MATHEMATICS-V DIFFERENTIAL GEOMETRY & TENSOR ANALYSIS  (Paperback, K.P GUPTA, S.K. PUNDIR, BHUPANDER SINGH)

PART-A: DIFFERENTIAL GEOMETRY, 1. CURVES IN SPACE, 2. CONCEPT OF A SURFACE AND ENVELOPES AND DEVELOPABLE, 3. FUNDAMENTAL FORMS AND CURVATURE OF SURFACES, 4. LOCAL NON- INTRINSIC PROPERTIES OF A SURFACE, 5. GAUSS EQUATION, GAUSS COEFFICIENTS AND GEODESICS, PART-B: TENSOR ANALYSIS, 1. SOME PRELIMINARIES, 2. TENSOR ALGEBRA, 3. RIEMANNIAN METRIC, 4. CHRISTOFFEL SYMBOLS COVARIANT DIFFERENTION, 5. CURVATURE OF A CURVE GEODESICS, 6. CURVATURE TENSOR.