A Course in Number Theory and Cryptography by Neal Koblitz

A Course in Number Theory and Cryptography by Neal Koblitz

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Summary

In part it is the dramatic increase in computer power and sophistica­ tion that has influenced some of the questions being studied by number theorists, giving rise to a new branch of the subject, called "computational number theory.

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A Course in Number Theory and Cryptography by Neal Koblitz

. . . both Gauss and lesser mathematicians may be justified in rejoic­ ing that there is one science [number theory] at any rate, and that their own, whose very remoteness from ordinary human activities should keep it gentle and clean. - G. H. Hardy, A Mathematician's Apology, 1940 G. H. Hardy would have been surprised and probably displeased with the increasing interest in number theory for application to "ordinary human activities" such as information transmission (error-correcting codes) and cryptography (secret codes). Less than a half-century after Hardy wrote the words quoted above, it is no longer inconceivable (though it hasn't happened yet) that the N. S. A. (the agency for U. S. government work on cryptography) will demand prior review and clearance before publication of theoretical research papers on certain types of number theory. In part it is the dramatic increase in computer power and sophistica­ tion that has influenced some of the questions being studied by number theorists, giving rise to a new branch of the subject, called "computational number theory. " This book presumes almost no background in algebra or number the­ ory. Its purpose is to introduce the reader to arithmetic topics, both ancient and very modern, which have been at the center of interest in applications, especially in cryptography. For this reason we take an algorithmic approach, emphasizing estimates of the efficiency of the techniques that arise from the theory.
SKU Unavailable
ISBN 13 9780387942933
ISBN 10 0387942939
Title A Course in Number Theory and Cryptography
Author Neal Koblitz
Series Graduate Texts In Mathematics
Condition Unavailable
Binding Type Hardback
Publisher Springer-Verlag New York Inc.
Year published 1994-09-02
Number of pages 235
Cover note Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note Unavailable