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NUMBER THEORY (M2, Cohen)
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 Amazon.com (hard copy) : $68
Approx price second hand on Amazon.com (hard copy) : $44
Availability free on eMule.com (e-format) : Yes
eMule search key word(s) : Cohen, Computational Algebraic Number Theory
Lectures and Links :
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Lecture 1 (link)
Ch.1 Fundamental Number-Theoretic Algorithms
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Lecture 2 (link)
Ch.2 Algorithms for Linear Algebra and Lattices
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Lecture 3 (link)
Ch.3 Algorithms on Polynomials
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Lecture 4 (link)
Ch.4 Algorithms for Algebraic Number Theory 1
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Lecture 5 (link)
Ch.5 Algorithms for Quadratic Fields
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Lecture 6 (link)
Ch.6 Algorithms for Algebraic Number Theory 2
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Lecture 7 (link)
Ch.7 Introduction to Elliptic Curves
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Lecture 8 (link)
Ch.8 Factoring in the Dark Ages
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Lecture 9 (link)
Ch.9 Modern Primality Tests
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Lecture 10 (link)
Ch.10 Modern Factoring Methods
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Lecture 11 (link)
Appendix A : Packages for Number Theory
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Lecture 12 (link)
Appendix B : Some Useful Tables
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