The first ten chapters study cohomology of open sets in Euclidean space, treat smooth manifolds and their cohomology and end with integration on manifolds. The last eleven chapters cover Morse theory, ...

There will be an introduction to spherical and hyperbolic geometry and triangle measurements will be computed for each. Calculus based derivations of area and volume for surfaces and solids will be ...

Optimal mass transport has emerged in the past three decades as an active field with wide-ranging connections to the calculus of variations ... By focusing on optimal mass transport problems in a ...

particularly with non-Euclidean configuration spaces. Most engineers have studied calculus and dynamics on real vector spaces, such as the plane R^2 or three-dimensional space R^3. However, the ...