Field Arithmetic
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Field Arithmetic
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Author : Michael D. Fried
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-04-09
Field Arithmetic written by Michael D. Fried and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-04-09 with Mathematics categories.
Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar measure on the absolute Galois group to replace counting arguments. New Chebotarev density variants interpret diophantine properties. Here we have the only complete treatment of Galois stratifications, used by Denef and Loeser, et al, to study Chow motives of Diophantine statements. Progress from the first edition starts by characterizing the finite-field like P(seudo)A(lgebraically)C(losed) fields. We once believed PAC fields were rare. Now we know they include valuable Galois extensions of the rationals that present its absolute Galois group through known groups. PAC fields have projective absolute Galois group. Those that are Hilbertian are characterized by this group being pro-free. These last decade results are tools for studying fields by their relation to those with projective absolute group. There are still mysterious problems to guide a new generation: Is the solvable closure of the rationals PAC; and do projective Hilbertian fields have pro-free absolute Galois group (includes Shafarevich's conjecture)? The third edition improves the second edition in two ways: First it removes many typos and mathematical inaccuracies that occur in the second edition (in particular in the references). Secondly, the third edition reports on five open problems (out of thirtyfour open problems of the second edition) that have been partially or fully solved since that edition appeared in 2005.
Field Arithmetic
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Author : Michael D. Fried
language : en
Publisher: Springer Science & Business Media
Release Date : 2005
Field Arithmetic written by Michael D. Fried and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Computers categories.
Field Arithmetic explores Diophantine fields through their absolute Galois groups. This largely self-contained treatment starts with techniques from algebraic geometry, number theory, and profinite groups. Graduate students can effectively learn generalizations of finite field ideas. We use Haar measure on the absolute Galois group to replace counting arguments. New Chebotarev density variants interpret diophantine properties. Here we have the only complete treatment of Galois stratifications, used by Denef and Loeser, et al, to study Chow motives of Diophantine statements. Progress from the first edition starts by characterizing the finite-field like P(seudo)A(lgebraically)C(losed) fields. We once believed PAC fields were rare. Now we know they include valuable Galois extensions of the rationals that present its absolute Galois group through known groups. PAC fields have projective absolute Galois group. Those that are Hilbertian are characterized by this group being pro-free. These last decade results are tools for studying fields by their relation to those with projective absolute group. There are still mysterious problems to guide a new generation: Is the solvable closure of the rationals PAC; and do projective Hilbertian fields have pro-free absolute Galois group (includes Shafarevich's conjecture)?
Function Field Arithmetic
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Author : Dinesh S. Thakur
language : en
Publisher: World Scientific
Release Date : 2004
Function Field Arithmetic written by Dinesh S. Thakur and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Mathematics categories.
This book provides an exposition of function field arithmetic withemphasis on recent developments concerning Drinfeld modules, thearithmetic of special values of transcendental functions (such as zetaand gamma functions and their interpolations), diophantineapproximation and related interesting open problems.
Basic Structures Of Function Field Arithmetic
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Author : David Goss
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Basic Structures Of Function Field Arithmetic written by David Goss and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
From the reviews:"The book...is a thorough and very readable introduction to the arithmetic of function fields of one variable over a finite field, by an author who has made fundamental contributions to the field. It serves as a definitive reference volume, as well as offering graduate students with a solid understanding of algebraic number theory the opportunity to quickly reach the frontiers of knowledge in an important area of mathematics...The arithmetic of function fields is a universe filled with beautiful surprises, in which familiar objects from classical number theory reappear in new guises, and in which entirely new objects play important roles. Goss'clear exposition and lively style make this book an excellent introduction to this fascinating field." MR 97i:11062
Word Hacks
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Author : Andrew Savikas
language : en
Publisher: "O'Reilly Media, Inc."
Release Date : 2004-11-22
Word Hacks written by Andrew Savikas and has been published by "O'Reilly Media, Inc." this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-11-22 with Computers categories.
As one of the applications in Microsoft Office, Word is the dominant word-processing program for both Windows and Mac users. Millions of people around the globe use it. But many, if not most, of them barely skim the surface of what is possible with Microsoft Word. Seduced by the application's supposed simplicity, they settle for just what's obvious--even if it doesn't satisfy their wants and needs. They may curse the wretched Bullets and Numbering buttons multiple times a day or take hours to change the font size of every heading in a lengthy report, yet they're reluctant to dig deeper to take advantage of Word's immense capabilities and limitless customization tools.Let Word Hacks be your shovel. Let it carve your way into Word and make this most popular and powerful application do precisely what you want it to do. Filled with insider tips, tools, tricks, and hacks, this book will turn you into the power user you always wanted to be. Far beyond a tutorial, Word Hacks assumes you have a solid working knowledge of the application and focuses on showing you exactly how to accomplish your pressing tasks, address your frequent annoyances, and solve even your most complex problems.Author Andrew Savikas examines Word's advanced (and often hidden) features and delivers clever, time-saving hacks on taming document bloat, customization, complex search and replace, Tables of Contents and indexes, importing and exporting files, tables and comments, and even using Google as a dictionary! With him as your guide, you'll soon be understanding--and hacking--Word in ways you never thought possible.Covering Word 2000, 2002 and Word 2003, Word Hacks exposes the inner workings of Word and releases your inner hacker; with it, you will be equipped to take advantage of the application s staggering array of advanced features that were once found only in page layout programs and graphics software and turning Word into your personal productivity powerhouse.
