uwloo

AM 362Elementary Differential Geometry and Tensor Analysis Curves in Euclidean 3-Space (E3) and

Offered
Fall, Spring
Credit
0.5
Last listed
1988–89

No longer offered. It’s in Waterloo’s scanned calendars from 1976–77 to 1988–89; the 1995–96 to 2023–24 calendars are on ucalendar.

Curves in Euclidean 3-Space (E¥) and the Serret-Frenet formulae; surfaces in E9 and their intrinsic geometry. Gaussian — curvature and the Gauss-Bonnet theorem. Co-ordinate transformations and tensors in n-dimensions; n-dimensional Riemannian spaces; covariant differentiation; geodesics; the curvature, Ricci and Einstein tensors. Applications of tensors in Relativity and . Continuum Mechanics.

As printed in the 1977–78 to 1988–89 calendars, read by OCR; the scanned page is the original.

Requirements, as last listed

Prereq: MATH 2308 or consent of instructor

Cross-listed as PMATH 365

Check it elsewhere

    In the scanned calendars

    How it read in each calendar from 1976–77 to 1988–89, newest first. The text is OCR of the scanned pages; years whose wording matches are shown once, from the clearest scan. Each year links to its page on uwloo and to that page of the scanned PDF.

    1977–78 to 1988–89 11 calendars

    Curves in Euclidean 3-Space (E¥) and

    the Serret-Frenet formulae; surfaces in E9 and their intrinsic geometry. Gaussian — curvature and the Gauss-Bonnet theorem. Co-ordinate transformations and tensors in n-dimensions; n-dimensional Riemannian spaces; covariant differentiation; geodesics; the curvature, Ricci and Einstein tensors. Applications of tensors in Relativity and . Continuum Mechanics.

    Prereq: MATH 2308 or consent of instructor

    Cross-listed as PMATH 365

    Offered Fall, Spring · 3 class hours a week · 0.5 credit

    1976–77 1 calendar

    Titled Tensor Analysis.

    Elementary introduction to classical differential geometry and tensor analysis. Curves and surfaces in Euclidean spaces, coordinate transformation, invariance of length, introduction to tensors and Riemannian spaces, convariant differentiation, geodesics, curvature and Einstein tensors. Prerequisite: M 230 or consent of instructor.

    2 hours lectures, 1 hour tutorial. Fall term