Optimal Transportation Networks

"Optimal Transportation Networks" is a specialized book that deals with the mathematical modeling of transportation problems. It examines how to optimally transport a given quantity from one point to another, considering the structure of supply networks as the minimization of an energy functional. This structure can be observed in various real-world applications, including road traffic, drainage and irrigation systems, as well as electrical supply networks. The book provides mathematical proofs for various properties that have been empirically observed in transportation networks and discusses connections to previous models in geomorphology and telecommunications. It is aimed at professionals and students seeking a deeper understanding of the mathematical foundations and their applications in transportation theory.