Learn IT - Books tags elliptic

Quantum Attacks on Public-Key Cryptosystems

Springer, 2013

The cryptosystems based on the Integer Factorization Problem (IFP), the Discrete Logarithm Problem (DLP) and the Elliptic Curve Discrete Logarithm Problem (ECDLP) are essentially the only three types of practical public-key cryptosystems in use. The security of these cryptosystems relies heavily on these three infeasible problems, as no...

Number Theory for Computing

Springer, 2002

There are many surprising connections between the theory of numbers, which is one of the oldest branches of mathematics, and computing and information theory. Number theory has important applications in computer organization and security, coding and cryptography, random number generation, hash functions, and graphics. Conversely, number theorists...

Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB

John Wiley & Sons, 2004

Learn how to solve complex differential equations using MATLAB®

Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB® teaches readers how to numerically solve both ordinary and partial differential equations with ease. This innovative publication brings together a skillful treatment of MATLAB...

Cryptography and Public Key Infrastructure on the Internet

John Wiley & Sons, 2003

Cryptography and Public Key Infrastructure on the Internet provides a thorough overview of the subject. It explains how susceptible networks are to hacking and how cryptography can help. This comprehensive and practical guide covers:

* Public Key Infrastructures (PKIs); important when using cryptography in a large organisation,
...

104 Number Theory Problems: From the Training of the USA IMO Team

Birkhauser, 2006

This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas,...

Topics in Mathematical Analysis (Series on Analysis, Applications and Computation)

World Scientific Publishing, 2008

This volume consists of a series of lecture notes on mathematical analysis. The contributors have been selected on the basis of both their outstanding scientific level and their clarity of exposition. Thus, the present collection is particularly suited to young researchers and graduate students. Through this volume, the editors intend to provide...

Operator Theory and Numerical Methods (Studies in Mathematics and its Applications)

North Holland, 2001

The authors provide a very sharp theoretical study of numerical methods used to solve partial diferential equations of elliptic and parabolic type. Every numerical scheme is thoroughly dissected. As a whole, everything fits together in a harmonious way.

The book is efficiently organized and each chapter concludes with a very informative...

Advances in Elliptic Curve Cryptography (London Mathematical Society Lecture Note Series)

Cambridge University Press, 2005

Since the appearance of the authors' first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topics, particularly point counting, the progress has been spectacular. Other topics such as the Weil and Tate pairings have been applied in new and important ways to cryptographic...

Algorithmic Cryptanalysis (Cryptography and Network Security)

CRC Press, 2009

Focusing on both private- and public-key cryptographic algorithms, this book describes algorithmic methods with cryptographically relevant examples. After introducing modern cryptography and elementary number theory and algebra, it covers linear algebra, sieving, brute force, algorithms based on the birthday paradox,...

Fault Analysis in Cryptography (Information Security and Cryptography)

Springer, 2012

In the 1970s researchers noticed that radioactive particles produced by elements naturally present in packaging material could cause bits to flip in sensitive areas of electronic chips. Research into the effect of cosmic rays on semiconductors, an area of particular interest in the aerospace industry, led to methods of hardening electronic...

An Introduction to Partial Differential Equations

Cambridge University Press, 2005

"This is an introductory book on the subject of partial differential equations which is suitable for a large variety of basic courses on this topic. In particular, it can be used as a textbook or self-study book for large classes of readers with interests in mathematics, engineering, and related fields. Its usefulness stems from its clarity,...

Making, Breaking Codes: Introduction to Cryptology

Prentice Hall, 2001

This book is an introduction to modern ideas in cryptology and how to employ these ideas. It includes the relevant material on number theory, probability, and abstract algebra, in addition to descriptions of ideas about algorithms and com plexity theory. Three somewhat different terms appear in the discussion of secure communications...

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