An Introduction to Mathematical Cryptography provides an introduction to public key cryptography and underlying mathematics that is required for the subject. Each of the eight chapters expands on a specific area of mathematical cryptography and provides an extensive list of exercises. It is a suitable text for advanced students in pure and applied mathematics and computer science, or the book may be used as a self-study. This book also provides a self-contained treatment of mathematical cryptography for the reader with limited mathematical background.

An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics)

Computers & Technology

Hoffstein, Jeffrey

Pipher, Jill

Silverman, J.H.

Computer Science

Springer

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 curves in its modern formulation, through the use of basic algebraic number theory and algebraic geometry. The book begins with a brief discussion of the necessary algebro-geometric results, and proceeds with an exposition of the geometry of elliptic curves, the formal group of an elliptic curve, elliptic curves over finite fields, the complex numbers, local fields, and global fields. The last two chapters deal with integral and rational points, including Siegel's theorem and explicit computations for the curve Y^2 = X^3 + DX. The book contains three appendices: Elliptic Curves in Characteristics 2 and 3, Group Cohomology, and a third appendix giving an overview of more advanced topics.

The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)

Science & Math

Mathematics

Springer-Verlag New York, Incorporated

This book provides an introduction to the relatively new discipline of arithmetic dynamics. Whereas classical discrete dynamics is the study of iteration of self-maps of the complex plane or real line, arithmetic dynamics is the study of the number theoretic properties of points under repeated application of a polynomial or rational function. A principal theme of arithmetic dynamics is that many of the fundamental problems in the theory of Diophantine equations have dynamical analogs. This graduate-level text provides an entry for students into an active field of research and serves as a standard reference for researchers.

The Arithmetic of Dynamical Systems (Graduate Texts in Mathematics, 241)

Reference

This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics. It includes exercises and examples at the end of each section.

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Books by Silverman, J.H.

See the best price to sell, buy, or rent books by Silverman, J.H.. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics)

The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)

The Arithmetic of Dynamical Systems (Graduate Texts in Mathematics, 241)

An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics)