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Author : Theodore C. Burrowes
Publisher :
ISBN 13 :
Total Pages : 524 pages
Book Rating : 4.3/5 (97 download)
Download or read book Elementary Functions: an Algorithmic Approach written by Theodore C. Burrowes and published by . This book was released on 1974 with total page 524 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Kenneth E. Iverson
Publisher :
ISBN 13 :
Total Pages : 248 pages
Book Rating : 4.F/5 ( download)
Download or read book Elementary Functions written by Kenneth E. Iverson and published by . This book was released on 1966 with total page 248 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jean-Michel Muller
Publisher : Birkhäuser
ISBN 13 : 1489979832
Total Pages : 297 pages
Book Rating : 4.4/5 (899 download)
Download or read book Elementary Functions written by Jean-Michel Muller and published by Birkhäuser. This book was released on 2016-11-16 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook presents the concepts and tools necessary to understand, build, and implement algorithms for computing elementary functions (e.g., logarithms, exponentials, and the trigonometric functions). Both hardware- and software-oriented algorithms are included, along with issues related to accurate floating-point implementation. This third edition has been updated and expanded to incorporate the most recent advances in the field, new elementary function algorithms, and function software. After a preliminary chapter that briefly introduces some fundamental concepts of computer arithmetic, such as floating-point arithmetic and redundant number systems, the text is divided into three main parts. Part I considers the computation of elementary functions using algorithms based on polynomial or rational approximations and using table-based methods; the final chapter in this section deals with basic principles of multiple-precision arithmetic. Part II is devoted to a presentation of “shift-and-add” algorithms (hardware-oriented algorithms that use additions and shifts only). Issues related to accuracy, including range reduction, preservation of monotonicity, and correct rounding, as well as some examples of implementation are explored in Part III. Numerous examples of command lines and full programs are provided throughout for various software packages, including Maple, Sollya, and Gappa. New to this edition are an in-depth overview of the IEEE-754-2008 standard for floating-point arithmetic; a section on using double- and triple-word numbers; a presentation of new tools for designing accurate function software; and a section on the Toom-Cook family of multiplication algorithms. The techniques presented in this book will be of interest to implementers of elementary function libraries or circuits and programmers of numerical applications. Additionally, graduate and advanced undergraduate students, professionals, and researchers in scientific computing, numerical analysis, software engineering, and computer engineering will find this a useful reference and resource. PRAISE FOR PREVIOUS EDITIONS “[T]his book seems like an essential reference for the experts (which I'm not). More importantly, this is an interesting book for the curious (which I am). In this case, you'll probably learn many interesting things from this book. If you teach numerical analysis or approximation theory, then this book will give you some good examples to discuss in class." — MAA Reviews (Review of Second Edition) "The rich content of ideas sketched or presented in some detail in this book is supplemented by a list of over three hundred references, most of them of 1980 or more recent. The book also contains some relevant typical programs." — Zentralblatt MATH (Review of Second Edition) “I think that the book will be very valuable to students both in numerical analysis and in computer science. I found [it to be] well written and containing much interesting material, most of the time disseminated in specialized papers published in specialized journals difficult to find." — Numerical Algorithms (Review of First Edition)
Author : Kenneth E. Iverson
Publisher :
ISBN 13 :
Total Pages : 396 pages
Book Rating : 4.X/5 (1 download)
Download or read book Algebra written by Kenneth E. Iverson and published by . This book was released on 1977 with total page 396 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jonathan M. Borwein
Publisher : Springer Science & Business Media
ISBN 13 : 1475732406
Total Pages : 754 pages
Book Rating : 4.4/5 (757 download)
Download or read book Pi: A Source Book written by Jonathan M. Borwein and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 754 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our intention in this collection is to provide, largely through original writings, an ex tended account of pi from the dawn of mathematical time to the present. The story of pi reflects the most seminal, the most serious, and sometimes the most whimsical aspects of mathematics. A surprising amount of the most important mathematics and a signifi cant number of the most important mathematicians have contributed to its unfolding directly or otherwise. Pi is one of the few mathematical concepts whose mention evokes a response of recog nition and interest in those not concerned professionally with the subject. It has been a part of human culture and the educated imagination for more than twenty-five hundred years. The computation of pi is virtually the only topic from the most ancient stratum of mathematics that is still of serious interest to modern mathematical research. To pursue this topic as it developed throughout the millennia is to follow a thread through the history of mathematics that winds through geometry, analysis and special functions, numerical analysis, algebra, and number theory. It offers a subject that provides mathe maticians with examples of many current mathematical techniques as weIl as a palpable sense of their historical development. Why a Source Book? Few books serve wider potential audiences than does a source book. To our knowledge, there is at present no easy access to the bulk of the material we have collected.
Author : J.L. Berggren
Publisher : Springer
ISBN 13 : 1475742177
Total Pages : 812 pages
Book Rating : 4.4/5 (757 download)
Download or read book Pi: A Source Book written by J.L. Berggren and published by Springer. This book was released on 2014-01-13 with total page 812 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book documents the history of pi from the dawn of mathematical time to the present. One of the beauties of the literature on pi is that it allows for the inclusion of very modern, yet accessible, mathematics. The articles on pi collected herein fall into various classes. First and foremost there is a selection from the mathematical and computational literature of four millennia. There is also a variety of historical studies on the cultural significance of the number. Additionally, there is a selection of pieces that are anecdotal, fanciful, or simply amusing. For this new edition, the authors have updated the original material while adding new material of historical and cultural interest. There is a substantial exposition of the recent history of the computation of digits of pi, a discussion of the normality of the distribution of the digits, and new translations of works by Viete and Huygen.
Author : Nelson H.F. Beebe
Publisher : Springer
ISBN 13 : 3319641107
Total Pages : 1145 pages
Book Rating : 4.3/5 (196 download)
Download or read book The Mathematical-Function Computation Handbook written by Nelson H.F. Beebe and published by Springer. This book was released on 2017-08-20 with total page 1145 pages. Available in PDF, EPUB and Kindle. Book excerpt: This highly comprehensive handbook provides a substantial advance in the computation of elementary and special functions of mathematics, extending the function coverage of major programming languages well beyond their international standards, including full support for decimal floating-point arithmetic. Written with clarity and focusing on the C language, the work pays extensive attention to little-understood aspects of floating-point and integer arithmetic, and to software portability, as well as to important historical architectures. It extends support to a future 256-bit, floating-point format offering 70 decimal digits of precision. Select Topics and Features: references an exceptionally useful, author-maintained MathCW website, containing source code for the book’s software, compiled libraries for numerous systems, pre-built C compilers, and other related materials; offers a unique approach to covering mathematical-function computation using decimal arithmetic; provides extremely versatile appendices for interfaces to numerous other languages: Ada, C#, C++, Fortran, Java, and Pascal; presupposes only basic familiarity with computer programming in a common language, as well as early level algebra; supplies a library that readily adapts for existing scripting languages, with minimal effort; supports both binary and decimal arithmetic, in up to 10 different floating-point formats; covers a significant portion (with highly accurate implementations) of the U.S National Institute of Standards and Technology’s 10-year project to codify mathematical functions. This highly practical text/reference is an invaluable tool for advanced undergraduates, recording many lessons of the intermingled history of computer hardw are and software, numerical algorithms, and mathematics. In addition, professional numerical analysts and others will find the handbook of real interest and utility because it builds on research by the mathematical software community over the last four decades.
