目次

Preface.- Notations.- Elementary Number Theory: Introduction. Theory ofDivisibility. Diophantine Equations. Arithmetical Functions. Theory ofCongruences. Arithmetic of Elliptic Curves. Bibliographic Notes and FurtherReading.- Algorithmic Number Theory: Introduction. Algorithms for PrimalityTesting. Algorithms for Integer Factorization. Algorithms for DiscreteLogarithms. Quantum Algorithmic Number Theory. Bibliographic Notes andFurther Reading.- Applied Number Theory: Why Applied Number Theory. ComputerSystems Design. Cryptology and Information Security.- Bibliographic Notes andFurther Reading.- Bibliography.- Index.