Riesel, Hans 1929
Overview
Works:  6 works in 74 publications in 3 languages and 1,560 library holdings 

Roles:  Author 
Classifications:  QA246, 512.7 
Publication Timeline
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Most widely held works by
Hans Riesel
Prime numbers and computer methods for factorization by
Hans Riesel(
Book
)
59 editions published between 1985 and 2012 in 3 languages and held by 1,081 WorldCat member libraries worldwide
In this book the author treats four fundamental and apparently simple problems. They are: the number of primes below a given limit, the ap proximate number of primes, the recognition of prime numbers and the factorization of large numbers. A chapter on the details of the distribution of the primes is included as well as a short description of a recent applica tion of prime numbers, the socalled RSA publickey cryptosystem. The author is also giving explicit algorithms and computer programs. Whilst not claiming completeness, the author has tried to give all important results known, including the latest discoveries. The use of computers has in this area promoted a development which has enormously enlarged the wealth of results known and that has made many older works and tables obsolete. As is often the case in number theory, the problems posed are easy to understand but the solutions are theoretically advanced. Since this text is aimed at the mathematically inclined layman, as well as at the more advanced student, not all of the proofs of the results given in this book are shown. Bibliographical references in these cases serve those readers who wish to probe deeper. References to recent original works are also given for those who wish to pursue some topic further. Since number theory is seldom taught in basic mathematics courses, the author has appended six sections containing all the algebra and number theory required for the main body of the book
59 editions published between 1985 and 2012 in 3 languages and held by 1,081 WorldCat member libraries worldwide
In this book the author treats four fundamental and apparently simple problems. They are: the number of primes below a given limit, the ap proximate number of primes, the recognition of prime numbers and the factorization of large numbers. A chapter on the details of the distribution of the primes is included as well as a short description of a recent applica tion of prime numbers, the socalled RSA publickey cryptosystem. The author is also giving explicit algorithms and computer programs. Whilst not claiming completeness, the author has tried to give all important results known, including the latest discoveries. The use of computers has in this area promoted a development which has enormously enlarged the wealth of results known and that has made many older works and tables obsolete. As is often the case in number theory, the problems posed are easy to understand but the solutions are theoretically advanced. Since this text is aimed at the mathematically inclined layman, as well as at the more advanced student, not all of the proofs of the results given in this book are shown. Bibliographical references in these cases serve those readers who wish to probe deeper. References to recent original works are also given for those who wish to pursue some topic further. Since number theory is seldom taught in basic mathematics courses, the author has appended six sections containing all the algebra and number theory required for the main body of the book
En bok om primtal by
Hans Riesel(
Book
)
6 editions published between 1968 and 1981 in Swedish and held by 19 WorldCat member libraries worldwide
6 editions published between 1968 and 1981 in Swedish and held by 19 WorldCat member libraries worldwide
Die thermodynamischen Zustandsgrößen des Wasserdampfes bei maschinellen Berechnungen by
Hans Riesel(
Book
)
5 editions published in 1961 in German and Undetermined and held by 10 WorldCat member libraries worldwide
5 editions published in 1961 in German and Undetermined and held by 10 WorldCat member libraries worldwide
Multi, aritfu and analfu : Procedures written in algolsimula for multiple precision arithmetic and some numbertheoretic
computations by
Hans Riesel(
Book
)
2 editions published in 1982 in Undetermined and Swedish and held by 1 WorldCat member library worldwide
2 editions published in 1982 in Undetermined and Swedish and held by 1 WorldCat member library worldwide
Contributions to numerical number theory by
Hans Riesel(
Book
)
1 edition published in 1969 in English and held by 1 WorldCat member library worldwide
1 edition published in 1969 in English and held by 1 WorldCat member library worldwide
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