Expository Lectures

University of Utah § Department of Mathematics

Expository Lectures by Andrejs Treibergs

$Generalized Cone$

USAC Lecture: Geometry of Bending

http://www.math.utah.edu/~treiberg/BendingSlides.pdf

$Pyramid from Face to Origin in Polyhedron$

USAC Lecture: Constructing Polyhedra

http://www.math.utah.edu/~treiberg/PolyhedraSlides.pdf

$Grim Reaper$

USAC Lecture: Heat Equation & Curvature Flow

http://www.math.utah.edu/~treiberg/CurvFlowSlides.pdf

$Elastic rings of equal length$

Applied Mathematics Lecture: Elastic Rings and Nanotubes

http://www.math.utah.edu/~treiberg/ElasticNano2010.pdf

$Arc of circle is shorter of two curves of equal area$

ERD Lecture on Calculus of Variations I: The Direct Method

http://www.math.utah.edu/~treiberg/DirectMethodSlides.pdf

$Stereographic Projection onto the Two Sphere$

ERD Lecture on Geometry of Surfaces I & II

http://www.math.utah.edu/~treiberg/ERD_1-22-2010.pdf

$Minkowski Linear Combination of Two Sets$

USAC Lecture on Mixed Area and the Isoperimetric Inequality.

http://www.math.utah.edu/~treiberg/MixedAreaSlides.pdf

$Counting eigenvalues of the flat torus$

GSAC Lecture on Heraring the Shape of a Manifold.

http://www.math.utah.edu/~treiberg/HearManifoldSlides.pdf

$Needle dropped onto floor with parallel cracks$

REU Lecture on Integral Geometry & Geometric Probability

http://www.math.utah.edu/~treiberg/IntGeomSlides.pdf

$Convex hulls of sets of ideal points of the poincare disk$

ERD Lecture on Intrinsic Geometry

http://www.math.utah.edu/~treiberg/IntrinsicSlides.pdf

$Steiner Symmetrization and Applications$

Steiner Symmetrization and Applications

http://www.math.utah.edu/~treiberg/Steiner/SteinerSlides.pdf

$The Stong Isoperimetric Inequality of Bonnesen$

The Stong Isoperimetric Inequality of Bonnesen

http://www.math.utah.edu/~treiberg/isoperim/Bonn.pdf

$The hyperbolic plane and its immersions into R3$

The Hyperbolic Plane and its Immersions into R³

http://www.math.utah.edu/~treiberg/Hilbert/Hilber.ps

Inequalities that imply the isoperimetric inequality.

The Geometry of Perspective Drawing on the Computer

Last updated 3-9-10.