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The Mimetic Finite Difference Method for Elliptic Problems (MS&A)
The Mimetic Finite Difference Method for Elliptic Problems (MS&A)

This book describes the theoretical and computational aspects of the mimetic finite difference method for a wide class of multidimensional elliptic problems, which includes diffusion, advection-diffusion, Stokes, elasticity, magnetostatics and plate bending problems. The modern mimetic discretization technology developed in part by the...

Oscillation Theory of Partial Differential Equations
Oscillation Theory of Partial Differential Equations

This unique book is designed to provide the reader with an exposition of interesting aspects -- encompassing both rudimentary and advanced knowledge -- of oscillation theory of partial differential equations, which dates back to the publication in 1955 of a paper by Ph Hartman and A Wintner. The objective of oscillation theory is to acquire...

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...

Numerical Methods for Elliptic and Parabolic Partial Differential Equations (Texts in Applied Mathematics)
Numerical Methods for Elliptic and Parabolic Partial Differential Equations (Texts in Applied Mathematics)
This book resulted from lectures given at the University of Erlangen–
Nuremberg and at the University of Magdeburg. On these occasions we
often had to deal with the problem of a heterogeneous audience composed
of students of mathematics and of different natural or engineering sciences.

Thus the expectations of the
...
Internet Security: Cryptographic Principles, Algorithms and Protocols
Internet Security: Cryptographic Principles, Algorithms and Protocols
Cryptography is the key to securing the Internet

If every communication network were to use a secure system based on encryption, then viruses, worms and hackers would have a very hard time. Unfortunately, this scenario does not reflect the reality of the Internet world today. However, with security issues becoming more and more important...

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...

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....
Number Theory for Computing
Number Theory for Computing
There are many surprising connections between the theory of numbers, which is one of the oldest branches of mathematics, and computing and information theory. Number theory has important applications in computer organization and security, coding and cryptography, random number generation, hash functions, and graphics. Conversely, number theorists...
104 Number Theory Problems: From the Training of the USA IMO Team
104 Number Theory Problems: From the Training of the USA IMO Team
This challenging problem book by renowned US Olympiad coaches, mathematics teachers, and researchers develops a multitude of problem-solving skills needed to excel in mathematical contests and research in number theory. Offering inspiration and intellectual delight, the problems throughout the book encourage students to express their ideas,...
Operator Theory and Numerical Methods (Studies in Mathematics and its Applications)
Operator Theory and Numerical Methods (Studies in Mathematics and its Applications)
The authors provide a very sharp theoretical study of numerical methods used to solve partial diferential equations of elliptic and parabolic type. Every numerical scheme is thoroughly dissected. As a whole, everything fits together in a harmonious way.

The book is efficiently organized and each chapter concludes with a very informative
...
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...

Selected Topics in Approximation and Computation (International Series of Monographs on Computer Science)
Selected Topics in Approximation and Computation (International Series of Monographs on Computer Science)
". . .well written and well organized. . .It contains many exercises and can be used as a textbook in an advanced course on topics in approximation theory. . . .The book has a nice blend of theory and applications and should make a valuable reference book to researchers as well as teachers."--Mathematical Reviews

"The
...
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