Algebraic Number Theory, Second Edition (CHAPMAN HALL/CRC MATHEMATICS SERIES)

Contents: Preface. Reader's Guide. Index of Notation. The Origins of Algebraic Number Theory. Part I: Numbers. Quadratic and Cyclotomic Fields. Geometric Methods. Lattices. Minkowski's Theorem. Part II: Geometric Representation of Algebraic Numbers. Class-Group and Class-Number. Part III: Number-Theoretic Applications. Computational Methods. Fermat's Last Theorem. Dirichlet's Units Theorem. Appendix. Quadratic Residues. References. Index.

This work develops the theory of algebraic numbers and shows how this may be applied to various questions in number theory, including a special case of Fermat's Last Theorem.