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Item Details
| Title:
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COMPUTATIONAL NUMBER THEORY
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| By: |
Abhijit Das |
| Format: |
Hardback |
| List price:
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£110.00 |
| Our price: |
£99.00 |
| Discount: |
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| You save:
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£11.00 |
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| ISBN 10: |
1439866155 |
| ISBN 13: |
9781439866153 |
| Availability: |
Usually dispatched within 1-3 weeks.
 Delivery
rates
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| Stock: |
Currently 0 available |
| Publisher: |
TAYLOR & FRANCIS LTD |
| Pub. date: |
5 April, 2012 |
| Series: |
Discrete Mathematics and Its Applications |
| Pages: |
614 |
| Description: |
"Preface This book is a result of my teaching a Masters-level course with the same name for five years in the Indian Institute of Technology Kharagpur. The course was attended mostly by MTech and final-year BTech students from the department of Computer Science and Engineering. Students from the department of Mathematics and other engineering departments (mostly Electronics and Electrical Engineering, and Information Technology) also attended the course. Some research students enrolled in the MS and PhD programs constituted the third section of the student population. Historically, therefore, the material presented in this book is tuned to cater to the need and taste of engineering students in advanced undergraduate and beginning graduate levels. However, several topics that could not be covered in a one-semester course have also been included in order to make this book a comprehensive and complete treatment of number-theoretic algorithms. A justification is perhaps due to the effect why another textbook on computational number theory was necessary. Some (perhaps not many) textbooks on this subject are already available to international students. These books vary widely with respect to their coverage and technical sophistication. I believe that a textbook specifically targeted towards the engineering population is somewhat missing. This book should be accessible (but is not restricted) to students who have not attended any course on number theory. My teaching experience shows that heavy use of algebra (particularly, advanced topics like commutative algebra or algebraic number theory) often demotivates students"-- |
| Synopsis: |
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. |
| Illustrations: |
13 black & white illustrations |
| Publication: |
US |
| Imprint: |
Chapman & Hall/CRC |
| Returns: |
Returnable |
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