Arithmetic And Its Applications

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Finite Precision Number Systems and Arithmetic

Author : Peter Kornerup
Publisher : Cambridge University Press
ISBN 13 : 113964355X
Total Pages : 717 pages
Book Rating : 4.1/5 (396 download)

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Book Synopsis Finite Precision Number Systems and Arithmetic by : Peter Kornerup

Download or read book Finite Precision Number Systems and Arithmetic written by Peter Kornerup and published by Cambridge University Press. This book was released on 2010-09-30 with total page 717 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fundamental arithmetic operations support virtually all of the engineering, scientific, and financial computations required for practical applications, from cryptography, to financial planning, to rocket science. This comprehensive reference provides researchers with the thorough understanding of number representations that is a necessary foundation for designing efficient arithmetic algorithms. Using the elementary foundations of radix number systems as a basis for arithmetic, the authors develop and compare alternative algorithms for the fundamental operations of addition, multiplication, division, and square root with precisely defined roundings. Various finite precision number systems are investigated, with the focus on comparative analysis of practically efficient algorithms for closed arithmetic operations over these systems. Each chapter begins with an introduction to its contents and ends with bibliographic notes and an extensive bibliography. The book may also be used for graduate teaching: problems and exercises are scattered throughout the text and a solutions manual is available for instructors.

Arithmetic and Its Applications

Author : Dana Pond Colburn
Publisher :
ISBN 13 :
Total Pages : 396 pages
Book Rating : 4.A/5 ( download)

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Book Synopsis Arithmetic and Its Applications by : Dana Pond Colburn

Download or read book Arithmetic and Its Applications written by Dana Pond Colburn and published by . This book was released on 1855 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Complex Interval Arithmetic and Its Applications

Author : Miodrag Petković
Publisher : John Wiley & Sons
ISBN 13 : 9783527401345
Total Pages : 296 pages
Book Rating : 4.4/5 (13 download)

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Book Synopsis Complex Interval Arithmetic and Its Applications by : Miodrag Petković

Download or read book Complex Interval Arithmetic and Its Applications written by Miodrag Petković and published by John Wiley & Sons. This book was released on 1998 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to present formulas and methods developed using complex interval arithmetic. While most of numerical methods described in the literature deal with real intervals and real vectors, there is no systematic study of methods in complex interval arithmetic. The book fills this gap. Several main subjects are considered: outer estimates for the range of complex functions, especially complex centered forms, the best approximations of elementary complex functions by disks, iterative methods for the inclusion by polynomial zeros including their implementation on parallel computers, the analysis of numerical stability of iterative methods by using complex interval arithmetic and numerical computation of curvilinear integrals with error bounds. Mainly new methods are presented developed over the last years, including a lot of very recent results by the authors some of which have not been published before.

Discrete Mathematics and Its Applications

Author : M. Sethumadhavan
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173197314
Total Pages : 254 pages
Book Rating : 4.1/5 (973 download)

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Book Synopsis Discrete Mathematics and Its Applications by : M. Sethumadhavan

Download or read book Discrete Mathematics and Its Applications written by M. Sethumadhavan and published by Alpha Science Int'l Ltd.. This book was released on 2006 with total page 254 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discrete Mathematics and its Applications provides an in-depth review of recent applications in the area and points to the directions of research. It deals with a wide range of topics like Cryptology Graph Theory Fuzzy Topology Computer Science Mathematical Biology A resource for researchers to keep track of the latest developments in these topics. Of interest to graph theorists, computer scientists, cryptographers, security specialists.

Theories of Interval Arithmetic

Author : Hend Dawood
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 3846501549
Total Pages : 128 pages
Book Rating : 4.8/5 (465 download)

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Book Synopsis Theories of Interval Arithmetic by : Hend Dawood

Download or read book Theories of Interval Arithmetic written by Hend Dawood and published by LAP Lambert Academic Publishing. This book was released on 2011-10-07 with total page 128 pages. Available in PDF, EPUB and Kindle. Book excerpt: Scientists are, all the time, in a struggle with uncertainty which is always a threat to a trustworthy scientific knowledge. A very simple and natural idea, to defeat uncertainty, is that of enclosing uncertain measured values in real closed intervals. On the basis of this idea, interval arithmetic is constructed. The idea of calculating with intervals is not completely new in mathematics: the concept has been known since Archimedes, who used guaranteed lower and upper bounds to compute his constant Pi. Interval arithmetic is now a broad field in which rigorous mathematics is associated with scientific computing. This connection makes it possible to solve uncertainty problems that cannot be efficiently solved by floating-point arithmetic. Today, application areas of interval methods include electrical engineering, control theory, remote sensing, experimental and computational physics, chaotic systems, celestial mechanics, signal processing, computer graphics, robotics, and computer-assisted proofs. The purpose of this book is to be a concise but informative introduction to the theories of interval arithmetic as well as to some of their computational and scientific applications. Editorial Reviews "This new book by Hend Dawood is a fresh introduction to some of the basics of interval computation. It stops short of discussing the more complicated subdivision methods for converging to ranges of values, however it provides a bit of perspective about complex interval arithmetic, constraint intervals, and modal intervals, and it does go into the design of hardware operations for interval arithmetic, which is something still to be done by computer manufacturers." - Ramon E. Moore, (The Founder of Interval Computations) Professor Emeritus of Computer and Information Science, Department of Mathematics, The Ohio State University, Columbus, U.S.A. "A popular math-oriented introduction to interval computations and its applications. This short book contains an explanation of the need for interval computations, a brief history of interval computations, and main interval computation techniques. It also provides an impressive list of main practical applications of interval techniques." - Vladik Kreinovich, (International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems) Professor of Computer Science, University of Texas at El Paso, El Paso, Texas, U.S.A. "I am delighted to see one more Egyptian citizen re-entering the field of interval mathematics invented in this very country thousands years ago." - Marek W. Gutowski, Institute of Physics, Polish Academy of Sciences, Warszawa, Poland

Fundamental Number Theory with Applications

Author : Richard A. Mollin
Publisher : CRC Press
ISBN 13 : 9780849339875
Total Pages : 472 pages
Book Rating : 4.3/5 (398 download)

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Book Synopsis Fundamental Number Theory with Applications by : Richard A. Mollin

Download or read book Fundamental Number Theory with Applications written by Richard A. Mollin and published by CRC Press. This book was released on 1997-09-10 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Beginning with the arithmetic of the rational integers and proceeding to an introduction of algebraic number theory via quadratic orders, Fundamental Number Theory with Applications reveals intriguing new applications of number theory. This text details aspects of computer science related to cryptography factoring primality testing complexity analysis computer arithmetic computational number theory Fundamental Number Theory with Applications also covers: Carmichael numbers Dirichlet products Jacobsthal sums Mersenne primes perfect numbers powerful numbers self-contained numbers Numerous exercises are included, testing the reader's knowledge of the concepts covered, introducing new and interesting topics, and providing a venue to learn background material. Written by a professor and author who is an accomplished scholar in this field, this book provides the material essential for an introduction to the fundamentals of number theory.

Bounded Arithmetic, Propositional Logic and Complexity Theory

Author : Jan Krajicek
Publisher : Cambridge University Press
ISBN 13 : 0521452058
Total Pages : 361 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Bounded Arithmetic, Propositional Logic and Complexity Theory by : Jan Krajicek

Download or read book Bounded Arithmetic, Propositional Logic and Complexity Theory written by Jan Krajicek and published by Cambridge University Press. This book was released on 1995-11-24 with total page 361 pages. Available in PDF, EPUB and Kindle. Book excerpt: Discusses the deep connections between logic and complexity theory, and lists a number of intriguing open problems.

Mathematics and Its Applications to Science and Natural Philosophy in the Middle Ages

Author : Edward Grant
Publisher : Cambridge University Press
ISBN 13 : 052132260X
Total Pages : 354 pages
Book Rating : 4.5/5 (213 download)

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Book Synopsis Mathematics and Its Applications to Science and Natural Philosophy in the Middle Ages by : Edward Grant

Download or read book Mathematics and Its Applications to Science and Natural Philosophy in the Middle Ages written by Edward Grant and published by Cambridge University Press. This book was released on 1987-08 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: Eleven distinguished historians of science explore natural philosophy and mathematics in the Middle Ages.

Number Theory and Its Applications

Author : Cem Y. Yildrim
Publisher : CRC Press
ISBN 13 : 1000657418
Total Pages : 364 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis Number Theory and Its Applications by : Cem Y. Yildrim

Download or read book Number Theory and Its Applications written by Cem Y. Yildrim and published by CRC Press. This book was released on 2020-03-06 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt: This valuable reference addresses the methods leading to contemporary developments in number theory and coding theory, originally presented as lectures at a summer school held at Bilkent University, Ankara, Turkey.

Applied Fuzzy Arithmetic

Author : Michael Hanss
Publisher : Springer Science & Business Media
ISBN 13 : 3540273174
Total Pages : 261 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Applied Fuzzy Arithmetic by : Michael Hanss

Download or read book Applied Fuzzy Arithmetic written by Michael Hanss and published by Springer Science & Business Media. This book was released on 2005-12-27 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: First book that provides both theory and real world applications of fuzzy arithmetic in a comprehensive style. Provides a well-structured compendium that offers both a deeper knowledge about the theory of fuzzy arithmetic and an extensive view on its applications in the engineering sciences making it useful for graduate courses, researchers and engineers. Presents the basic definitions and fundamental principles of fuzzy arithmetic, derived from fuzzy set theory. Summarizes the state-of-the-art stage of fuzzy arithmetic, offers a comprehensive composition of different approaches including their benefits and drawbacks, and finally, and presents a completely new methodology of implementation of fuzzy arithmetic with particular emphasis on its subsequent application to real-world systems. Concentrates on the application of fuzzy arithmetic to the simulation, analysis and identification of systems with uncertain model parameters, as they appear in various disciplines of engineering science. Focuses on mechanical engineering, geotechnical engineering, biomedical engineering, and control engineering.

Arithmetic and Its Applications, Designed as a Text Book for Common Schools, High Schools and Academies

Author : Dana Pond Colburn
Publisher :
ISBN 13 :
Total Pages : 366 pages
Book Rating : 4.:/5 (223 download)

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Book Synopsis Arithmetic and Its Applications, Designed as a Text Book for Common Schools, High Schools and Academies by : Dana Pond Colburn

Download or read book Arithmetic and Its Applications, Designed as a Text Book for Common Schools, High Schools and Academies written by Dana Pond Colburn and published by . This book was released on 1858 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Arithmetic and Its Applications: Designed as a Text Book for Common Schools, High Schools and Academ

Author : Dana Pond Colburn
Publisher : Wentworth Press
ISBN 13 : 9780469656864
Total Pages : 380 pages
Book Rating : 4.6/5 (568 download)

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Book Synopsis Arithmetic and Its Applications: Designed as a Text Book for Common Schools, High Schools and Academ by : Dana Pond Colburn

Download or read book Arithmetic and Its Applications: Designed as a Text Book for Common Schools, High Schools and Academ written by Dana Pond Colburn and published by Wentworth Press. This book was released on 2019-02-25 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Twin Buildings and Applications to S-Arithmetic Groups

Author : Peter Abramenko
Publisher : Springer
ISBN 13 : 3540495703
Total Pages : 131 pages
Book Rating : 4.5/5 (44 download)

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Book Synopsis Twin Buildings and Applications to S-Arithmetic Groups by : Peter Abramenko

Download or read book Twin Buildings and Applications to S-Arithmetic Groups written by Peter Abramenko and published by Springer. This book was released on 2006-11-14 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is addressed to mathematicians and advanced students interested in buildings, groups and their interplay. Its first part introduces - presupposing good knowledge of ordinary buildings - the theory of twin buildings, discusses its group-theoretic background (twin BN-pairs), investigates geometric aspects of twin buildings and applies them to determine finiteness properties of certain S-arithmetic groups. This application depends on topological properties of some subcomplexes of spherical buildings. The background of this problem, some examples and the complete solution for all "sufficiently large" classical buildings are covered in detail in the second part of the book.

