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- World Scientific Publishing Company 2010; US$ 111.00
This 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...
- Springer 2011; US$ 59.99
From 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...
- Cambridge University Press 1999; US$ 66.00
The 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...
- Cambridge University Press 2005; US$ 50.00
This book provides a motivated introduction to sieve theory. Rather than focus on technical details which obscure the beauty of the theory, the authors focus on examples and applications, developing the theory in parallel. Suitable for a senior level undergraduate course or an introductory graduate course in analytic number theory. more...
- Springer-Verlag New York Inc 2006; US$ 59.99
Prime 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...
- Cambridge University Press 2006; US$ 110.00
L-functions associated to automorphic forms encode all classical number theoretic information. They are akin to elementary particles in physics. This book provides an entirely self-contained introduction to the theory of L-functions in a style accessible to graduate students with basic knowledge of classical analysis, complex variable theory, and algebra. more...
- Cambridge University Press 2006; US$ 64.00
Prime numbers are the multiplicative building blocks of natural numbers. Understanding their overall influence and especially their distribution gives rise to central questions in mathematics and physics. The authors bring their extensive and distinguished research expertise to prepare the student for intelligent reading of the more advanced research... more...
- Springer 2006; US$ 119.99
Provides information on singularity theory and algebraic geometry; the theory of systems of linear differential equations; the theory of homomorphic foliations; and the connection of monodromy theory with Galois theory of differential equations and algebraic functions. This book underlines the unifying role of the monodromy group. more...
- De Gruyter 2004; US$ 238.00
The book presents the theory of multiple trigonometric sums constructed by the authors. Following a unified approach, the authors obtain estimates for these sums similar to the classical I. M. Vinogradovīs estimates and use them to solve several problems in analytic number theory. They investigate trigonometric integrals, which are often encountered... more...