Bennett Chow, University of California, San Diego, La Jolla, CA, and Yutze Chow, University of Wisconsin - Milwaukee, WI.

• Geometry of submanifolds of Euclidean spaceIntuitive introduction to submanifolds in Euclidean spaceDifferential calculus of submanifoldsLinearizing submanifolds: Tangent and tensor bundlesCurvature and the local geometry of submanifoldsGlobal theorems in the theory of submanifoldsDifferential topology and Riemannian geometrySmooth manifoldsRiemannian manifoldsDifferential forms and the method of moving frames on manifoldsThe Gauss-Bonnet and Poincare-Hopf theoremsBundles and the Chern-Gauss-Bonnet formulaElliptic and parabolic equations in geometric analysisLinear elliptic and parabolic equationsElliptic equations and the geometry of minimal surfacesGeometric flows of curves in the planeUniformization of surfaces via heat flowBibliographyIndex

Bennett Chow, University of California, San Diego, La Jolla, CA, and Yutze Chow, University of Wisconsin - Milwaukee, WI.

• Geometry of submanifolds of Euclidean spaceIntuitive introduction to submanifolds in Euclidean spaceDifferential calculus of submanifoldsLinearizing submanifolds: Tangent and tensor bundlesCurvature and the local geometry of submanifoldsGlobal theorems in the theory of submanifoldsDifferential topology and Riemannian geometrySmooth manifoldsRiemannian manifoldsDifferential forms and the method of moving frames on manifoldsThe Gauss-Bonnet and Poincare-Hopf theoremsBundles and the Chern-Gauss-Bonnet formulaElliptic and parabolic equations in geometric analysisLinear elliptic and parabolic equationsElliptic equations and the geometry of minimal surfacesGeometric flows of curves in the planeUniformization of surfaces via heat flowBibliographyIndex

Bennett Chow, University of California, San Diego, La Jolla, CA, and Yutze Chow, University of Wisconsin - Milwaukee, WI.

• Geometry of submanifolds of Euclidean spaceIntuitive introduction to submanifolds in Euclidean spaceDifferential calculus of submanifoldsLinearizing submanifolds: Tangent and tensor bundlesCurvature and the local geometry of submanifoldsGlobal theorems in the theory of submanifoldsDifferential topology and Riemannian geometrySmooth manifoldsRiemannian manifoldsDifferential forms and the method of moving frames on manifoldsThe Gauss-Bonnet and Poincare-Hopf theoremsBundles and the Chern-Gauss-Bonnet formulaElliptic and parabolic equations in geometric analysisLinear elliptic and parabolic equationsElliptic equations and the geometry of minimal surfacesGeometric flows of curves in the planeUniformization of surfaces via heat flowBibliographyIndex