This book investigates the foundations of discrete differential geometry and its applications in mathematical physics. It presents a rigorous treatment of the subject, focusing on the discrete analogues of classical differential geometric concepts and their use in modeling physical phenomena. The text is structured to provide a comprehensive overview for graduate students and researchers in mathematics and physics, covering topics such as discrete curves and surfaces, discrete calculus, and discrete analogues of curvature.

The book is recognized as a foundational text in the field of discrete differential geometry. Its comprehensive coverage and rigorous mathematical treatment make it a valuable resource for advanced students and researchers. The text is noted for its clear exposition of complex topics and its focus on the interplay between geometry and physics. It serves as an essential reference for those working on the discrete modeling of continuous phenomena.