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商品描述
Description
Suitable for a first year graduate course, this textbook unites the applications of numerical mathematics and scientific computing to the practice of chemical engineering. Written in a pedagogic style, the book describes basic linear and nonlinear algebric systems all the way through to stochastic methods, Bayesian statistics and parameter estimation. These subjects are developed at a level of mathematics suitable for graduate engineering study without the exhaustive level of the theoretical mathematical detail. The implementation of numerical methods in MATLAB is integrated within each chapter and numerous examples in chemical engineering are provided, with a library of corresponding MATLAB programs. This book will provide the graduate student with essential tools required by industry and research alike. Supplementary material includes solutions to homework problems set in the text, MATLAB programs and tutorial, lecture slides, and complicated derivations for the more advanced reader. These are available online at www.cambridge.org/9780521859714.
• Numerous applications specific to chemical engineering and MATLAB integrated into each chapter. An extensive library of example problems are also located on the web
• It avoids theoretically detailed mathematics
• Contains numerous problems and homework exercises at the end of each chapter categorised according to difficulty. Solutions available on resource site
Table of Contents
1. Linear algebra; 2. Nonlinear algebraic systems; 3. Matrix eigenvalue analysis; 4. Initial value problems; 5. Numerical optimization; 6. Boundary value problems; 7. Probability theory and stochastic simulation; 8. Bayesian statistics and parameter estimation; 9. Fourier analysis.
商品描述(中文翻譯)
**描述**
適合一年級研究生課程,本教科書將數值數學和科學計算的應用與化學工程的實踐結合在一起。書中以教學風格撰寫,描述了基本的線性和非線性代數系統,直到隨機方法、貝葉斯統計和參數估計。這些主題以適合研究生工程學習的數學水平進行發展,而不涉及繁瑣的理論數學細節。每一章中都整合了在 MATLAB 中實現數值方法的內容,並提供了許多化學工程的範例,還附有相應的 MATLAB 程式庫。本書將為研究生提供業界和研究所需的基本工具。補充材料包括文本中設定的作業問題的解答、MATLAB 程式和教程、講義幻燈片,以及針對更高級讀者的複雜推導。這些資料可在線獲得,網址為 www.cambridge.org/9780521859714。
- 每一章中都整合了與化學工程相關的眾多應用和 MATLAB。網上還有大量範例問題的廣泛庫。
- 避免了理論上詳細的數學內容。
- 每章末尾包含了根據難度分類的眾多問題和作業練習。解答可在資源網站上獲得。
**目錄**
1. 線性代數;2. 非線性代數系統;3. 矩陣特徵值分析;4. 初值問題;5. 數值優化;6. 邊值問題;7. 機率論和隨機模擬;8. 貝葉斯統計和參數估計;9. 傅立葉分析。