A Brief Guide to Algebraic Number Theory (London Mathematical Society Student Texts)
Swinnerton-Dyer, H.P. F.
This account of Algebraic Number
Theory is written primarily for beginning graduate students in pure
mathematics, and encompasses everything that most such students are
likely to need; others who need the material will also find it
accessible. It assumes no prior knowledge of the subject, but a firm
basis in the theory of field extensions at an undergraduate level is
required, and an appendix covers other prerequisites. The book covers
the two basic methods of approaching Algebraic Number Theory, using
ideals and valuations, and includes material on the most usual kinds of
algebraic number field, the functional equation of the zeta function and
a substantial digression on the classical approach to Fermat's Last
Theorem, as well as a comprehensive account of class field theory. Many
exercises and an annotated reading list are also included.
Theory is written primarily for beginning graduate students in pure
mathematics, and encompasses everything that most such students are
likely to need; others who need the material will also find it
accessible. It assumes no prior knowledge of the subject, but a firm
basis in the theory of field extensions at an undergraduate level is
required, and an appendix covers other prerequisites. The book covers
the two basic methods of approaching Algebraic Number Theory, using
ideals and valuations, and includes material on the most usual kinds of
algebraic number field, the functional equation of the zeta function and
a substantial digression on the classical approach to Fermat's Last
Theorem, as well as a comprehensive account of class field theory. Many
exercises and an annotated reading list are also included.
หมวดหมู่:
ปี:
2001
ฉบับพิมพ์ครั้งที่:
Annotated
สำนักพิมพ์:
Cambridge University Press
ภาษา:
english
จำนวนหน้า:
158
ISBN 10:
0521004233
ISBN 13:
9780521004237
ไฟล์:
PDF, 9.02 MB
IPFS:
,
english, 2001
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