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Computational Number Theory

e-books in Computational Number Theory category

Book cover: Smooth Numbers: Computational Number Theory and BeyondSmooth Numbers: Computational Number Theory and Beyond
by - Universite de Montreal ,
The analysis of many number theoretic algorithms turns on the role played by integers which have only small prime factors -- 'smooth numbers'. It is important to have accurate estimates for the number of smooth numbers in various sequences.
(3532 views)
Book cover: Modular Forms: A Computational ApproachModular Forms: A Computational Approach
by - American Mathematical Society ,
This book fills a significant gap in the extensive literature on classical modular forms. This is not just yet another introductory text to this theory, though it could certainly be used as such in conjunction with more traditional treatments.
(4846 views)

Book cover: Algorithmic Number TheoryAlgorithmic Number Theory
by - Cambridge University Press ,
This text provides a comprehensive introduction to algorithmic number theory for beginning graduate students. It covers the fundamental algorithms of elementary number theory, lattice basis reduction, elliptic curves, algebraic number fields, etc.
(9400 views)
Book cover: A Computational Introduction to Number Theory and AlgebraA Computational Introduction to Number Theory and Algebra
by - Cambridge University Press ,
This introductory book emphasises algorithms and applications, such as cryptography and error correcting codes. It is accessible to a broad audience. Prerequisites are a typical undergraduate course in calculus and some experience in doing proofs.
(28662 views)
Book cover: Computer analysis of number sequencesComputer analysis of number sequences
by - American Research Press ,
This is a book on empirical number theory concentrating on the analysis of number sequences. Its focus is on a small part of integer sequences defined by Florentin Smarandache. The author has also included some other results of his research.
(7825 views)
Book cover: Surfing on the ocean of numbersSurfing on the ocean of numbers
by - Erhus University Press ,
The author uses computers to explore the solutions to some problems in number theory. The emphasis is on the statement of a problem and the examination of the solutions for numbers in a selected range. Many of the problems are very hard.
(7035 views)