یادداشتهای مربوط به کتابنامه ، واژه نامه و نمایه های داخل اثر
متن يادداشت
Includes bibliographical references (pages 143-144) and index.
یادداشتهای مربوط به مندرجات
متن يادداشت
1. Introduction: Efficient Primality Testing -- 2. Algorithms for Numbers and Their Complexity -- 3. Fundamentals from Number Theory -- 4. Basics from Algebra: Groups, Rings, and Fields -- 5. The Miller-Rabin Test -- 6. The Solovay-Strassen Test -- 7. More Algebra: Polynomials and Fields -- 8. Deterministic Primality Testing in Polynomial Time -- A. Appendix.
بدون عنوان
0
یادداشتهای مربوط به خلاصه یا چکیده
متن يادداشت
This book is devoted to algorithms for the venerable primality problem: Given a natural number n, decide whether it is prime or composite. The problem is basic in number theory, efficient algorithms that solve it, i.e., algorithms that run in a number of computational steps which is polynomial in the number of digits needed to write n, are important for theoretical computer science and for applications in algorithmics and cryptology. This book gives a self-contained account of theoretically and practically important efficient algorithms for the primality problem, covering the randomized algorithms by Solovay-Strassen and Miller-Rabin from the late 1970s as well as the recent deterministic algorithm of Agrawal, Kayal, and Saxena. The textbook is written for students of computer science, in particular for those with a special interest in cryptology, and students of mathematics, and it may be used as a supplement for courses or for self-study.
ویراست دیگر از اثر در قالب دیگر رسانه
عنوان
Primality testing in polynomial time.
شماره استاندارد بين المللي کتاب و موسيقي
3540403442
موضوع (اسم عام یاعبارت اسمی عام)
موضوع مستند نشده
Algorithms.
موضوع مستند نشده
Numbers, Prime.
موضوع مستند نشده
Polynomials.
موضوع مستند نشده
Algorithms.
موضوع مستند نشده
Numbers, Prime.
موضوع مستند نشده
Polynomials.
رده بندی کنگره
شماره رده
QA246
نشانه اثر
.
D54
2004
نام شخص به منزله سر شناسه - (مسئولیت معنوی درجه اول )