Learn IT - Books tags elliptic

Elliptic and Parabolic Equations Involving the Hardy-Leray Potential (De Gruyter Nonlinear Analysis and Applications)

De Gruyter, 2021

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...

Complexity and Cryptography : An Introduction

Cambridge University Press, 2006

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...

Guide to Elliptic Curve Cryptography (Springer Professional Computing)

Springer, 2004

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...

Elliptic Curves: Number Theory and Cryptography, Second Edition (Discrete Mathematics and Its Applications)

CRC Press, 2008

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...

Handbook of Differential Equations: Stationary Partial Differential Equations, Volume 6

Elsevier Limited, 2008

This is a survey on elliptic boundary value problems on varying domains and tools needed for that. Such problems arise in numerical analysis, in shape optimisation problems and in the investigation of the solution structure of nonlinear elliptic equations. The methods are also useful to obtain certain results for equations on non-smooth...

An Introduction to Mathematical Cryptography (Undergraduate Texts in Mathematics)

Springer, 2008

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 while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required...

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...

Partial Differential Equations 2: Functional Analytic Methods (Universitext)

Springer, 2006

This comprehensive two-volume textbook presents the whole area of Partial Differential Equations - of the elliptic, parabolic, and hyperbolic type - in two and several variables. Special emphasis is put on the connection of PDEs and complex variable methods.

In this second volume the following topics are treated: Solvability of...

Algebraic Curves in Cryptography (Discrete Mathematics and Its Applications)

CRC Press, 2013

The reach of algebraic curves in cryptography goes far beyond elliptic curve or public key cryptography yet these other application areas have not been systematically covered in the literature. Addressing this gap, Algebraic Curves in Cryptography explores the rich uses of algebraic curves in a range of cryptographic...

Elliptic Curves (Graduate Texts in Mathematics)

Springer, 2003

The book divides naturally into several parts according to the level of the material,
the background required of the reader, and the style of presentation with respect to
details of proofs. For example, the first part, to Chapter 6, is undergraduate in level,
the second part requires a background in Galois theory and the third some...

Theory of Sobolev Multipliers: With Applications to Differential and Integral Operators (Grundlehren der mathematischen Wissenschaften)

Springer, 2008

The purpose of this book is to give a comprehensive exposition of the theory of pointwise multipliers acting in pairs of spaces of differentiable functions. The theory was essentially developed by the authors during the last thirty years and the present volume is mainly based on their results.

Part I is devoted to the theory of multipliers and...

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...

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