Developed from the author s popular graduate-level course,
Computational Number Theory presents a complete treatment of
number-theoretic algorithms. Avoiding advanced algebra, this
self-contained text is designed for advanced undergraduate and
beginning graduate students in engineering. It is also suitable for
researchers new to the field and practitioners of cryptography in
industry.
Requiring no prior experience with number theory or
sophisticated algebraic tools, the book covers many computational
aspects of number theory and highlights important and interesting
engineering applications. It first builds the foundation of
computational number theory by covering the arithmetic of integers
and polynomials at a very basic level. It then discusses elliptic
curves, primality testing, algorithms for integer factorization,
computing discrete logarithms, and methods for sparse linear
systems. The text also shows how number-theoretic tools are used in
cryptography and cryptanalysis. A dedicated chapter on the
application of number theory in public-key cryptography
incorporates recent developments in pairing-based cryptography.
With an emphasis on implementation issues, the book uses the
freely available number-theory calculator GP/PARI to demonstrate
complex arithmetic computations. The text includes numerous
examples and exercises throughout and omits lengthy proofs, making
the material accessible to students and practitioners.
General
Imprint: |
Taylor & Francis
|
Country of origin: |
United States |
Series: |
Discrete Mathematics and Its Applications |
Release date: |
March 2013 |
First published: |
2012 |
Authors: |
Abhijit Das
|
Dimensions: |
234 x 156 x 32mm (L x W x T) |
Format: |
Hardcover
|
Pages: |
614 |
ISBN-13: |
978-1-4398-6615-3 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Number theory >
General
|
LSN: |
1-4398-6615-5 |
Barcode: |
9781439866153 |
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