TY  - GEN
AU  - Stewart,Ian
AU  - Tall,David
TI  - Algebraic number theory and Fermat's last theorem
SN  - 9781032296272
U1  - 512.74 23rd
PY  - 2022///
CY  - Boca Raton
PB  - CRC Press
KW  - Mathematics
KW  - Algebraic Number Theory
KW  - Fermat's Last Theorem
N1  - Includes bibliography and index; Algebraic Methods -- 
 Algebraic background -- Algebraic numbers -- Quardratic and cyclotomic fields -- Factorization into irreducibles -- Ideals -- 
Geometric methods --   
  Lattices -- Minkowski's theorem -- Geometric representation of algebraic numbers -- Class-group and class number -- 
Number-theoretic applications -- 
  Computational methods -- Kummer's special case of Fermat's last theorem -- The Path to the final breakthrough -- Elliptic curves -- Elliptic functions -- 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  -