To answer your unspoken question: Yes, Mittal and Agarwal is excellent for self-study if you have the physical copy. If you are stuck with a pirated, blurry scan, it is useless.
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Many advanced texts on Differential Geometry (such as those by Do Carmo or Spivak) can be intimidating for undergraduate students due to their high level of abstraction. Mittal and Agarwal, however, adopt a pedagogical approach that bridges the gap. The book introduces concepts with rigorous proofs but grounds them in concrete examples. It allows students to visualize the geometry while learning the analytical tools required to prove theorems. To answer your unspoken question: Yes, Mittal and
Or better yet: Use the search for the PDF as a starting point. Once you find it, open it, then immediately search for the free digital copies of or the legendary "Elementary Differential Geometry" by Andrew Pressley . Compare them. Mittal & Agarwal will teach you how to pass . Pressley will teach you how to think . The book introduces concepts with rigorous proofs but
: It explores curves in parametric form, detailing properties such as unit tangent vectors, curvature ( ), and torsion (