Course Archives Theoretical Statistics and Mathematics Unit
Course: Introduction to Algebraic Number Theory
Level: Undergraduate
Time: Currently not offered
Syllabus
Past Exams


Syllabus: Number fields and number rings, prime decomposition in number rings, Dedekind domains, definition of the ideal class group, Galois theory applied to prime decomposition and Hilbert ramification theory, Gauss reciprocity law, Cyclotomic fields and their ring of integers as an example, the finiteness of the ideal class group, Dirichlet Unit theorem.

Reference Texts:
1. D. Marcus: Number fields
2. G. J. Janusz: Algebraic Number Theory

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Past Exams
Midterm
09.pdf 12.pdf 13.pdf 14.pdf 15.pdf 16.pdf 17.pdf 18.pdf 19.pdf 20.pdf 23.pdf
Semestral
12.pdf 13.pdf 15.pdf 16.pdf 17.pdf 18.pdf 19.pdf 20.pdf 21.pdf 22.pdf 23.pdf
Supplementary and Back Paper
17.pdf 20.pdf 22.pdf 23.pdf

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[ Semester Schedule ] [ Statmath Unit ] [Indian Statistical Institute]