[PDF] Number Theory For Computing Download

Number Theory for Computing PDF
Author: Song Y. Yan
Publisher: Springer Science & Business Media
Release Date: 2013-03-09
Size: 75.72 MB
Format: PDF, Docs
Category : Computers
Languages : en
Pages : 381
View: 5823

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Number Theory For Computing

Book by Song Y. Yan, Number Theory For Computing Books available in PDF, EPUB, Mobi Format. Download Number Theory For Computing books, Taking readers from elementary number theory, via algorithmic, to applied number theory in computer science, this text introduces basic concepts, results, and methods, before going on to discuss their applications in the design of hardware and software, cryptography, and security. Aimed at undergraduates in computing and information technology, and presupposing only high-school math, this book will also interest mathematics students concerned with applications. XXXXXXX Neuer Text This is an essential introduction to number theory for computer scientists. It treats three areas, elementary-, algorithmic-, and applied number theory in a unified and accessible manner. It introduces basic concepts and methods, and discusses their applications to the design of hardware, software, cryptography, and information security. Aimed at computer scientists, electrical engineers and students the presentation presupposes only an understanding of high-school math.




[PDF] Quantum Computational Number Theory Download

Quantum Computational Number Theory PDF
Author: Song Y. Yan
Publisher: Springer
Release Date: 2015-12-26
Size: 32.26 MB
Format: PDF, ePub, Mobi
Category : Computers
Languages : en
Pages : 252
View: 1322

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Quantum Computational Number Theory

Book by Song Y. Yan, Quantum Computational Number Theory Books available in PDF, EPUB, Mobi Format. Download Quantum Computational Number Theory books, This book provides a comprehensive introduction to advanced topics in the computational and algorithmic aspects of number theory, focusing on applications in cryptography. Readers will learn to develop fast algorithms, including quantum algorithms, to solve various classic and modern number theoretic problems. Key problems include prime number generation, primality testing, integer factorization, discrete logarithms, elliptic curve arithmetic, conjecture and numerical verification. The author discusses quantum algorithms for solving the Integer Factorization Problem (IFP), the Discrete Logarithm Problem (DLP), and the Elliptic Curve Discrete Logarithm Problem (ECDLP) and for attacking IFP, DLP and ECDLP based cryptographic systems. Chapters also cover various other quantum algorithms for Pell's equation, principal ideal, unit group, class group, Gauss sums, prime counting function, Riemann's hypothesis and the BSD conjecture. Quantum Computational Number Theory is self-contained and intended to be used either as a graduate text in computing, communications and mathematics, or as a basic reference in the related fields. Number theorists, cryptographers and professionals working in quantum computing, cryptography and network security will find this book a valuable asset.




[PDF] Number Theory Download

Number Theory PDF
Author: Don Redmond
Publisher: CRC Press
Release Date: 1996-04-23
Size: 43.98 MB
Format: PDF, Mobi
Category : Mathematics
Languages : en
Pages : 772
View: 7501

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Number Theory

Book by Don Redmond, Number Theory Books available in PDF, EPUB, Mobi Format. Download Number Theory books, This text provides a detailed introduction to number theory, demonstrating how other areas of mathematics enter into the study of the properties of natural numbers. It contains problem sets within each section and at the end of each chapter to reinforce essential concepts, and includes up-to-date information on divisibility problems, polynomial congruence, the sums of squares and trigonometric sums.;Five or more copies may be ordered by college or university bookstores at a special price, available on application.




[PDF] Computational Number Theory Download

Computational Number Theory PDF
Author: Abhijit Das
Publisher: CRC Press
Release Date: 2016-04-19
Size: 44.22 MB
Format: PDF, ePub
Category : Computers
Languages : en
Pages : 614
View: 6520

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Computational Number Theory

Book by Abhijit Das, Computational Number Theory Books available in PDF, EPUB, Mobi Format. Download Computational Number Theory books, Developed from the author’s popular graduate-level course, Computational Number Theory presents a complete treatment of number-theoretic algorithms. Avoiding advanced algebra, this self-contained text is designed for advanced undergraduate and beginning graduate students in engineering. It is also suitable for researchers new to the field and practitioners of cryptography in industry. Requiring no prior experience with number theory or sophisticated algebraic tools, the book covers many computational aspects of number theory and highlights important and interesting engineering applications. It first builds the foundation of computational number theory by covering the arithmetic of integers and polynomials at a very basic level. It then discusses elliptic curves, primality testing, algorithms for integer factorization, computing discrete logarithms, and methods for sparse linear systems. The text also shows how number-theoretic tools are used in cryptography and cryptanalysis. A dedicated chapter on the application of number theory in public-key cryptography incorporates recent developments in pairing-based cryptography. With an emphasis on implementation issues, the book uses the freely available number-theory calculator GP/PARI to demonstrate complex arithmetic computations. The text includes numerous examples and exercises throughout and omits lengthy proofs, making the material accessible to students and practitioners.




