This monograph presents some theoretical and computational aspects of the parameterization method for invariant manifolds, focusing on the following contexts: invariant manifolds associated with fixed points, invariant tori in quasi-periodically forced systems, invariant tori in Hamiltonian systems and normally hyperbolic invariant manifolds. This book provides algorithms of computation and some practical details of their implementation. The methodology is illustrated with 12 detailed examples, many of them well known in the literature of numerical computation in dynamical systems. A public version of the software used for some of the examples is available online. The book is aimed at mathematicians, scientists and engineers interested in the theory and applications of computational dynamical systems.

This monograph presents some theoretical and computational aspects of the parameterization method for invariant manifolds, focusing on the following contexts: invariant manifolds associated with fixed points, invariant tori in quasi-periodically forced systems, invariant tori in Hamiltonian systems and normally hyperbolic invariant manifolds. This book provides algorithms of computation and some practical details of their implementation. The methodology is illustrated with 12 detailed examples, many of them well known in the literature of numerical computation in dynamical systems. A public version of the software used for some of the examples is available online. The book is aimed at mathematicians, scientists and engineers interested in the theory and applications of computational dynamical systems.

When Alejandro Luque receives a book of photographs taken in Sicily by the Argentinian writer, essayist, and poet Luis Borges, he decides to trace the writer's journey, setting off with a group of friends on his own Sicilian odyssey. Meticulously identifying the location of each photograph, Luque uses Borges's pictures to imagine the range of emotions that the renowned writer felt as he experienced the same views. As his hunt for the locations of the original photographs unfolds, Luque chronicles the ways in which he begins to fall in love with both the island itself and with his friend, Ro. This winding journey features literati both past and present, indigenous and foreign. These characters live alongside Luque's own comments and observations in a narrative that is rich in historical and personal detail. The writer who inspired this great journey, Borges himself, becomes a character in this narrative that is infused with extracts and reflections from his essays and poetry. Borges in Sicily acts as a travel diary, a guide to the most fascinating places in Sicily, a recounting of Borges's journey around the island, and a deeply poetic story of Luque's own adventures. The book also includes twenty-three photographs from the renowned Magnum photographer Ferdinando Scianna, and it won the 1st Premio International del Libros de Viajes.