CatalogueM.Sc MathematicsDifferential Geometry (UGC Edition 2026)
Differential Equations & Geometry

Differential Geometry (UGC Edition 2026)

by Dr. H.K. Pathak

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University: Indian Universities For: UGC NET & M.Sc. Mathematics Edition: 2026 UGC Edition Binding: Paperback Language: English

Useful for

UGC NETCSIR NETGATE MathematicsIAS Mathematics OptionalState PCS

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.

See all universities by state
Madhya Pradesh: APSU Rewa
Uttar Pradesh: BHU Varanasi, University of Lucknow, CSJMU Kanpur (elective)
Chhattisgarh: GGV Bilaspur
West Bengal: University of Calcutta, University of Burdwan, Presidency University
Jharkhand: Ranchi University, BBMKU Dhanbad
Karnataka: University of Mysore
Maharashtra: SPPU Pune
Kerala: University of Kerala (elective), CUSAT Kochi (elective)
Odisha: Utkal University (elective)
Tamil Nadu: Bharathidasan University
Delhi: University of Delhi (elective)
Uttarakhand: HNB Garhwal (elective), Kumaun University
Preparing for CSIR-NET Mathematics?
See how our M.Sc range maps to the CSIR-NET syllabus, unit by unit →

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

Related tags

Differential GeometryUGC NET MathematicsCurves & SurfacesGeodesicsGauss-Bonnet