New Trends on Analysis and Geometry in Metric Spaces: Levico Terme, Italy 2017

This book provides a comprehensive introduction to geometric measure theory, the calculus of variations, partial differential equations, and differential geometry, covering various topics and presented by leading experts in the field.

Format: Paperback / softback
Length: 308 pages
Publication date: 05 February 2022
Publisher: Springer Nature Switzerland AG

This comprehensive book offers a thorough exploration of four essential courses in geometric measure theory, the calculus of variations, partial differential equations, and differential geometry. Authored by renowned experts in their respective fields, the lectures presented herein adopt diverse approaches to research topics, all unified by a common underlying geometric structure, typically non-Riemannian. Specifically, the topics covered delve into the realm of differentiation and functions of bounded variation in metric spaces, Sobolev spaces, and differential geometry within the context of Carnot–Carathéodory spaces.

The foundation of this text is rooted in the lectures delivered during the 10th School on Analysis and Geometry in Metric Spaces, which took place in Levico Terme (TN), Italy, in collaboration with the University of Trento, Fondazione Bruno Kessler, and CIME, Italy. This school aimed to bring together scholars and researchers from various backgrounds, fostering a vibrant exchange of ideas and advancing the frontiers of knowledge in the field.

The book is designed to cater to both graduate students and established researchers, providing a comprehensive and in-depth understanding of the subjects covered. Each chapter is meticulously crafted to elucidate complex concepts, employing a clear and concise writing style that makes the material accessible to a wide audience. Numerous examples and exercises are included to reinforce the theoretical understanding and aid in practical application.

Furthermore, the book incorporates recent developments and advancements in the field, reflecting the latest research trends and breakthroughs. It serves as a valuable resource for scholars and researchers seeking to deepen their expertise in geometric measure theory, the calculus of variations, partial differential equations, and differential geometry.

In conclusion, this book is a testament to the power of collaboration and interdisciplinary research, showcasing the rich insights and advancements that can be achieved when experts from different fields come together. It is an indispensable tool for anyone interested in exploring the fascinating world of geometric measure theory, the calculus of variations, partial differential equations, and differential geometry.

Weight: 486g
Dimension: 235 x 155 (mm)
ISBN-13: 9783030841409
Edition number: 1st ed. 2022