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Encyclopedia of Cryptography and Security
Encyclopedia of Cryptography and Security

Expanded into two volumes, the Second Edition of Springer’s Encyclopedia of Cryptography and Security brings the latest and most comprehensive coverage of the topic: Definitive information on cryptography and information security from highly regarded researchers Effective tool for professionals in many fields and researchers of all...

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...

Partial Differential Equations: Vol. 1 Foundations and Integral Representations (Universitext)
Partial Differential Equations: Vol. 1 Foundations and Integral Representations (Universitext)
From the reviews:

"Friedrich Sauvigny's remarkable two-volume opus constitutes the author's attempt to treat the beautiful and difficult subject of PDEs in a thorough and instructive way. is a fine place to learn PDEs with the goal of doing serious work in the field. Friedrich Sauvigny's scholarship is exemplary and thorough; at the same...

Partial Differential Equations 2: Functional Analytic Methods (Universitext)
Partial Differential Equations 2: Functional Analytic Methods (Universitext)
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...

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...

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

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...

Encyclopedia of Cryptography and Security
Encyclopedia of Cryptography and Security

This comprehensive encyclopedia provides easy access to information on all aspects of cryptography and security. With an A–Z format of over 460 entries, 100+ international experts provide an accessible reference for those seeking entry into any aspect of the broad fields of cryptography and information security. Most entries in this...

Nonlinear Partial Differential Equations with Applications (International Series of Numerical Mathematics)
Nonlinear Partial Differential Equations with Applications (International Series of Numerical Mathematics)

This book primarily concerns quasilinear and semilinear elliptic and parabolic partial differential equations, inequalities, and systems. The exposition leads the reader through the general theory based on abstract (pseudo-) monotone or accretive operators as fast as possible towards the analysis of concrete differential equations, which have...

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...

Elliptic Curves (Graduate Texts in Mathematics)
Elliptic Curves (Graduate Texts in Mathematics)
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)
Theory of Sobolev Multipliers: With Applications to Differential and Integral Operators (Grundlehren der mathematischen Wissenschaften)
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...

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