Numerical Methods for Scientists and Engineers, 2/e (Paperback)
暫譯: 科學家與工程師的數值方法(第二版)

R. W. Hamming

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Numerical analysis is a subject of extreme interest to mathematicians and computer scientists, who will welcome this first inexpensive paperback edition of a groundbreaking classic text on the subject. In an introductory chapter on numerical methods and their relevance to computing, well-known mathematician Richard Hamming ("the Hamming code," "the Hamming distance," and "Hamming window," etc.), suggests that the purpose of computing is insight, not merely numbers. In that connection he outlines five main ideas that aim at producing meaningful numbers that will be read and used, but will also lead to greater understanding of how the choice of a particular formula or algorithm influences not only the computing but our understanding of the results obtained.
The five main ideas involve (1) insuring that in computing there is an intimate connection between the source of the problem and the usability of the answers (2) avoiding isolated formulas and algorithms in favor of a systematic study of alternate ways of doing the problem (3) avoidance of roundoff (4) overcoming the problem of truncation error (5) insuring the stability of a feedback system.
In this second edition, Professor Hamming (Naval Postgraduate School, Monterey, California) extensively rearranged, rewrote and enlarged the material. Moreover, this book is unique in its emphasis on the frequency approach and its use in the solution of problems. Contents include:
I. Fundamentals and Algorithms
II. Polynomial Approximation- Classical Theory
Ill. Fourier Approximation- Modern Theory
IV. Exponential Approximation ... and more
Highly regarded by experts in the field, this is a book with unlimited applications for undergraduate and graduate students of mathematics, science and engineering. Professionals and researchers will find it a valuable reference they will turn to again and again.

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數值分析是數學家和計算機科學家極感興趣的主題,他們將歡迎這本開創性經典文本的首個平價平裝版。在關於數值方法及其與計算相關性的介紹章節中,著名數學家理查德·哈明(Richard Hamming,'哈明碼'、'哈明距離'和'哈明窗'等)指出,計算的目的在於洞察,而不僅僅是數字。在這方面,他概述了五個主要思想,旨在產生有意義的數字,這些數字將被閱讀和使用,同時也將促進對特定公式或算法的選擇如何影響計算及我們對所獲得結果的理解的更深入理解。

這五個主要思想包括:(1) 確保在計算中,問題的來源與答案的可用性之間有密切的聯繫;(2) 避免孤立的公式和算法,轉而系統性地研究解決問題的替代方法;(3) 避免捨入誤差;(4) 克服截斷誤差的問題;(5) 確保反饋系統的穩定性。

在這第二版中,哈明教授(加州蒙特雷海軍研究生院)對材料進行了廣泛的重新排列、重寫和擴充。此外,本書在強調頻率方法及其在問題解決中的應用方面具有獨特性。內容包括:
I. 基礎與算法
II. 多項式近似 - 古典理論
III. 傅立葉近似 - 現代理論
IV. 指數近似 ... 以及更多

本書受到該領域專家的高度評價,是數學、科學和工程本科生及研究生的無限應用書籍。專業人士和研究人員將發現這是一本他們會一再參考的寶貴資料。