Arithmetic and Its Applications: Designed as a Text Book for Common Schools, High Schools, and Acade

Author : Dana Pond Colburn
Publisher : Wentworth Press
ISBN 13 : 9780526179640
Total Pages : 380 pages
Book Rating : 4.1/5 (796 download)

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Book Synopsis Arithmetic and Its Applications: Designed as a Text Book for Common Schools, High Schools, and Acade by : Dana Pond Colburn

Download or read book Arithmetic and Its Applications: Designed as a Text Book for Common Schools, High Schools, and Acade written by Dana Pond Colburn and published by Wentworth Press. This book was released on 2019-02-27 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work has been selected by scholars as being culturally important, and is part of the knowledge base of civilization as we know it. This work was reproduced from the original artifact, and remains as true to the original work as possible. Therefore, you will see the original copyright references, library stamps (as most of these works have been housed in our most important libraries around the world), and other notations in the work. This work is in the public domain in the United States of America, and possibly other nations. Within the United States, you may freely copy and distribute this work, as no entity (individual or corporate) has a copyright on the body of the work. As a reproduction of a historical artifact, this work may contain missing or blurred pages, poor pictures, errant marks, etc. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.

Mathematics at Work

Author : Holbrook Lynedon Horton
Publisher :
ISBN 13 :
Total Pages : 750 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Mathematics at Work by : Holbrook Lynedon Horton

Download or read book Mathematics at Work written by Holbrook Lynedon Horton and published by . This book was released on 1957 with total page 750 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fourth edition retains the original purpose which has made this book such a large success through every one of its previous editions: to effectively help its readers solve a wide array of mathematical problems specifically related to mechanical work. Aside from its unique compilation of mathematical problems, this book is renowned for its ability to duplicate, as far as possible, personal instruction. Its usefulness as a self-learning guide for the mathematics of mechanical problems is therefore unexcelled. Distinctive Features -The entire text has been carefully reviewed and edited where necessary for greater clarity and accuracy. -Includes new problem materials. -At the request of many users, it now includes trigonometric and common logarithm tables.

Residue Arithmetic and Its Applications to Computer Technology

Author : Nicholas S. Szabó
Publisher : New York : McGraw-Hill
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Residue Arithmetic and Its Applications to Computer Technology by : Nicholas S. Szabó

Download or read book Residue Arithmetic and Its Applications to Computer Technology written by Nicholas S. Szabó and published by New York : McGraw-Hill. This book was released on 1967 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Arithmetic Geometry and Number Theory

Author : Lin Weng
Publisher : World Scientific
ISBN 13 : 981256814X
Total Pages : 411 pages
Book Rating : 4.8/5 (125 download)

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Book Synopsis Arithmetic Geometry and Number Theory by : Lin Weng

Download or read book Arithmetic Geometry and Number Theory written by Lin Weng and published by World Scientific. This book was released on 2006 with total page 411 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematics is very much a part of our culture; and this invaluable collection serves the purpose of developing the branches involved, popularizing the existing theories and guiding our future explorations.More precisely, the goal is to bring the reader to the frontier of current developments in arithmetic geometry and number theory through the works of Deninger-Werner in vector bundles on curves over p-adic fields; of Jiang on local gamma factors in automorphic representations; of Weng on Deligne pairings and Takhtajan-Zograf metrics; of Yoshida on CM-periods; of Yu on transcendence of special values of zetas over finite fields. In addition, the lecture notes presented by Weng at the University of Toronto from October to November 2005 explain basic ideas and the reasons (not just the language and conclusions) behind Langlands' fundamental, yet notably difficult, works on the Eisenstein series and spectral decompositions.And finally, a brand new concept by Weng called the Geometric Arithmetic program that uses algebraic and/or analytic methods, based on geometric considerations, to develop the promising and yet to be cultivated land of global arithmetic that includes non-abelian Class Field Theory, Riemann Hypothesis and non-abelian Zeta and L Functions, etc.