[PDF] Algorithmic Number Theory Download

Algorithmic Number Theory PDF
Author: J.P. Buhler
Publisher: Cambridge University Press
Release Date: 2008-10-20
Size: 40.18 MB
Format: PDF
Category : Computers
Languages : en
Pages : 652
View: 7728

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Algorithmic Number Theory

Book by J.P. Buhler, Algorithmic Number Theory Books available in PDF, EPUB, Mobi Format. Download Algorithmic Number Theory books, Number theory is one of the oldest and most appealing areas of mathematics. Computation has always played a role in number theory, a role which has increased dramatically in the last 20 or 30 years, both because of the advent of modern computers, and because of the discovery of surprising and powerful algorithms. As a consequence, algorithmic number theory has gradually emerged as an important and distinct field with connections to computer science and cryptography as well as other areas of mathematics. This text provides a comprehensive introduction to algorithmic number theory for beginning graduate students, written by the leading experts in the field. It includes several articles that cover the essential topics in this area, and in addition, there are contributions pointing in broader directions, including cryptography, computational class field theory, zeta functions and L-series, discrete logarithm algorithms, and quantum computing.




[PDF] A Course In Computational Algebraic Number Theory Download

A Course in Computational Algebraic Number Theory PDF
Author: Henri Cohen
Publisher: Springer Science & Business Media
Release Date: 2013-04-17
Size: 54.31 MB
Format: PDF, ePub, Mobi
Category : Mathematics
Languages : en
Pages : 536
View: 366

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A Course In Computational Algebraic Number Theory

Book by Henri Cohen, A Course In Computational Algebraic Number Theory Books available in PDF, EPUB, Mobi Format. Download A Course In Computational Algebraic Number Theory books, A description of 148 algorithms fundamental to number-theoretic computations, in particular for computations related to algebraic number theory, elliptic curves, primality testing and factoring. The first seven chapters guide readers to the heart of current research in computational algebraic number theory, including recent algorithms for computing class groups and units, as well as elliptic curve computations, while the last three chapters survey factoring and primality testing methods, including a detailed description of the number field sieve algorithm. The whole is rounded off with a description of available computer packages and some useful tables, backed by numerous exercises. Written by an authority in the field, and one with great practical and teaching experience, this is certain to become the standard and indispensable reference on the subject.




[PDF] Set Theory For Computing Download

Set Theory for Computing PDF
Author: Domenico Cantone
Publisher: Springer Science & Business Media
Release Date: 2001-06-26
Size: 43.20 MB
Format: PDF, ePub
Category : Computers
Languages : en
Pages : 409
View: 6518

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Set Theory For Computing

Book by Domenico Cantone, Set Theory For Computing Books available in PDF, EPUB, Mobi Format. Download Set Theory For Computing books, An up-to-date and comprehensive account of set-oriented symbolic manipulation and automated reasoning methods. This book is of interest to graduates and researchers in theoretical computer science and computational logic and automated reasoning.




[PDF] The Unreasonable Effectiveness Of Number Theory Download

The Unreasonable Effectiveness of Number Theory PDF
Author: Stefan Andrus Burr
Publisher: American Mathematical Soc.
Release Date: 1992
Size: 10.81 MB
Format: PDF
Category : Mathematics
Languages : en
Pages : 125
View: 2594

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The Unreasonable Effectiveness Of Number Theory

Book by Stefan Andrus Burr, The Unreasonable Effectiveness Of Number Theory Books available in PDF, EPUB, Mobi Format. Download The Unreasonable Effectiveness Of Number Theory books, This book is based on the AMS Short Course, The Unreasonable Effectiveness of Number Theory, held in Orono, Maine, in August 1991. This Short Course provided some views into the great breadth of applications of number theory outside cryptology and highlighted the power and applicability of number-theoretic ideas. Because number theory is one of the most accessible areas of mathematics, this book will appeal to a general mathematical audience as well as to researchers in other areas of science and engineering who wish to learn how number theory is being applied outside of mathematics. All of the chapters are written by leading specialists in number theory and provides excellent introduction to various applications.




[PDF] Computational Algebraic Number Theory Download

Computational Algebraic Number Theory PDF
Author: M.E. Pohst
Publisher: Springer Science & Business Media
Release Date: 1993-09
Size: 18.21 MB
Format: PDF, ePub, Docs
Category : Juvenile Nonfiction
Languages : en
Pages : 88
View: 6220

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Computational Algebraic Number Theory

Book by M.E. Pohst, Computational Algebraic Number Theory Books available in PDF, EPUB, Mobi Format. Download Computational Algebraic Number Theory books, Computational algebraic number theory has been attracting broad interest in the last few years due to its potential applications in coding theory and cryptography. For this reason, the Deutsche Mathematiker-Vereinigung initiated an introductory graduate seminar on this topic in Dusseldorf. The lectures given there by the author served as the basis for this book which allows fast access to the state of the art in this area. Special emphasis has been placed on practical algorithms - all developed in the last five years - for the computation of integral bases, the unit group and the class group of arbitrary algebraic number fields. The workshops organized by the Gesselschaft fur mathematische Forschung in cooperation with the Deutsche Mathematiker-Vereinigung (German Mathematics Society) are intended to help, in particular, students and younger mathematicians, to obtain an introduction to fields of current research. Through the means of these well-organized seminars, scientists from other fields can also be introduced to new mathematical ideas. The publication of these workshops in the series DMV SEMINAR will make the material available to an even larger audience.




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