Computational Number Theory - Discrete Mathematics and Its Applications - Abhijit Das - 書籍 - Taylor & Francis Inc - 9781439866153 - 2013年3月18日
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Abhijit Das
Computational Number Theory - Discrete Mathematics and Its Applications 第1 版

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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.

614 pages, 13 black & white illustrations

メディア 書籍     Hardcover Book   (ハードカバー付きの本)
リリース済み 2013年3月18日
ISBN13 9781439866153
出版社 Taylor & Francis Inc
ページ数 614
寸法 236 × 161 × 32 mm   ·   962 g
言語 英語  

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