Author : John J.H. Miller
Publisher : Elsevier
ISBN 13 : 032314134X
Total Pages : 281 pages
Book Rating : 4.3/5 (231 download)
Download or read book Topics in Numerical Analysis II written by John J.H. Miller and published by Elsevier. This book was released on 2012-12-02 with total page 281 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topics in Numerical Analysis II contains in complete form, the papers given by the invited speakers to the Conference on Numerical Analysis held under the auspices of the National Committee for Mathematics of the Royal Irish Academy at University College, Dublin from 29th July to 2nd August, 1974. In addition, the titles of the contributed papers are listed together with the names and addresses of the authors who presented them at the conference. This book is divided into 20 chapters that present the papers in their entirety. They discuss such topics as applications of approximation theory to numerical analysis; interior regularity and local convergence of Galerkin finite element approximations for elliptic equations; and numerical estimates for the error of Gauss-Jacobi quadrature formulae. Some remarks on the unified treatment of elementary functions by microprogramming; application of finite difference methods to exploration seismology; and variable coefficient multistep methods for ordinary differential equations applied to parabolic partial differential equations are also presented. Other chapters cover realistic estimates for generic constants in multivariate pointwise approximation; matching of essential boundary conditions in the finite element method; and collocation, difference equations, and stitched function representations. This book will be of interest to practitioners in the fields of mathematics and computer science.
Author : E. J. Ariëns
Publisher : Elsevier
ISBN 13 : 1483216098
Total Pages : 312 pages
Book Rating : 4.4/5 (832 download)
Download or read book Drug Design written by E. J. Ariëns and published by Elsevier. This book was released on 2013-10-22 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: Drug Design, Volume VII covers the design of agents such as blood substitutes, pesticides derived from insect pheromones, and herbicides related to the auxin-type plant hormones. The book discusses the design of artificial blood substitutes and auxin-type herbicides; the use of insect pheromones as a basis for the development of more effective selective pest control agents; and the development and application of new steric substituent parameters in drug design. The text also describes the use of computer technology in drug design. Pharmacologists, chemists, biochemists, and people involved in drug design and manufacture will find the book invaluable.
Author : Robert Sedgewick
Publisher : Addison-Wesley
ISBN 13 : 0133373487
Total Pages : 735 pages
Book Rating : 4.1/5 (333 download)
Download or read book An Introduction to the Analysis of Algorithms written by Robert Sedgewick and published by Addison-Wesley. This book was released on 2013-01-18 with total page 735 pages. Available in PDF, EPUB and Kindle. Book excerpt: Despite growing interest, basic information on methods and models for mathematically analyzing algorithms has rarely been directly accessible to practitioners, researchers, or students. An Introduction to the Analysis of Algorithms, Second Edition, organizes and presents that knowledge, fully introducing primary techniques and results in the field. Robert Sedgewick and the late Philippe Flajolet have drawn from both classical mathematics and computer science, integrating discrete mathematics, elementary real analysis, combinatorics, algorithms, and data structures. They emphasize the mathematics needed to support scientific studies that can serve as the basis for predicting algorithm performance and for comparing different algorithms on the basis of performance. Techniques covered in the first half of the book include recurrences, generating functions, asymptotics, and analytic combinatorics. Structures studied in the second half of the book include permutations, trees, strings, tries, and mappings. Numerous examples are included throughout to illustrate applications to the analysis of algorithms that are playing a critical role in the evolution of our modern computational infrastructure. Improvements and additions in this new edition include Upgraded figures and code An all-new chapter introducing analytic combinatorics Simplified derivations via analytic combinatorics throughout The book’s thorough, self-contained coverage will help readers appreciate the field’s challenges, prepare them for advanced results—covered in their monograph Analytic Combinatorics and in Donald Knuth’s The Art of Computer Programming books—and provide the background they need to keep abreast of new research. "[Sedgewick and Flajolet] are not only worldwide leaders of the field, they also are masters of exposition. I am sure that every serious computer scientist will find this book rewarding in many ways." —From the Foreword by Donald E. Knuth
Author : G. Albert Higgins
Publisher :
ISBN 13 :
Total Pages : 364 pages
Book Rating : 4.E/5 ( download)
Download or read book The Elementary Functions written by G. Albert Higgins and published by . This book was released on 1973 with total page 364 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jack Belzer
Publisher : CRC Press
ISBN 13 : 1000715434
Total Pages : 507 pages
Book Rating : 4.0/5 (7 download)
Download or read book Encyclopedia of Computer Science and Technology written by Jack Belzer and published by CRC Press. This book was released on 2020-02-03 with total page 507 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This comprehensive reference work provides immediate, fingertip access to state-of-the-art technology in nearly 700 self-contained articles written by over 900 international authorities. Each article in the Encyclopedia features current developments and trends in computers, software, vendors, and applications...extensive bibliographies of leading figures in the field, such as Samuel Alexander, John von Neumann, and Norbert Wiener...and in-depth analysis of future directions."
