Differential Geometry: Manifolds, Curves, and Surfaces: Manifolds, Curves, and Surfaces (Graduate Texts in Mathematics, 115)

This comprehensive book on "Geometrie Differentielle" is a must-read for anyone interested in advanced mathematics, particularly in the fields of geometry and analysis.

With two distinct parts, the first offering a revised and expanded version of the original 1972 book, and the second addressing the notable omission of surfaces in three-space, this book provides a thorough understanding of the subject matter.

The author's innovative approach, influenced by a conversation with Serge Lang, emphasizes practical applications and examples to illustrate each new notion, making it accessible to both geometry-oriented students and analysis-oriented students alike.

Whether you are a seasoned mathematician or just starting your journey in this field, "Geometrie Differentielle" is an indispensable resource for anyone seeking to deepen their understanding of the subject.