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Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB
Introduction to Numerical Ordinary and Partial Differential Equations Using MATLAB
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...

Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications)
Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications)
Over the last two or three decades, elliptic curves have been playing an increasingly important role both in number theory and in related fields such as cryptography. For example, in the 1980s, elliptic curves started being used in cryptography and elliptic curve techniques were developed for factorization and primality...
Cryptography and Public Key Infrastructure on the Internet
Cryptography and Public Key Infrastructure on the Internet
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,
...
Algorithmic Cryptanalysis (Cryptography and Network Security)
Algorithmic Cryptanalysis (Cryptography and Network Security)
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)
Fault Analysis in Cryptography (Information Security and Cryptography)

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...

Complexity and Cryptography : An Introduction
Complexity and Cryptography : An Introduction
This book originated in a well-established yet constantly evolving course on
Complexity and Cryptography which we have both given to final year Mathematics
undergraduates at Oxford for many years. It has also formed part of an
M.Sc. course on Mathematics and the Foundations of Computer Science, and
has been the basis for a more
...
The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)
The Arithmetic of Elliptic Curves (Graduate Texts in Mathematics)

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...

Random Curves: Journeys of a Mathematician
Random Curves: Journeys of a Mathematician
These autobiographical memoirs of Neal Koblitz, coinventor of one of the two most popular forms of encryption and digital signature, cover many topics besides his own personal career in mathematics and cryptography - travels to the Soviet Union, Latin America, Vietnam and elsewhere, political activism, and academic controversies relating to math...
Understanding Cryptography: A Textbook for Students and Practitioners
Understanding Cryptography: A Textbook for Students and Practitioners

Cryptography is now ubiquitous – moving beyond the traditional environments, such as government communications and banking systems, we see cryptographic techniques realized in Web browsers, e-mail programs, cell phones, manufacturing systems, embedded software, smart buildings, cars, and even medical implants. Today's designers need a...

Quantum Attacks on Public-Key Cryptosystems
Quantum Attacks on Public-Key Cryptosystems

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...

Public Key Cryptography: Applications and Attacks (IEEE Press Series on Information and Communication Networks Security)
Public Key Cryptography: Applications and Attacks (IEEE Press Series on Information and Communication Networks Security)

This book covers public-key cryptography, describing in depth all major public-key cryptosystems in current use, including ElGamal, RSA, Elliptic Curve, and digital signature schemes. It explains the underlying mathematics needed to build these schemes, and examines the most common techniques used in attacking them. Illustrated with many...

Guide to Elliptic Curve Cryptography (Springer Professional Computing)
Guide to Elliptic Curve Cryptography (Springer Professional Computing)
The study of elliptic curves by algebraists, algebraic geometers and number theorists
dates back to the middle of the nineteenth century. There now exists an extensive literature
that describes the beautiful and elegant properties of these marvelous objects. In
1984, Hendrik Lenstra described an ingenious algorithm for factoring
...
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