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Elliptic and Parabolic Equations Involving the Hardy-Leray Potential (De Gruyter Nonlinear Analysis and Applications)
Elliptic and Parabolic Equations Involving the Hardy-Leray Potential (De Gruyter Nonlinear Analysis and Applications)
The scientific literature on the Hardy-Leray inequality, also known as the uncertainty principle, is very extensive and scattered. The Hardy-Leray potential shows an extreme spectral behavior and a peculiar influence on diffusion problems, both stationary and evolutionary. In this book, a big part of the scattered knowledge about these different...
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,
...
Advances in Elliptic Curve Cryptography (London Mathematical Society Lecture Note Series)
Advances in Elliptic Curve Cryptography (London Mathematical Society Lecture Note Series)
    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)
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,...
Making, Breaking Codes: Introduction to Cryptology
Making, Breaking Codes: Introduction to Cryptology

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...

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...

Fundamentals of Cryptology: A Professional Reference and Interactive Tutorial
Fundamentals of Cryptology: A Professional Reference and Interactive Tutorial
The protection of sensitive information against unauthorized access or fraudulent changes has been of prime concern throughout the centuries. Modern communication techniques, using computers connected through networks, make all data even more vulnerable to these threats. In addition, new issues have surfaced that did not exist previously, e.g....
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...

Cryptographic Hardware and Embedded Systems - CHES 2002: 4th International Workshop, Redwood Shores, CA, USA, August 13-15, 2002
Cryptographic Hardware and Embedded Systems - CHES 2002: 4th International Workshop, Redwood Shores, CA, USA, August 13-15, 2002
This book constitutes the thoroughly refereed post-proceedings of the 4th International Workshop on Cryptographic Hardware and Embedded Systems, CHES 2002, held in Redwood Shores, California, USA in August 2002.

The 41 revised full papers presented together with two invited contributions were carefully selected from 101 submissions during two...

DSP for MATLAB and LabVIEW III: Digital Filter Design (Synthesis Lectures on Signal Processing)
DSP for MATLAB and LabVIEW III: Digital Filter Design (Synthesis Lectures on Signal Processing)

This book is Volume III of the series DSP for MATLAB™ and LabVIEW™. Volume III covers digital filter design, including the specific topics of FIR design via windowed-ideal-lowpass filter, FIR highpass, bandpass, and bandstop filter design from windowed-ideal lowpass filters, FIR design using the transition-band-optimized Frequency...

Partial Differential Equations: Second Edition (Cornerstones)
Partial Differential Equations: Second Edition (Cornerstones)

This self-contained text offers an elementary introduction to partial differential equations (pdes), primarily focusing on linear equations, but also providing some perspective on nonlinear equations. The classical treatment is mathematically rigorous with a generally theoretical layout, though indications to some of the physical origins of pdes...

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