Part I: Algebraic methods1. Algebraic background2. Algebraic numbers3. Quadratic and cyclotomic fields4. Factorization into irreducibles5. IdealsPart II: Geometric methods6. Lattices7. Minkowski's theorem8. Geometric representation of algebraic numbers9. Class-group and class-numberPart III: Number-theoretic applications10. Computational methods11. Fermat's Last Theorem12. Dirichlet's Units TheoremAppendix: Quadratic Residues
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