In Spring 2002, I would be teaching the M. Sc.II year course
### MA 502 Algebraic Number Theory

- Course Timings : Mon 10.35 - 11.30 AM, Wed 09.30 - 10.25 AM,
Thu 09.30 - 10.25 AM, Room 214 (Dept of Mathematics).

The new syllabus and the official list of recommended texts is as follows.

### Course Contents of MA 502 Algebraic Number Theory

| Credit Structure: 2 1 0 6
| Prerequisites : MA 501, MA 509 |

Algebraic numbers and their basic properties,
Algebraic number fields and rings of integers, Discriminant of a number field,
Unique factorization of ideals in algebraic number fields, Class group and
class number, Ramification of primes, Kummer's Theorem, Dedekind's
Discriminant Theorem, Cyclotomic fields and Kronecker-Weber theorem
(statement only). Introduction to class field theory.

**Texts / References**

J. W. Cassels, Local Fields,
Cambridge University Press, 1986.

H. M. Edwards, Fermat's Last Theorem,
Springer-Verlag, 1977.

A. Frohlich and M. J. Taylor, Algebraic Number Theory,
Cambridge University Press, 1993.

K. Ireland and M. Rosen, A Classical Introduction to
Modern Number Theory, 2nd ed., Springer-Verlag, 1990.

S. Lang, Algebraic Number Theory, Addison-Wesley, 1970.

D.A. Marcus, Number Fields, Springer-Verlag, 1977.

* Apart from these, I shall refer to my Notes, which are available
here.*

In addition, I would be the Course Associate for two sections of
### MA 104 Mathematics II

and engage the tutorials for two sections of this course.
- Tutorial Timings : Tue and Wed 11.35 AM - 12.30 PM, Room MB4
(Main Building).

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