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| Author | : Tanush Shaska |
| Publisher | : IOS Press |
| Total Pages | : 296 |
| Release | : 2009 |
| Genre | : Computers |
| ISBN | : 1607500191 |
-Proceedings of the NATO Advanced Study Institute on New Challenges in Digital Communications, Vlora, Albania, 27 April - 9 May 2008.---T.p. verso.
| Author | : Ron Donagi |
| Publisher | : Cambridge University Press |
| Total Pages | : 537 |
| Release | : 2020-03-02 |
| Genre | : Mathematics |
| ISBN | : 110871577X |
A collection of articles discussing integrable systems and algebraic geometry from leading researchers in the field.
| Author | : Ron Donagi |
| Publisher | : Cambridge University Press |
| Total Pages | : 537 |
| Release | : 2020-04-02 |
| Genre | : Mathematics |
| ISBN | : 1108805337 |
Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as her collaborators, students, or colleagues. The diverse articles in the book demonstrate the wide scope of Previato's work and the inclusion of several survey and introductory articles makes the text accessible to graduate students and non-experts, as well as researchers. The articles in this second volume discuss areas related to algebraic geometry, emphasizing the connections of this central subject to integrable systems, arithmetic geometry, Riemann surfaces, coding theory and lattice theory.
| Author | : Ron Donagi |
| Publisher | : Cambridge University Press |
| Total Pages | : 421 |
| Release | : 2020-04-02 |
| Genre | : Mathematics |
| ISBN | : 110880358X |
Created as a celebration of mathematical pioneer Emma Previato, this comprehensive book highlights the connections between algebraic geometry and integrable systems, differential equations, mathematical physics, and many other areas. The authors, many of whom have been at the forefront of research into these topics for the last decades, have all been influenced by Previato's research, as her collaborators, students, or colleagues. The diverse articles in the book demonstrate the wide scope of Previato's work and the inclusion of several survey and introductory articles makes the text accessible to graduate students and non-experts, as well as researchers. This first volume covers a wide range of areas related to integrable systems, often emphasizing the deep connections with algebraic geometry. Common themes include theta functions and Abelian varieties, Lax equations, integrable hierarchies, Hamiltonian flows and difference operators. These powerful tools are applied to spinning top, Hitchin, Painleve and many other notable special equations.
| Author | : Kevin Broughan |
| Publisher | : Cambridge University Press |
| Total Pages | : 513 |
| Release | : 2017-11-02 |
| Genre | : Mathematics |
| ISBN | : 1108187021 |
The Riemann hypothesis (RH) is perhaps the most important outstanding problem in mathematics. This two-volume text presents the main known equivalents to RH using analytic and computational methods. The book is gentle on the reader with definitions repeated, proofs split into logical sections, and graphical descriptions of the relations between different results. It also includes extensive tables, supplementary computational tools, and open problems suitable for research. Accompanying software is free to download. These books will interest mathematicians who wish to update their knowledge, graduate and senior undergraduate students seeking accessible research problems in number theory, and others who want to explore and extend results computationally. Each volume can be read independently. Volume 1 presents classical and modern arithmetic equivalents to RH, with some analytic methods. Volume 2 covers equivalences with a strong analytic orientation, supported by an extensive set of appendices containing fully developed proofs.
| Author | : Carlos Cid |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 145 |
| Release | : 2006-11-24 |
| Genre | : Computers |
| ISBN | : 0387368426 |
The Belgian block cipher Rijndael was chosen in 2000 by the U.S. government’s National Institute of Standards and Technology (NIST) to be the successor to the Data Encryption Standard. Rijndael was subsequently standardized as the Advanced Encryption Standard (AES), which is potentially the world’s most important block cipher. In 2002, some new analytical techniques were suggested that may have a dramatic effect on the security of the AES. Existing analytical techniques for block ciphers depend heavily on a statistical approach, whereas these new techniques are algebraic in nature. Algebraic Aspects of the Advanced Encryption Standard, appearing five years after publication of the AES, presents the state of the art for the use of such algebraic techniques in analyzing the AES. The primary audience for this work includes academic and industry researchers in cryptology; the book is also suitable for advanced-level students.
| Author | : Richard E. Blahut |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 150 |
| Release | : 2012-12-06 |
| Genre | : Technology & Engineering |
| ISBN | : 1461228263 |
Algorithms for computation are a central part of both digital signal pro cessing and decoders for error-control codes and the central algorithms of the two subjects share many similarities. Each subject makes extensive use of the discrete Fourier transform, of convolutions, and of algorithms for the inversion of Toeplitz systems of equations. Digital signal processing is now an established subject in its own right; it no longer needs to be viewed as a digitized version of analog signal process ing. Algebraic structures are becoming more important to its development. Many of the techniques of digital signal processing are valid in any algebraic field, although in most cases at least part of the problem will naturally lie either in the real field or the complex field because that is where the data originate. In other cases the choice of field for computations may be up to the algorithm designer, who usually chooses the real field or the complex field because of familiarity with it or because it is suitable for the particular application. Still, it is appropriate to catalog the many algebraic fields in a way that is accessible to students of digital signal processing, in hopes of stimulating new applications to engineering tasks.
| Author | : Peter Seibt |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 446 |
| Release | : 2007-02-15 |
| Genre | : Computers |
| ISBN | : 3540332197 |
Algorithmic Information Theory treats the mathematics of many important areas in digital information processing. It has been written as a read-and-learn book on concrete mathematics, for teachers, students and practitioners in electronic engineering, computer science and mathematics. The presentation is dense, and the examples and exercises are numerous. It is based on lectures on information technology (Data Compaction, Cryptography, Polynomial Coding) for engineers.
| Author | : Malek Benslama |
| Publisher | : John Wiley & Sons |
| Total Pages | : 240 |
| Release | : 2016-07-18 |
| Genre | : Technology & Engineering |
| ISBN | : 1848219253 |
This book addresses the move towards quantum communications, in light of the recent technological developments on photonic crystals and their potential applications in systems. The authors present the state of the art on extensive quantum communications, the first part of the book being dedicated to the relevant theory; quantum gates such as Deutsch gates, Toffoli gates and Dedekind gates are reviewed with regards to their feasibility as electronic circuits and their implementation in systems, and a comparison is performed in parallel with conventional circuits such as FPGAs and DSPs. The specifics of quantum communication are also revealed through the entanglement and Bell states, and mathematical and physical aspects of quantum optical fibers and photonic crystals are considered in order to optimize the quantum transmissions. These concepts are linked with relevant, practical examples in the second part of the book, which presents six integrated applications for quantum communications.
| Author | : Susana Carreira |
| Publisher | : Springer |
| Total Pages | : 269 |
| Release | : 2016-02-19 |
| Genre | : Education |
| ISBN | : 331924910X |
This book contributes to both mathematical problem solving and the communication of mathematics by students, and the role of personal and home technologies in learning beyond school. It does this by reporting on major results and implications of the Problem@Web project that investigated youngsters’ mathematical problem solving and, in particular, their use of digital technologies in tackling, and communicating the results of their problem solving, in environments beyond school. The book has two focuses: Mathematical problem solving skills and strategies, forms of representing and expressing mathematical thinking, technological-based solutions; and students ́ and teachers ́ perspectives on mathematics learning, especially school compared to beyond-school mathematics.
