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Tables Of Indices And Primitive Roots By Ae Western And Jcp Miller
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Book Synopsis Tables of indices and primitive roots, by A.E. Western and J.C.P. Miller by : A. E. Western
Download or read book Tables of indices and primitive roots, by A.E. Western and J.C.P. Miller written by A. E. Western and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Royal Society Mathematical Tables by : Royal Society (Great Britain)
Download or read book Royal Society Mathematical Tables written by Royal Society (Great Britain) and published by . This book was released on 1968 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Tables of Indices and Primitive Roots by : A. E. Western
Download or read book Tables of Indices and Primitive Roots written by A. E. Western and published by . This book was released on 1968 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis A Handbook of Integer Sequences by : N.J.A. Sloane
Download or read book A Handbook of Integer Sequences written by N.J.A. Sloane and published by Academic Press. This book was released on 2014-05-10 with total page 221 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Handbook of Integer Sequences contains a main table of 2300 sequences of integers that are collected from all branches of mathematics and science. This handbook describes how to use the main table and provides methods for analyzing and describing unknown and important sequences. This compilation also serves as an index to the literature for locating references on a particular problem and quickly finds numbers such as 712, number of partitions of 30, 18th Catalan number, or expansion of ? to 60 decimal places. Other topics include the method of differences, self-generating sequences, polyominoes, permutations, and puzzle sequences. This publication is a good source for students and researchers who are confronted with strange and important sequences.
Book Synopsis Table of All Primitive Roots for Primes Less Than 5000 by : Herbert Aaron Hauptman
Download or read book Table of All Primitive Roots for Primes Less Than 5000 written by Herbert Aaron Hauptman and published by . This book was released on 1970 with total page 604 pages. Available in PDF, EPUB and Kindle. Book excerpt: Although primitive roots have played an important role in the development of the classical theory of numbers, knowledge of their distribution is still limited. The Naval Research Laboratory has produced and publishes herein a table of all the primitive roots of the primes less than 5000, the most extensive tabulation of its kind now available. Also presented are a description of its construction and a brief historical account of a number of conjectures and several recent results. (Author).
Book Synopsis Mathematical Tables by : A. E. Western
Download or read book Mathematical Tables written by A. E. Western and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis An Introduction to Mathematical Cryptography by : Jeffrey Hoffstein
Download or read book An Introduction to Mathematical Cryptography written by Jeffrey Hoffstein and published by Springer. This book was released on 2014-09-11 with total page 549 pages. Available in PDF, EPUB and Kindle. Book excerpt: This self-contained introduction to modern cryptography emphasizes the mathematics behind the theory of public key cryptosystems and digital signature schemes. The book focuses on these key topics while developing the mathematical tools needed for the construction and security analysis of diverse cryptosystems. Only basic linear algebra is required of the reader; techniques from algebra, number theory, and probability are introduced and developed as required. This text provides an ideal introduction for mathematics and computer science students to the mathematical foundations of modern cryptography. The book includes an extensive bibliography and index; supplementary materials are available online. The book covers a variety of topics that are considered central to mathematical cryptography. Key topics include: classical cryptographic constructions, such as Diffie–Hellmann key exchange, discrete logarithm-based cryptosystems, the RSA cryptosystem, and digital signatures; fundamental mathematical tools for cryptography, including primality testing, factorization algorithms, probability theory, information theory, and collision algorithms; an in-depth treatment of important cryptographic innovations, such as elliptic curves, elliptic curve and pairing-based cryptography, lattices, lattice-based cryptography, and the NTRU cryptosystem. The second edition of An Introduction to Mathematical Cryptography includes a significant revision of the material on digital signatures, including an earlier introduction to RSA, Elgamal, and DSA signatures, and new material on lattice-based signatures and rejection sampling. Many sections have been rewritten or expanded for clarity, especially in the chapters on information theory, elliptic curves, and lattices, and the chapter of additional topics has been expanded to include sections on digital cash and homomorphic encryption. Numerous new exercises have been included.
Book Synopsis Cryptology and Computational Number Theory by : Carl Pomerance
Download or read book Cryptology and Computational Number Theory written by Carl Pomerance and published by American Mathematical Soc.. This book was released on 1990 with total page 188 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the past dozen or so years, cryptology and computational number theory have become increasingly intertwined. Because the primary cryptologic application of number theory is the apparent intractability of certain computations, these two fields could part in the future and again go their separate ways. But for now, their union is continuing to bring ferment and rapid change in both subjects. This book contains the proceedings of an AMS Short Course in Cryptology and Computational Number Theory, held in August 1989 during the Joint Mathematics Meetings in Boulder, Colorado. These eight papers by six of the top experts in the field will provide readers with a thorough introduction to some of the principal advances in cryptology and computational number theory over the past fifteen years. In addition to an extensive introductory article, the book contains articles on primality testing, discrete logarithms, integer factoring, knapsack cryptosystems, pseudorandom number generators, the theoretical underpinnings of cryptology, and other number theory-based cryptosystems. Requiring only background in elementary number theory, this book is aimed at nonexperts, including graduate students and advanced undergraduates in mathematics and computer science.