Guide To Pairing Based Cryptography
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Author : Nadia El Mrabet
language : en
Publisher: CRC Press
Release Date : 2017-01-06
Guide To Pairing Based Cryptography written by Nadia El Mrabet and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-01-06 with Computers categories.
This book is devoted to efficient pairing computations and implementations, useful tools for cryptographers working on topics like identity-based cryptography and the simplification of existing protocols like signature schemes. As well as exploring the basic mathematical background of finite fields and elliptic curves, Guide to Pairing-Based Cryptography offers an overview of the most recent developments in optimizations for pairing implementation. Each chapter includes a presentation of the problem it discusses, the mathematical formulation, a discussion of implementation issues, solutions accompanied by code or pseudocode, several numerical results, and references to further reading and notes. Intended as a self-contained handbook, this book is an invaluable resource for computer scientists, applied mathematicians and security professionals interested in cryptography.
Hardware Implementation Of Finite Field Arithmetic
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Author : Jean-Pierre Deschamps
language : en
Publisher: McGraw Hill Professional
Release Date : 2009-01-14
Hardware Implementation Of Finite Field Arithmetic written by Jean-Pierre Deschamps and has been published by McGraw Hill Professional this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-14 with Technology & Engineering categories.
Implement Finite-Field Arithmetic in Specific Hardware (FPGA and ASIC) Master cutting-edge electronic circuit synthesis and design with help from this detailed guide. Hardware Implementation of Finite-Field Arithmetic describes algorithms and circuits for executing finite-field operations, including addition, subtraction, multiplication, squaring, exponentiation, and division. This comprehensive resource begins with an overview of mathematics, covering algebra, number theory, finite fields, and cryptography. The book then presents algorithms which can be executed and verified with actual input data. Logic schemes and VHDL models are described in such a way that the corresponding circuits can be easily simulated and synthesized. The book concludes with a real-world example of a finite-field application--elliptic-curve cryptography. This is an essential guide for hardware engineers involved in the development of embedded systems. Get detailed coverage of: Modulo m reduction Modulo m addition, subtraction, multiplication, and exponentiation Operations over GF(p) and GF(pm) Operations over the commutative ring Zp[x]/f(x) Operations over the binary field GF(2m) using normal, polynomial, dual, and triangular
Advances In Information Security And Assurance
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Author : James (Jong Hyuk) Park
language : en
Publisher: Springer
Release Date : 2009-06-18
Advances In Information Security And Assurance written by James (Jong Hyuk) Park and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-18 with Computers categories.
Welcome to the Third International Conference on Information Security and Ass- ance (ISA 2009). ISA 2009 was the most comprehensive conference focused on the various aspects of advances in information security and assurance. The concept of security and assurance is emerging rapidly as an exciting new paradigm to provide reliable and safe life services. Our conference provides a chance for academic and industry professionals to discuss recent progress in the area of communication and networking including modeling, simulation and novel applications associated with the utilization and acceptance of computing devices and systems. ISA 2009 was a succ- sor of the First International Workshop on Information Assurance in Networks (IAN 2007, Jeju-island, Korea, December, 2007), and the Second International Conference on Information Security and Assurance (ISA 2008, Busan, Korea, April 2008). The goal of this conference is to bring together researchers from academia and industry as well as practitioners to share ideas, problems and solutions relating to the multifaceted aspects of information technology. ISA 2009 contained research papers submitted by researchers from all over the world. In order to guarantee high-quality proceedings, we put extensive effort into reviewing the papers. All submissions were peer reviewed by at least three Program Committee members as well as external reviewers. As the quality of the submissions was quite high, it was extremely difficult to select the papers for oral presentation and publication in the proceedings of the conference.
Smart Card Research And Advanced Applications
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Author : Josep Domingo-Ferrer
language : en
Publisher: Springer Science & Business Media
Release Date : 2000
Smart Card Research And Advanced Applications written by Josep Domingo-Ferrer and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000 with Smart cards categories.
Digital Media Processing
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Author : Hazarathaiah Malepati
language : en
Publisher: Newnes
Release Date : 2010-06-25
Digital Media Processing written by Hazarathaiah Malepati and has been published by Newnes this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-06-25 with Computers categories.
Multimedia processing demands efficient programming in order to optimize functionality. Data, image, audio, and video processing, some or all of which are present in all electronic devices today, are complex programming environments. Optimized algorithms (step-by-step directions) are difficult to create but can make all the difference when developing a new application.This book discusses the most current algorithms available that will maximize your programming keeping in mind the memory and real-time constraints of the architecture with which you are working. A wide range of algorithms is covered detailing basic and advanced multimedia implementations, along with, cryptography, compression, and data error correction. The general implementation concepts can be integrated into many architectures that you find yourself working with on a specific project. Analog Devices' BlackFin technology is used for examples throughout the book. - Discusses how to decrease algorithm development times to streamline your programming - Covers all the latest algorithms needed for contrained systems - Includes case studies on WiMAX, GPS, and portable media players