Surfing on the ocean of numbers
by Henry Ibstedt
Publisher: Erhus University Press 1997
ISBN/ASIN: 187958557X
ISBN-13: 9781879585577
Number of pages: 76
Description:
In this book, Henry Ibstedt takes us on a journey where computers are used to explore the solutions to some simple problems in number theory. Very little is proven in the book, 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 in the very hard to impossible category, although you never really know about problems in number theory.
Download or read it online for free here:
Download link
(2.8MB, PDF)
Similar books
A Computational Introduction to Number Theory and Algebraby Victor Shoup - 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.
(41978 views)
Algorithmic Number Theoryby J.P. Buhler, P. Stevenhagen - 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.
(15782 views)
Smooth Numbers: Computational Number Theory and Beyondby Andrew Granville - 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.
(8823 views)
Modular Forms: A Computational Approachby William A. Stein - 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.
(9593 views)