By Abhijit Das
Developed from the author’s renowned graduate-level direction, Computational quantity Theory provides a whole remedy of number-theoretic algorithms. heading off complex algebra, this self-contained textual content is designed for complicated undergraduate and starting graduate scholars in engineering. it's also appropriate for researchers new to the sector and practitioners of cryptography in industry.
Requiring no previous event with quantity thought or refined algebraic instruments, the publication covers many computational features of quantity thought and highlights vital and engaging engineering purposes. It first builds the root of computational quantity concept by way of masking the mathematics of integers and polynomials at a truly easy point. It then discusses elliptic curves, primality checking out, algorithms for integer factorization, computing discrete logarithms, and strategies for sparse linear platforms. The textual content additionally exhibits how number-theoretic instruments are utilized in cryptography and cryptanalysis. A committed bankruptcy at the software of quantity concept in public-key cryptography contains fresh advancements in pairing-based cryptography.
With an emphasis on implementation concerns, the ebook makes use of the freely on hand number-theory calculator GP/PARI to illustrate advanced mathematics computations. The textual content comprises a number of examples and workouts all through and omits long proofs, making the cloth available to scholars and practitioners.
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Additional resources for Computational Number Theory (Discrete Mathematics and Its Applications)
Computational Number Theory (Discrete Mathematics and Its Applications) by Abhijit Das