries and conservation laws, reverse symmetries, invariant manifolds and their bifurcations, reduction for problems in Hamiltonian and Lagrangian mechanics (70H33) Symmetries, Lie group and Lie algebra methods for problems in mechanics (70G65) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37Jxx) Symplectic geometry, contact geometry (53Dxx) External book reviews (00A17) Dynamical system aspects of infinite-dimensional Hamiltonian and Lagrangian systems (37Kxx) Classical differential geometry (53Axx)