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商品描述
This book presents the full range of computational science and engineering -- the equations, numerical methods, and algorithms with MATLAB® codes. The author has taught this material to thousands of engineers and scientists. The book is solution-based and not formula-based: it covers applied linear algebra and fast solvers, differential equations with finite differences and finite elements, Fourier analysis, optimization, and more.
Contents Chapter 1: Applied Linear Algebra; Chapter 2: A Framework for Applied Mathematics; Chapter 3: Boundary Value Problems; Chapter 4: Fourier Series and Integrals; Chapter 5: Analytic Functions; Chapter 6: Initial Value Problems; Chapter 7: Solving Large Systems; Chapter 8: Optimization and Minimum Principles.
商品描述(中文翻譯)
這本書介紹了計算科學與工程的全範圍，包括方程式、數值方法和使用 MATLAB® 代碼的演算法。作者已經將這些內容教授給數千名工程師和科學家。這本書以解決方案為基礎，而非以公式為基礎：涵蓋了應用線性代數和快速求解器、有限差分和有限元素的微分方程、傅立葉分析、優化等主題。
內容
第 1 章：應用線性代數；第 2 章：應用數學的框架；第 3 章：邊值問題；第 4 章：傅立葉級數與積分；第 5 章：解析函數；第 6 章：初值問題；第 7 章：解大型系統；第 8 章：優化與最小原則。
