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Lie Groups, Differential Equations, and Geometry is written by Giovanni Falcone and published by Springer. It's available with International Standard Book Number or ISBN identification 3319621815 (ISBN 10) and 9783319621814 (ISBN 13).
This book collects a series of contributions addressing the various contexts in which the theory of Lie groups is applied. A preliminary chapter serves the reader both as a basic reference source and as an ongoing thread that runs through the subsequent chapters. From representation theory and Gerstenhaber algebras to control theory, from differential equations to Finsler geometry and Lepage manifolds, the book introduces young researchers in Mathematics to a wealth of different topics, encouraging a multidisciplinary approach to research. As such, it is suitable for students in doctoral courses, and will also benefit researchers who want to expand their field of interest.