DIFFERENTIAL GEOMETRY AND ITS VISUALIZATION (HB 2024) Hardcover

"Differential Geometry and Its Visualization" is designed for graduate-level differential geometry courses, benefiting both students and instructors. It also serves as a valuable supplementary resource for research in mathematics, natural sciences, and engineering. Differential geometry uses mathematical analysis to explore geometric objects and their characteristics. The book begins with the traditional theory of curves and surfaces in three-dimensional Euclidean space in its first three chapters. The final two chapters delve into more abstract and modern subjects like tensor algebra, Riemannian spaces, and tensor analysis. To aid comprehension and develop a strong visual understanding of geometric shapes, their properties, and their relationships, the book incorporates numerous illustrative examples, visualizations, and original figures created using the authors' own software