Elementary Functions
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Elementary Functions
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Author : William Wooton
language : en
Publisher:
Release Date : 1975
Elementary Functions written by William Wooton and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1975 with Mathematics categories.
Elementary Functions
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Author : Jean-Michel Muller
language : en
Publisher: Birkhäuser
Release Date : 2016-11-16
Elementary Functions written by Jean-Michel Muller and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-16 with Computers categories.
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)
Elementary Functions
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Author : Andrei Bourchtein
language : en
Publisher: Springer Nature
Release Date : 2023-05-31
Elementary Functions written by Andrei Bourchtein and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-31 with Mathematics categories.
This textbook focuses on the study of different kinds of elementary functions ubiquitous both in high school Algebra and Calculus. To analyze the functions ranging from polynomial to trigonometric ones, it uses rudimentary techniques available to high school students, and at the same time follows the mathematical rigor appropriate for university level courses. Contrary to other books of Pre-Calculus, this textbook emphasizes the study of elementary functions with rigor appropriate for university level courses in mathematics, although the exposition is confined to the pre-limit topics and techniques. This makes the book useful, on the one hand, as an introduction to mathematical reasoning and methods of proofs in mathematical analysis, and on the other hand, as a preparatory course on the properties of different kinds of elementary functions. The textbook is aimed at university freshmen and high-school students interested in learning strict mathematical reasoning and in preparing a solid base for subsequent study of elementary functions at advanced level of Calculus and Analysis. The required prerequisites correspond to the level of the high school Algebra. All the preliminary concepts and results related to the elementary functions are covered in the initial part of the text. This makes the textbook suitable for both classroom use and self-study.
Elementary Functions
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Author : Jean-Michel Muller
language : en
Publisher: Springer Science & Business Media
Release Date : 2005-10-24
Elementary Functions written by Jean-Michel Muller 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 2005-10-24 with Computers categories.
Second Edition of successful, well-reviewed Birkhauser book, which sold 866 copies in North America Provides an up-to-date presentation by including new results, examples, and problems throughout the text The second edition adds a chapter on multiple-precision arithmetic, and new algorithms invented since 1997
Calculus Of Elementary Functions
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Author : Harold Abelson
language : en
Publisher: Houghton Mifflin Harcourt P
Release Date : 1970
Calculus Of Elementary Functions written by Harold Abelson and has been published by Houghton Mifflin Harcourt P this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Mathematics categories.
Monday, 1 November 2006
Differential And Integral Calculus Volume 1
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Author : Richard Courant
language : en
Publisher: John Wiley & Sons
Release Date : 1988-02-23
Differential And Integral Calculus Volume 1 written by Richard Courant and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988-02-23 with Mathematics categories.
The classic introduction to the fundamentals of calculus Richard Courant's classic text Differential and Integral Calculus is an essential text for those preparing for a career in physics or applied math. Volume 1 introduces the foundational concepts of "function" and "limit", and offers detailed explanations that illustrate the "why" as well as the "how". Comprehensive coverage of the basics of integrals and differentials includes their applications as well as clearly-defined techniques and essential theorems. Multiple appendices provide supplementary explanation and author notes, as well as solutions and hints for all in-text problems.
Analysis Of Elementary Functions
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Author : Robert H. Sorgenfrey
language : en
Publisher:
Release Date : 1970
Analysis Of Elementary Functions written by Robert H. Sorgenfrey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Algebraic functions categories.
Introduction To Elementary Functions
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Author : Wilfred J. Comebellack
language : en
Publisher: Hassell Street Press
Release Date :
Introduction To Elementary Functions written by Wilfred J. Comebellack and has been published by Hassell Street Press this book supported file pdf, txt, epub, kindle and other format this book has been release on with Algebra categories.
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 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. Scholars believe, and we concur, that this work is important enough to be preserved, reproduced, and made generally available to the public. To ensure a quality reading experience, this work has been proofread and republished using a format that seamlessly blends the original graphical elements with text in an easy-to-read typeface. We appreciate your support of the preservation process, and thank you for being an important part of keeping this knowledge alive and relevant.
Omdoc An Open Markup Format For Mathematical Documents Version 1 2
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Author : Michael Kohlhase
language : en
Publisher: Springer
Release Date : 2006-10-04
Omdoc An Open Markup Format For Mathematical Documents Version 1 2 written by Michael Kohlhase and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-10-04 with Computers categories.
Open Mathematical Documents (OMDoc) is a content markup scheme for mathematical documents including articles, textbooks, interactive books, and courses. OMDoc also serves as the content language for agent communication of mathematical services and a mathematical software bus. This book documents OMDoc version 1.2, the final and mature release of OMDoc 1. The system has been validated in varied applications, and features modularized language design, OPENMATH and MATHML for the representation of mathematical objects.
Differential Calculus I For Teacher Studies
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Author : Trávníček, Stanislav
language : en
Publisher: Palacky University Olomouc
Release Date :
Differential Calculus I For Teacher Studies written by Trávníček, Stanislav and has been published by Palacky University Olomouc this book supported file pdf, txt, epub, kindle and other format this book has been release on with Mathematics categories.
The textbook ""Differential Calculus I (for teacher studies)"" is intended primarily to students of the first term of mathematics tor teacher education at the Faculty or Science, Olomouc - in the Bachelor´s degree program.