An Introduction to Differential Geometry - With the Use of Tensor Calculus

Focusing on the development of tensor calculus, this work expands on its application from cuclidean 3-space to Riemannian spaces of any dimension. It builds on earlier foundational concepts introduced in the author's previous book, enhancing the study of differential geometry of surfaces in 3-space. Key additions include the concept of parallelism as defined by Levi-Civita, enriching the mathematical framework and offering deeper insights into geometric properties and relationships.