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Lecture Topic : (Math Physics) NUMBER THEORY (M2, Cohen)

Prerequisites : Number Theory (M1);

Recommended Text(s) :

“A Course in Computational Algebraic Number Theory”, Graduate Texts in Mathematics (GTM) No. 138, Henri Cohen, Springer, 1993.

Approx price new on (hard copy) : $68

Approx price second hand on (hard copy) : $44

Availability free on (e-format) : Yes

eMule search key word(s) : Cohen, Computational Algebraic Number Theory

Lectures and Links :


Lecture 1  (link)

Ch.1   Fundamental Number-Theoretic Algorithms


Lecture 2  (link)

Ch.2   Algorithms for Linear Algebra and Lattices


Lecture 3  (link)

Ch.3   Algorithms on Polynomials


Lecture 4 (link)

Ch.4   Algorithms for Algebraic Number Theory 1


Lecture 5  (link)

Ch.5   Algorithms for Quadratic Fields


Lecture 6  (link)

Ch.6   Algorithms for Algebraic Number Theory 2


Lecture 7  (link)

Ch.7   Introduction to Elliptic Curves


Lecture 8  (link)

Ch.8   Factoring in the Dark Ages


Lecture 9  (link)

Ch.9   Modern Primality Tests


Lecture 10  (link)

Ch.10   Modern Factoring Methods


Lecture 11  (link)

Appendix A : Packages for Number Theory


Lecture 12  (link)

Appendix B : Some Useful Tables


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