Since the introduction of public-key cryptography by Diffie and Hellman in 1976, the
potential for the use of the discrete logarithm problem in public-key cryptosystems has been …

Cryptography is considered indispensable among security measures applied to data
concerning insecure means of transmission. Among various existent algorithms on …

This is the second edition of Understanding Cryptography. Ever since we released the first
edition in 2009, we have been humbled by the many positive responses we received from …

The theory of elliptic curves is distinguished by its long history and by the diversity of the
methods that have been used in its study. This book treats the arithmetic theory of elliptic …

Undergraduate Texts in Mathematics are generally aimed at third-and fourthyear
undergraduate mathematics students at North American universities. These texts strive to …

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Like its bestselling predecessor, Elliptic Curves: Number Theory and Cryptography, Second
Edition develops the theory of elliptic curves to provide a basis for both number theoretic and …

In Chapter 1, we have seen how the algebra of the polynomial rings k [x1,..., xn] and the
geometry of affine algebraic varieties are linked. In this chapter, we will study the method of …

Steven Finch provides 136 essays, each devoted to a mathematical constant or a class of
constants, from the well known to the highly exotic. This book is helpful both to readers …

First published in 1975, this classic book gives a systematic account of transcendental
number theory, that is, the theory of those numbers that cannot be expressed as the roots of …