Two weeks later Gauss replied, "I am very much obliged for your news concerning the Paris prize. But I confess that Fermat's Last Theorem as an isolated proposition has very little interest for me ...

The last eleven chapters cover Morse theory, index of vector fields, Poincaré duality, vector bundles, connections and curvature, Chern and Euler classes, Thom isomorphism, and the general ...

While the main topics are the classics of differential geometry - the definition and geometric meaning of Gaussian curvature, the Theorema Egregium, geodesics, and the Gauss–Bonnet Theorem - the ...