Hilbert's Tenth Problem: An Introduction to Logic, Number Theory, and Computability (Student Mathematical Library) (Student Mathematical Library, 88)

Some of Hilbert's problems remains unsolved, and some require formidable background and preparation to understand, say Murty and Fodden, but upper-level undergraduate mathematics students with just a basic introduction to elementary number theory and mathematical logic can understand the proof of his tenth problem. They discuss Cantor and infinity, axiomatic set theory, elementary number theory, computability and provability, Hilbert's tenth problem and applications of it, and Hilbert's tenth problem over number fields. Annotation ©2019 Ringgold, Inc., Portland, OR (protoview.com)