FUNDAMENTAL NUMBER THEORY WITH APPLICATIONS

Beginning with the arithmetic of the rational integers and proceeding to an introduction of algebraic number theory via quadratic orders, Fundamental Number Theory with Applications reveals intriguing new applications of number theory. This text details aspects of computer science related to ocryptographyofactoringoprimality testingocomplexity analysisocomputer arithmeticocomputational number theoryFundamental Number Theory with Applications also covers:oCarmichael numbersoDirichlet productsoJacobsthal sumsoMersenne primesoperfect numbersopowerful numbersoself-contained numbersNumerous exercises are included, testing the reader's knowledge of the concepts covered, introducing new and interesting topics, and providing a venue to learn background material.Written by a professor and author who is an accomplished scholar in this field, this book provides the material essential for an introduction to the fundamentals of number theory.