Lectures on Optimal Transport

This textbook textbook is for PhD or senior undergraduate students in mathematics with interests in analysis, calculus of variations, probability, and optimal transport. It covers classical theory and applications to geometric and functional inequalities, partial differential equations, and more.

Format: Paperback / softback
Length: 250 pages
Publication date: 24 July 2021
Publisher: Springer Nature Switzerland AG

This comprehensive textbook is specifically designed for advanced students in mathematics, particularly those with a strong interest in analysis, calculus of variations, probability, and optimal transport. Drawing from the extensive teaching experience of the first author at the esteemed Scuola Normale Superiore, this book has been meticulously crafted to provide a thorough and advanced understanding of these subjects.

The topics and tools covered in this textbook are chosen at a level that is both general and advanced, ensuring that students and scholars with diverse interests can benefit from it. After an extensive introduction to classical theory, the book delves into specific applications to geometric and functional inequalities, as well as partial differential equations.

The text is organized into clear and concise chapters, each accompanied by detailed explanations, examples, and exercises to reinforce the learning process. The authors have made a conscious effort to provide a balance between theoretical concepts and practical applications, making this textbook an invaluable resource for both undergraduate and graduate students in mathematics.

Whether you are a aspiring researcher or a professional seeking to expand your knowledge in these fields, this textbook is an essential guide that will help you deepen your understanding and excel in your academic pursuits.

Weight: 494g
Dimension: 155 x 234 x 16 (mm)
ISBN-13: 9783030721619
Edition number: 1st ed. 2021