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Elliptic Curves: Number Theory and Cryptography (Hardback)
"Elliptic curves have played an increasingly important role in number theory and relate fields over the last several decades, most notably in areas such as cryptography, factorization, and the proof of Fermat's Last Theorem. However, most books on the subject assume a rather high level of mathematical sophistication, an few are truly accessible to senior undergraduate or beginning graduate students. Assuming only a modest background in elementary number theory, groups, and fields, Elliptic Curves: Number Theory an Cryptography introduces both the cryptographic and number theoretic sides of elliptic curves, interweaving the theory of elliptic curves with their applications." — From the back cover
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VERY GOOD: This book is in very good condition, showing on slight signs of use and wear. It was printed on acid-free paper.
Continued from the back cover: “The author introduces elliptic curves over finite fields nearly in the treatment, leading readers directly to the intriguing cryptographic applications, but the book is structured so that readers can explore the number theoretic aspects independently if desired.
By side-stepping algebraic geometry in favor of an approach based on basic formulas, this book clearly demonstrates how elliptic curves are used and opens the doors to higher-level studies. Elliptic Curves offers a solid introduction to the mathematics and applications of elliptic curves that well prepares its readers to tackle more advanced problems in cryptography and number theory.”
- The Basic Theory
- Torsion Points
- Elliptic Curves over Finite Fields
- The Discrete Logarithm Problem
- Elliptic Curve Cryptography
- Other Applications
- Elliptic Curves over Q
- Elliptic Curves over C
- Complex Multiplication
- Zeta Functions
- Fermat’s Last Theorem
- Number Theory
The book concludes with References and Index.
- Washington, Lawrence C.
- Chapman & Hall/CRC
- Publish Date:
- 2003 (First Printing)
- Weight (pounds):
- Dimensions (W”xL”xH”):
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