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Mobius Inversion in Physics
World Scientific Publishing Company 2010; US$ 111.00This book attempts to bridge the gap between the principles of pure mathematics and the applications in physical science. After the Mobius inversion formula had been considered as purely academic, or beyond what was useful in the physics community for more than 150 years, the apparently obscure result in classical mathematics suddenly appears to be... more...
Prime Numbers and Computer Methods for Factorization
Springer 2011; US$ 59.99From the original hard cover edition: In the modern age of almost universal computer usage, practically every individual in a technologically developed society has routine access to the most up-to-date cryptographic technology that exists, the so-called RSA public-key cryptosystem. A major component of this system is the factorization of large numbers... more...
Character Sums with Exponential Functions and their Applications
Cambridge University Press 1999; US$ 66.00The theme of this book is the distribution of integer powers modulo a prime number. It provides numerous new links between number theory and computer science as well as other areas of mathematics. Applications include (but are not limited to) complexity theory, random number generation, cryptography, and coding theory. more...
An Introduction to Sieve Methods and Their Applications
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Prime Numbers
Springer-Verlag New York Inc 2006; US$ 59.99Prime numbers beckon to the beginner, the basic notion of primality being accessible to a child. This book concentrates on the computational aspects of prime numbers, such as recognizing primes and discovering the fundamental prime factors of a given number. It includes over 100 explicit algorithms cast in detailed pseudocode. more...
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Multiplicative Number Theory I
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