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1-10 of 58 Reviews about "
Number-Theoretic Computations (F.2.1...)
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Number theory: an introduction via the density of primes (2nd ed.)
Fine B., Rosenberger G., Birkhäuser Basel, Cham, Switzerland, 2016. 413 pp. Type: Book (978-3-319438-73-3)
This is the second edition of a respected text on number theory. The subtitle--
an introduction via the density of primes
--explains its orientation. It’s certainly ambitious, proving the prime number t...
Jun 2 2017
Quantum computational number theory
Yan S., Springer International Publishing, New York, NY, 2015. 252 pp. Type: Book (978-3-319258-21-8)
The idea of quantum computing including the quantum Turing machine originated in the last century. However, real interest in quantum computing developed after the seminal paper by Peter Shor [1], where he gave polynomial-time algorithm...
Apr 26 2017
Summing it up: from one plus one to modern number theory
Ash A., Gross R., Princeton University Press, Princeton, NJ, 2016. 248 pp. Type: Book (978-0-691170-19-0)
I am not an official number theorist, like most in the target readership of this intriguing book, but I do belong to the set of “math enthusiasts of all backgrounds” for whom this book was written....
Jan 26 2017
A survey of the multiplier conjecture
Gordon D., Schmidt B. Designs, Codes and Cryptography 78(1): 221-236, 2016. Type: Article
A multiplier in an abelian group is an integer power that acts in the same way as a single group element when applied to the elements of a difference set of the group. In this survey paper, the authors provide an overview of progress o...
May 6 2016
Computational number theory
Das A., Chapman & Hall/CRC, Boca Raton, FL, 2013. 614 pp. Type: Book (978-1-439866-15-3)
Number theory has been studied since the time of the ancient Greeks. It consists of the study of the properties of numbers, primarily integers, and algorithms used to manipulate them. For example, mathematicians have wondered why prime...
Aug 5 2014
An introduction to number theory with cryptography
Kraft J., Washington L., Chapman & Hall/CRC, 2013. 572 pp. Type: Book (978-1-482214-41-3)
Over 50 years ago, the mathematician Leonard Dickson said, “Thank God that number theory is unsullied by any application.” As it turns out, much later, number theory formed the basis of many, many applications. In p...
Jun 25 2014
Approximately counting semismooth integers
Bach E., Sorenson J. ISSAC 2013 (Proceedings of the 38th International Symposium on Symbolic and Algebraic Computation, Boston, MA, Jun 26-29, 2013) 23-30, 2013. Type: Proceedings
An integer
n
is
y
-smooth if and only if (iff) all prime factors of
n
are ≤
y
. An integer
n
is (
y
,
z
Apr 3 2014
Lattice basis reduction: an introduction to the LLL algorithm and its applications
Bremner M., CRC Press, Inc., Boca Raton, FL, 2011. 332 pp. Type: Book (978-1-439807-02-6)
This is an introductory text on lattice algorithms and their applications. A lattice consists of all vectors that can be expressed as an integer combination of a given fixed set of vectors in
R
n
(the vecto...
Mar 5 2012
Fundamental number theory with applications (2nd ed.)
Mollin R., Chapman & Hall/CRC, Boca Raton, FL, 2008. 384 pp. Type: Book (978-1-420066-59-3)
Mollin’s second edition takes “a truly elementary approach to number theory” that also entails “removal of all advanced material” so as “to be ... more accessible in scope.&am...
Mar 30 2010
A computational introduction to number theory and algebra
Shoup V., Cambridge University Press, New York, NY, 2009. 598 pp. Type: Book (9780521516440), Reviews: (2 of 2)
It’s a pleasure to find a book that is so masterful and so well written that it has all the hallmarks of a classic. This is such a book. Shoup set himself the difficult task of bringing readers up to speed with number theory ...
Jul 20 2009
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