Elementary Functions: Algorithms and Implementation
暫譯: 初等函數:演算法與實作

Muller, Jean-Michel

  • 出版商: Birkhauser Boston
  • 出版日期: 2016-11-17
  • 售價: $4,120
  • 貴賓價: 9.5$3,914
  • 語言: 英文
  • 頁數: 283
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1489979816
  • ISBN-13: 9781489979810
  • 相關分類: 數值分析 Numerical-analysis
  • 無法訂購

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商品描述

This unique textbook provides concepts and background necessary to understand and build algorithms for computing the elementary functions--sine, cosine, tangent, exponentials, and logarithms. The author presents and structures the algorithms, hardware-oriented as well as software-oriented, and also discusses issues related to accurate floating-point implementation. The purpose is not to give "cookbook recipes" that allow one to implement a given function, but rather to provide the reader with tools necessary to build or adapt algorithms for their specific computing environment.

This expanded third edition contains a number of revisions and additions, which incorporate numerous new results obtained during the last few years. Specifically, the chapters on polynomial and rational approximations, table-based methods, multiple-precision calculations, and final rounding will be heavily rewritten to include recent advances, applications, and function software.

Elementary Functions: Algorithms and implementation is an up-to-date presentation of information needed to understand and accurately use mathematical functions and algorithms in computational work and design. 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.

商品描述(中文翻譯)

這本獨特的教科書提供了理解和構建計算基本函數(正弦、餘弦、正切、指數和對數)所需的概念和背景。作者展示並結構化了算法,包括硬體導向和軟體導向的算法,並討論了與準確的浮點實現相關的問題。其目的不是提供可以實現特定函數的「食譜」,而是為讀者提供必要的工具,以便在其特定的計算環境中構建或調整算法。

這個擴充的第三版包含了多項修訂和新增內容,納入了過去幾年獲得的許多新成果。具體而言,關於多項式和有理近似、基於表格的方法、多精度計算和最終四捨五入的章節將進行大量重寫,以包括最近的進展、應用和函數軟體。

《基本函數:算法與實現》是理解和準確使用數學函數及算法在計算工作和設計中所需信息的最新呈現。研究生和高年級本科生、專業人士以及科學計算、數值分析、軟體工程和計算機工程的研究人員將會發現這是一本有用的參考資料和資源。

作者簡介

Jean-Michel Muller was born in Grenoble, France, in 1961. He received his Ph.D. degree in 1985 from the Institut National Polytechnique de Grenoble. He is Directeur de Recherches (senior researcher) at CNRS, France. His research interests are in Computer Arithmetic. He is the author or co-author of several books, including the "Handbook of Floating-Point Arithmetic (Birkhauser, 2010). He is an associate editor of the IEEE Transactions on Computers, and a senior member of the IEEE.

作者簡介(中文翻譯)

讓-米歇爾·穆勒(Jean-Michel Muller)於1961年出生於法國格勒諾布爾。他於1985年獲得格勒諾布爾國立工藝學院(Institut National Polytechnique de Grenoble)的博士學位。他是法國國家科學研究中心(CNRS)的研究主任(Directeur de Recherches,資深研究員)。他的研究興趣集中在計算機算術(Computer Arithmetic)領域。他是多本書籍的作者或合著者,包括《浮點算術手冊》(Handbook of Floating-Point Arithmetic,Birkhauser,2010)。他是《IEEE計算機學報》(IEEE Transactions on Computers)的副編輯,並且是IEEE的資深會員。