Algebraic number theory and Fermat's last theorem / Ian Stewart and David Tall.
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TextPublication details: Boca Raton: CRC Press, ©2016.Edition: 4th edDescription: xix, 322 p. : illustrations ; 24 cmISBN: - 9781498738392 (hbk. : acidfree paper)
- 512.74 23 St849
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 512.74 St849 (Browse shelf(Opens below)) | Available | 137305 |
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| 512.74 Si624 Certain number-theoretic episodes in algebra/ | 512.74 St849 Algebraic number theory and Fermat's last theorem | 512.74 St849 Algebraic number theory | 512.74 St849 Algebraic number theory and Fermat's last theorem / | 512.74 St849 Algebraic number theory and Fermat's last theorem/ | 512.74 St854 Algebraic function fields and codes | 512.74 St875 Algebraic numbers and diophantine approximation |
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
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.
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