Shop Amazon - Used Textbooks - Save up to 90%

Join Amazon Prime Music - The Only Music Streaming Service with Free 2-day Shipping - 30-day Free Trial

A First Course in Topology

"Let K be a field, and R = K[x_1, ..., x_n] a finitely generated K-algebra. Then R is a field implies R is algebraic over K."

"Let K be a field, and R = K[x_1, ..., x_n] a finitely generated K-algebra. Then R is a field implies R is algebraic over K."

Divisible Modules

"Let M be an R-module where R is a PID. We say that M is divisible if for each nonzero a in R, aM = M."

"Let M be a compact and orientable Riemannian manifold. Then, the number of linearly independent real harmonic forms of degree p is equal to the pth Betti number of M."