University of Utah § Department of Mathematics
    
Expository Lectures by Andrejs Treibergs
    

Picture of von Koch Curve illustrating self-similarity

USAC Lecture: Fractals, Self-Similarity and Hausdorff Dimension

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

Picture of Parallel Line Segments Illustrating Rey-Pastor-Santalo Theorem

USAC Lecture: Helly's Theorem with Applications in Combinatorial Geometry

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


Picture of Bottom half of Catenoid

USAC Lecture: Minimal Surfaces Nonparametric Theory

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


Picture of Curvilinear Triangle on a Surface

USAC Lecture: Geometry meets Analysis: Gauss Bonnet Theorem

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


Picture of Jensen's Inequality

USAC Lecture: Inequalities of Analysis

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


Deformation of Surface Patch

USAC Lecture: Mapping the Earth

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


Deformation of Surface Patch

USAC Lecture: Deforming Surfaces

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


Bricard Octahedron Flexing

USAC Lecture: Bending Polyhedra

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


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  6 - 18 - 14.