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Elliptic Curves and Their Applications to Cryptography, Andreas Enge


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Автор: Andreas Enge
Название:  Elliptic Curves and Their Applications to Cryptography
ISBN: 9781461373728
Издательство: Springer
Классификация: ISBN-10: 1461373727
Обложка/Формат: Paperback
Страницы: 164
Вес: 0.27 кг.
Дата издания: 29.10.2012
Язык: English
Размер: 234 x 156 x 10
Основная тема: Computer Science
Подзаголовок: An Introduction
Ссылка на Издательство: Link
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Поставляется из: Германии
Описание: Since their invention in the late seventies, public key cryptosystems have become an indispensable asset in establishing private and secure electronic communication, and this need, given the tremendous growth of the Internet, is likely to continue growing. Elliptic curve cryptosystems represent the state of the art for such systems.
Elliptic Curves and Their Applications to Cryptography: An Introduction provides a comprehensive and self-contained introduction to elliptic curves and how they are employed to secure public key cryptosystems. Even though the elegant mathematical theory underlying cryptosystems is considerably more involved than for other systems, this text requires the reader to have only an elementary knowledge of basic algebra. The text nevertheless leads to problems at the forefront of current research, featuring chapters on point counting algorithms and security issues. The Adopted unifying approach treats with equal care elliptic curves over fields of even characteristic, which are especially suited for hardware implementations, and curves over fields of odd characteristic, which have traditionally received more attention.
Elliptic Curves and Their Applications: An Introduction has been used successfully for teaching advanced undergraduate courses. It will be of greatest interest to mathematicians, computer scientists, and engineers who are curious about elliptic curve cryptography in practice, without losing the beauty of the underlying mathematics.


Elliptic Functional Differential Equations and Applications

Автор: Alexander L. Skubachevskii
Название: Elliptic Functional Differential Equations and Applications
ISBN: 3034898770 ISBN-13(EAN): 9783034898775
Издательство: Springer
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Цена: 97820.00 T
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Описание: Boundary value problems for elliptic differential-difference equations have some astonishing properties. The book is addresssed to graduate students and researchers in partial differential equations and functional differential equations.

Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems. (MN-24)

Автор: Nagel Alexander, Stein Elias M.
Название: Lectures on Pseudo-Differential Operators: Regularity Theorems and Applications to Non-Elliptic Problems. (MN-24)
ISBN: 0691601097 ISBN-13(EAN): 9780691601090
Издательство: Wiley
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Цена: 31680.00 T
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Описание: The theory of pseudo-differential operators (which originated as singular integral operators) was largely influenced by its application to function theory in one complex variable and regularity properties of solutions of elliptic partial differential equations. Given here is an exposition of some new classes of pseudo-differential operators relevan

Optimization in Elliptic Problems with Applications to Mechanics of Deformable Bodies and Fluid Mechanics

Автор: William G. Litvinov
Название: Optimization in Elliptic Problems with Applications to Mechanics of Deformable Bodies and Fluid Mechanics
ISBN: 3034895453 ISBN-13(EAN): 9783034895453
Издательство: Springer
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Цена: 139750.00 T
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Описание: This unique book presents a profound mathematical analysis of general optimization problems for elliptic systems, which are then applied to a great number of optimization problems in mechanics and technology. Accessible and self-contained, it is suitable as a textbook for graduate courses on optimization of elliptic systems.

Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems

Автор: J?rgen Fuhrmann; Mario Ohlberger; Christian Rohde
Название: Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems
ISBN: 3319055909 ISBN-13(EAN): 9783319055909
Издательство: Springer
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Цена: 149060.00 T
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Описание: The methods considered in the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) have properties which offer distinct advantages for a number of applications.

Wave Factorization of Elliptic Symbols: Theory and Applications

Автор: V. Vasil`ev
Название: Wave Factorization of Elliptic Symbols: Theory and Applications
ISBN: 0792365313 ISBN-13(EAN): 9780792365310
Издательство: Springer
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Цена: 81050.00 T
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Описание: Presents an approach to studying elliptic differential and integro-differential (pseudodifferential) equations and their boundary problems in non-smooth domains. This volume will be of interest to mathematicians, engineers, and physicists whose work involves partial differential equations, elasticity, viscoelasticity, and electromagnetic theory.

Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems

Автор: J?rgen Fuhrmann; Mario Ohlberger; Christian Rohde
Название: Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems
ISBN: 3319382888 ISBN-13(EAN): 9783319382883
Издательство: Springer
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Цена: 111790.00 T
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Описание: The methods considered in the 7th conference on "Finite Volumes for Complex Applications" (Berlin, June 2014) have properties which offer distinct advantages for a number of applications.

Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems

Автор: Choulli
Название: Applications of Elliptic Carleman Inequalities to Cauchy and Inverse Problems
ISBN: 331933641X ISBN-13(EAN): 9783319336411
Издательство: Springer
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Цена: 46570.00 T
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Описание: This book presents a unifiedapproach to studying the stability of both elliptic Cauchy problems and selectedinverse problems. Based on elementary Carleman inequalities, it establishesthree-ball inequalities, which are the key to deriving logarithmic stabilityestimates for elliptic Cauchy problems and are also useful in proving stabilityestimates for certain elliptic inverse problems. The book presents three inverseproblems, the first of which consists in determining the surface impedance ofan obstacle from the far field pattern. The second problem investigates the detectionof corrosion by electric measurement, while the third concerns thedetermination of an attenuation coefficient from internal data, which ismotivated by a problem encountered in biomedical imaging.

Elliptic Functions and Applications

Автор: Derek F. Lawden
Название: Elliptic Functions and Applications
ISBN: 0387969659 ISBN-13(EAN): 9780387969657
Издательство: Springer
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Цена: 144410.00 T
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Описание: Develops the fundamental properties of elliptic functions and illustrates them by applications in geometry, mathematical physics and engineering. This book employs the theory of functions of a complex variable as an analytical tool. It is suitable for mathematicians at various stages of an undergraduate or post-graduate course.

Guide to Elliptic Curve Cryptography

Автор: Darrel Hankerson; Alfred J. Menezes; Scott Vanston
Название: Guide to Elliptic Curve Cryptography
ISBN: 1441929290 ISBN-13(EAN): 9781441929297
Издательство: Springer
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Цена: 144410.00 T
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Описание:

After two decades of research and development, elliptic curve cryptography now has widespread exposure and acceptance. Industry, banking, and government standards are in place to facilitate extensive deployment of this efficient public-key mechanism.

Anchored by a comprehensive treatment of the practical aspects of elliptic curve cryptography (ECC), this guide explains the basic mathematics, describes state-of-the-art implementation methods, and presents standardized protocols for public-key encryption, digital signatures, and key establishment. In addition, the book addresses some issues that arise in software and hardware implementation, as well as side-channel attacks and countermeasures. Readers receive the theoretical fundamentals as an underpinning for a wealth of practical and accessible knowledge about efficient application.

Features & Benefits:

* Breadth of coverage and unified, integrated approach to elliptic curve cryptosystems

* Describes important industry and government protocols, such as the FIPS 186-2 standard from the U.S. National Institute for Standards and Technology

* Provides full exposition on techniques for efficiently implementing finite-field and elliptic curve arithmetic

* Distills complex mathematics and algorithms for easy understanding

* Includes useful literature references, a list of algorithms, and appendices on sample parameters, ECC standards, and software tools

This comprehensive, highly focused reference is a useful and indispensable resource for practitioners, professionals, or researchers in computer science, computer engineering, network design, and network data security.


Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems

Автор: Cl?ment Canc?s; Pascal Omnes
Название: Finite Volumes for Complex Applications VIII - Hyperbolic, Elliptic and Parabolic Problems
ISBN: 3319573934 ISBN-13(EAN): 9783319573939
Издательство: Springer
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Цена: 158380.00 T
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Описание:

This book is the second volume of proceedings of the 8th conference on "Finite Volumes for Complex Applications" (Lille, June 2017). It includes reviewed contributions reporting successful applications in the fields of fluid dynamics, computational geosciences, structural analysis, nuclear physics, semiconductor theory and other topics.

The finite volume method in its various forms is a space discretization technique for partial differential equations based on the fundamental physical principle of conservation, and recent decades have brought significant advances in the theoretical understanding of the method. Many finite volume methods preserve further qualitative or asymptotic properties, including maximum principles, dissipativity, monotone decay of free energy, and asymptotic stability. Due to these properties, finite volume methods belong to the wider class of compatible discretization methods, which preserve qualitative properties of continuous problems at the discrete level. This structural approach to the discretization of partial differential equations becomes particularly important for multiphysics and multiscale applications.

The book is useful for researchers, PhD and master's level students in numerical analysis, scientific computing and related fields such as partial differential equations, as well as for engineers working in numerical modeling and simulations.


Elliptic Functions and Applications

Автор: Derek F. Lawden
Название: Elliptic Functions and Applications
ISBN: 1441930906 ISBN-13(EAN): 9781441930903
Издательство: Springer
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Цена: 144410.00 T
Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: The subject matter of this book formed the substance of a mathematical se am which was worked by many of the great mathematicians of the last century.


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