Ebook: Topics in Number Theory

1. Basic Properties of the Integers.- 2. Algebraic Methods.- 3. Representation of Integers by Forms.- 4. Algebraic Number Fields.- 5. Algebraic Curves.- 6. The Mordell-Weil Theorem.- 7. Computation of the Mordell-Weil Group.- 8. Equations over Finite Fields.- Appendix. Weierstrass Theory.- A.1. Review of Complex Analysis.- A.2. Elliptic Functions.- A.3. The Weierstrass Equation.- A.4. Addition Theorems.- A.5. Isomorphic Classes of Elliptic Curves.- A.6. Endomorphisms of an Elliptic Curve.- A.7. Points of Finite Order.- Some Great Number Theorists.