Applied Number Theory

Harald Niederreiter: Full member, Austrian Academy of Sciences; Full member and former member of the presidium, German Academy of Natural Sciences Leopoldina; Cardinal Innitzer Prize for Natural Sciences in Austria; Invited speaker at ICM 1998 (Berlin) and ICIAM 2003 (Sydney): Singapore National Science Award 2003; Fellow of the American Mathematical Society Arne Winterhof: Edmund and Rosa Hlawka Prize 2004; Advancement Award of the Austrian Mathematical Society 2010

• Preface.- 1 A Review of Number Theory and Algebra.- 2 Cryptography.- 3 Coding Theory.- 4 Quasi-Monte Carlo Methods.- 5 Pseudorandom Numbers.- 6 Further Applications.- Bibliography.- Index.

“The authors succeed admirably in their aim of demonstrating that the theory of numbers has applications. … The account is accessible, well-paced and unified and leads the reader along from the introductory ideas to recent advances. Each chapter has exercises inviting the reader to compute and fill in details in the proofs.” (John H. Loxton, Mathematical Reviews, April, 2016)“The book is intended to be usable as a text … . It would also be useful for those of us who received our training in number theory in the days before it had any applications and wanted to find out about them. … The writing is clear and lively. … The book is pleasant to the eyes, and in the hands. … It is an estimable book that I hope is successful.” (Underwood Dudley, MAA Reviews, maa.org, January, 2016)