3. Algebraic and Number-theoretic Computations
3.1 | Introduction |
3.2 | Complexity Issues |
3.3 | Multiple-precision Integer Arithmetic |
3.4 | Elementary Number-theoretic Computations |
3.5 | Arithmetic in Finite Fields |
3.6 | Arithmetic on Elliptic Curves |
3.7 | Arithmetic on Hyperelliptic Curves |
3.8 | Random Numbers |
Chapter Summary | |
Sugestions for Further Reading |
From the start there has been a curious affinity between mathematics, mind and computing . . . It is perhaps no accident that Pascal and Leibniz in the seventeenth century, Babbage and George Boole in the nineteenth, and Alan Turing and John von Neumann in the twentieth – seminal figures in the history of computing – were all, among their other accomplishments, mathematicians, possessing a natural affinity for symbol, ...
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