Book Synopsis Binary Quadratic Forms by : Johannes Buchmann
Download or read book Binary Quadratic Forms written by Johannes Buchmann and published by Springer Science & Business Media. This book was released on 2007-06-22 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book deals with algorithmic problems related to binary quadratic forms. It uniquely focuses on the algorithmic aspects of the theory. The book introduces the reader to important areas of number theory such as diophantine equations, reduction theory of quadratic forms, geometry of numbers and algebraic number theory. The book explains applications to cryptography and requires only basic mathematical knowledge. The author is a world leader in number theory.
Download or read book Number Theory written by W.A. Coppel and published by Springer Science & Business Media. This book was released on 2006-06-12 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume book is a modern introduction to the theory of numbers, emphasizing its connections with other branches of mathematics. Part A is accessible to first-year undergraduates and deals with elementary number theory. Part B is more advanced and gives the reader an idea of the scope of mathematics today. The connecting theme is the theory of numbers. By exploring its many connections with other branches a broad picture is obtained. The book contains a treasury of proofs, several of which are gems seldom seen in number theory books.
Book Synopsis Fundamentals of Number Theory by : William J. LeVeque
Download or read book Fundamentals of Number Theory written by William J. LeVeque and published by Courier Corporation. This book was released on 2014-01-05 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This excellent textbook introduces the basics of number theory, incorporating the language of abstract algebra. A knowledge of such algebraic concepts as group, ring, field, and domain is not assumed, however; all terms are defined and examples are given — making the book self-contained in this respect. The author begins with an introductory chapter on number theory and its early history. Subsequent chapters deal with unique factorization and the GCD, quadratic residues, number-theoretic functions and the distribution of primes, sums of squares, quadratic equations and quadratic fields, diophantine approximation, and more. Included are discussions of topics not always found in introductory texts: factorization and primality of large integers, p-adic numbers, algebraic number fields, Brun's theorem on twin primes, and the transcendence of e, to mention a few. Readers will find a substantial number of well-chosen problems, along with many notes and bibliographical references selected for readability and relevance. Five helpful appendixes — containing such study aids as a factor table, computer-plotted graphs, a table of indices, the Greek alphabet, and a list of symbols — and a bibliography round out this well-written text, which is directed toward undergraduate majors and beginning graduate students in mathematics. No post-calculus prerequisite is assumed. 1977 edition.
Book Synopsis Algorithmic Number Theory: Efficient algorithms by : Eric Bach
Download or read book Algorithmic Number Theory: Efficient algorithms written by Eric Bach and published by MIT Press. This book was released on 1996 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Volume 1.
Book Synopsis Tables of Indices and Primitive Roots by : A. E. Western
Download or read book Tables of Indices and Primitive Roots written by A. E. Western and published by . This book was released on 1968 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Topics in Computational Number Theory Inspired by Peter L. Montgomery by : Joppe W. Bos
Download or read book Topics in Computational Number Theory Inspired by Peter L. Montgomery written by Joppe W. Bos and published by Cambridge University Press. This book was released on 2017-10-12 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Peter L. Montgomery has made significant contributions to computational number theory, introducing many basic tools such as Montgomery multiplication, Montgomery simultaneous inversion, Montgomery curves, and the Montgomery ladder. This book features state-of-the-art research in computational number theory related to Montgomery's work and its impact on computational efficiency and cryptography. Topics cover a wide range of topics such as Montgomery multiplication for both hardware and software implementations; Montgomery curves and twisted Edwards curves as proposed in the latest standards for elliptic curve cryptography; and cryptographic pairings. This book provides a comprehensive overview of integer factorization techniques, including dedicated chapters on polynomial selection, the block Lanczos method, and the FFT extension for algebraic-group factorization algorithms. Graduate students and researchers in applied number theory and cryptography will benefit from this survey of Montgomery's work.
Book Synopsis Guide to Pairing-Based Cryptography by : Nadia El Mrabet
Download or read book Guide to Pairing-Based Cryptography written by Nadia El Mrabet and published by CRC Press. This book was released on 2017-01-06 with total page 587 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Elementary Number Theory in Nine Chapters by : James J. Tattersall
Download or read book Elementary Number Theory in Nine Chapters written by James J. Tattersall and published by Cambridge University Press. This book was released on 1999-10-14 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to serve as a one-semester introductory course in number theory. Throughout the book a historical perspective has been adopted and emphasis is given to some of the subject's applied aspects; in particular the field of cryptography is highlighted. At the heart of the book are the major number theoretic accomplishments of Euclid, Fermat, Gauss, Legendre, and Euler, and to fully illustrate the properties of numbers and concepts developed in the text, a wealth of exercises have been included. It is assumed that the reader will have 'pencil in hand' and ready access to a calculator or computer. For students new to number theory, whatever their background, this is a stimulating and entertaining introduction to the subject.
Book Synopsis Advances in Cryptology by : Hugh C. Williams
Download or read book Advances in Cryptology written by Hugh C. Williams and published by Springer. This book was released on 2007-03-05 with total page 543 pages. Available in PDF, EPUB and Kindle. Book excerpt: A Conference on the Theory and Application of Cryptographic Techniques, Held at he University of California, Santa Barbara, through the Co-operation of the Computer Science Department, August 18 - 220, 1985