Explore the intricacies of inverse problems in ordinary differential equations with this comprehensive hardcover book. Written by Jaume Llibre and Rafael Ramírez, this first edition delves into finding all ordinary differential equations that satisfy a given set of properties, utilizing the Nambu bracket as a central tool. The book applies these findings to various complex areas, including planar polynomial differential systems, the 16th Hilbert problem, constrained Lagrangian and Hamiltonian mechanical systems, and the integrability of constrained rigid bodies. It concludes with an analysis of nonholonomic mechanics and the inverse problem in vakonomic mechanics. This English-language publication features 266 pages with 1 b/w illustration and 8 color illustrations, offering a deep dive into advanced mathematical concepts. Product Summary: Inverse Problems in Ordinary Differential Equations and Applications, Hardcover, English, 266 pages, First Edition, ISBN 9783319263373, by Jaume Llibre and Rafael Ramírez, Published by Birkhäuser Cham.