Differential Geometry (UGC Edition 2026)
by Dr. H.K. Pathak · About the author →
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Useful for
University reach: A core paper at 13 of the 26 M.Sc mathematics departments we mapped across 14 states — including APSU Rewa, BHU Varanasi, University of Lucknow, GGV Bilaspur, University of Calcutta, University of Burdwan, Presidency University, Ranchi University and 5 more. An elective at 6 more.
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About this book
Differential Geometry (New UGC Edition 2026) by Dr. H.K. Pathak is restructured to directly follow the updated UGC NET Mathematics syllabus. Authored by Dr. H.K. Pathak — Ex-Professor and Former Head, School of Studies in Mathematics, Pt. Ravishankar Shukla University (PRSU), Raipur, with 3,400+ academic citations.
Written for Indian university students and UGC NET aspirants, with complete coverage of the classical and UGC NET differential geometry syllabus. Contains UGC NET previous-year questions, solved examples and practice problems in CSIR NET and IAS formats.
Topics covered
- Theory of Curves
- Curvature and Torsion
- Frenet-Serret Formulae
- Theory of Surfaces
- Fundamental Forms
- Shape Operator
- Geodesics
- Gaussian and Mean Curvature
- Minimal Surfaces
- Gauss-Bonnet Theorem
- UGC NET topics & previous-year questions
