New Trends on Analysis and Geometry in Metric Spaces

Discover the groundbreaking insights in New Trends on Analysis and Geometry in Metric Spaces by Luigi Ambrosio, published by Springer Nature Switzerland AG in 2022. This first edition, spanning 308 pages, offers an in-depth exploration of four essential courses: geometric measure theory, calculus of variations, partial differential equations, and differential geometry.

Delve into advanced topics such as differentiation and functions of bounded variation in metric spaces, Sobolev spaces, and the intricacies of differential geometry within the Carnot–Carathéodory spaces. This book is an invaluable resource for mathematicians and researchers seeking to enhance their understanding of these complex subjects. Whether you are a student or a professional, Ambrosio's expertise provides a clear and comprehensive guide to the latest trends in analysis and geometry.