TY  - BOOK
AU  - Stewart,Ian
AU  - Tall,David
TI  - Algebraic number theory and Fermat's last theorem
SN  - 9781498738392 (hbk. : acidfree paper)
U1  - 512.74 23
PY  - 2016///
CY  - Boca Raton: 
PB  - CRC Press, 
KW  - Algebraic number theory
KW  - Fermat's last theorem
N1  - Includes bibliographical references and index; 1. Algebraic background --
2. Algebraic numbers --
3. Quadratic and cyclotomic fields --
4. Factorization into irreducibles --
5. Ideals --
6. Lattices --
7. Minkowski's theorem --
8. Geometric representation of algebraic numbers --
9. Class-group and class-number --
10. Computational methods --
11. Kummer's special case of Fermat's last theorem --
12. The path to the final breakthrough --
13. Elliptic curves --
14. Elliptic functions --
15. Wiles's strategy and recent developments --
 Appendices. 
A. Quadratic residues ; 
B. Dirichlet's units theorem
N2  - This book introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics―the quest for a proof of Fermat’s Last Theorem. The authors use this celebrated theorem to motivate a general study of the theory of algebraic numbers from a relatively concrete point of view. Students will see how Wiles’s proof of Fermat’s Last Theorem opened many new areas for future work
ER  -