Author :
Publisher :
ISBN 13 :
Total Pages : 256 pages
Book Rating : 4.:/5 (3 download)
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1990 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Melvin Klerer
Publisher : Elsevier
ISBN 13 : 0323148484
Total Pages : 487 pages
Book Rating : 4.3/5 (231 download)
Download or read book Interactive Systems for Experimental Applied Mathematics written by Melvin Klerer and published by Elsevier. This book was released on 2012-12-02 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Interactive Systems for Experimental Applied Mathematics is a collection of papers presented at the 1967 Association for Computing Machinery (ACM) Inc. Symposium on Interactive Systems for Experimental Mathematics, held in Washington, D.C. in conjunction with the ACM National Meeting. This book is organized into five parts encompassing 46 chapters. The opening part deals with the general criteria for interactive on-line systems that seem most important for the experimental solution of mathematical problems. This part specifically describes the AMTRAN, REDUCE, EASL, POSE, VENUS, and CHARYBDIS computer systems and languages. The next two parts cover the components of interactive systems, including coherent programming, interactive console, mathematical symbol processing, message system, and computer-aided instruction. The fourth part examines a scheme for permitting a user of conventional procedural programming languages, namely, FORTRAN, to test actual error propagation in numerical calculations. This part also describes the features of Analyst Assistance Program, an on-line graphically oriented conversational computing system designed to perform small nonrecurring numerical computations. The concluding part presents several implications of selected computer systems, the resulting problems, and their proposed solutions. This book is of great benefit to computer scientists and engineers, mathematicians, and undergraduate and graduate students in applied mathematics.
Author : Clemens G. Raab
Publisher : Springer Nature
ISBN 13 : 3030987671
Total Pages : 303 pages
Book Rating : 4.0/5 (39 download)
Download or read book Integration in Finite Terms: Fundamental Sources written by Clemens G. Raab and published by Springer Nature. This book was released on 2022-06-06 with total page 303 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume gives an up-to-date review of the subject Integration in Finite Terms. The book collects four significant texts together with an extensive bibliography and commentaries discussing these works and their impact. These texts, either out of print or never published before, are fundamental to the subject of the book. Applications in combinatorics and physics have aroused a renewed interest in this well-developed area devoted to finding solutions of differential equations and, in particular, antiderivatives, expressible in terms of classes of elementary and special functions.
Author : Library of Congress. Copyright Office
Publisher : Copyright Office, Library of Congress
ISBN 13 :
Total Pages : 1938 pages
Book Rating : 4.F/5 ( download)
Download or read book Catalog of Copyright Entries. Third Series written by Library of Congress. Copyright Office and published by Copyright Office, Library of Congress. This book was released on 1973 with total page 1938 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Ivan Lirkov
Publisher : Springer Nature
ISBN 13 : 3031562089
Total Pages : 479 pages
Book Rating : 4.0/5 (315 download)
Download or read book Large-Scale Scientific Computations written by Ivan Lirkov and published by Springer Nature. This book was released on with total page 479 pages. Available in PDF, EPUB and Kindle. Book excerpt:
