Selected Chapters in the Calculus of Variations

Discover the intriguing world of calculus with "Selected Chapters in the Calculus of Variations" by Jürgen Moser, published by Birkhauser Verlag AG in 2003. This insightful paperback spans 134 pages and delves into the nuances of variational problems, extremal fields, and minimal geodesics. Moser explores advanced topics like monotone twist maps and area-preserving annulus mappings, shedding light on their applications within mechanics as Poincaré maps. His groundbreaking research in 1982 led to the development of Mather sets, a significant advancement in the understanding of closed invariant subsets. Ideal for mathematics enthusiasts and professionals alike, this book provides a compelling combination of theory and applied mathematics, making it a valuable addition to any scholarly collection. Enhance your understanding of differential geometry and linear programming through Moser's expert insights in this must-read volume.