Scientific Computing with MATLAB and Octave (Texts in Computational Science and Engineering)
暫譯: 使用 MATLAB 和 Octave 的科學計算(計算科學與工程系列)
Alfio Quarteroni, Fausto Saleri, Paola Gervasio
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商品描述
This textbook is an introduction to Scientific Computing, in which several numerical methods for the computer-based solution of certain classes of mathematical problems are illustrated. The authors show how to compute the zeros, the extrema, and the integrals of continuous functions, solve linear systems, approximate functions using polynomials and construct accurate approximations for the solution of ordinary and partial differential equations. To make the format concrete and appealing, the programming environments Matlab and Octave are adopted as faithful companions. The book contains the solutions to several problems posed in exercises and examples, often originating from important applications. At the end of each chapter, a specific section is devoted to subjects which were not addressed in the book and contains bibliographical references for a more comprehensive treatment of the material.
From the review:
".... This carefully written textbook, the third English edition, contains substantial new developments on the numerical solution of differential equations. It is typeset in a two-color design and is written in a style suited for readers who have mathematics, natural sciences, computer sciences or economics as a background and who are interested in a well-organized introduction to the subject." Roberto Plato (Siegen), Zentralblatt MATH 1205.65002.
商品描述(中文翻譯)
這本教科書是科學計算的入門書籍,介紹了幾種數值方法,用於計算機解決某些類型的數學問題。作者展示了如何計算連續函數的零點、極值和積分,解決線性系統,使用多項式近似函數,並為常微分方程和偏微分方程的解構建準確的近似。為了使格式具體且吸引人,書中採用了 Matlab 和 Octave 作為忠實的伴侶。這本書包含了幾個練習和範例中提出的問題的解答,這些問題通常源自重要的應用。在每章的結尾,特定的部分專門討論書中未涉及的主題,並包含文獻參考,以便對材料進行更全面的處理。
來自評論:
「……這本精心編寫的教科書,第三版英文版,包含了有關微分方程數值解的重大新進展。它採用雙色設計排版,並以適合具有數學、自然科學、計算機科學或經濟學背景的讀者的風格撰寫,對於有興趣於該主題的有組織的入門介紹。」— Roberto Plato (Siegen), Zentralblatt MATH 1205.65002。