Engineering Mathematics Metric Version (Paperback)
ZILL & WRIGHT & DING
- 出版商: Cengage Learning
- 出版日期: 2019-01-01
- 售價: $1,260
- 語言: 英文
- 頁數: 850
- ISBN: 9869462634
- ISBN-13: 9789869462631
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相關分類:
工程數學 Engineering-mathematics
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目錄大綱
Table of Contents:
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1. Introduction
PART I. ORDINARY DIFFERENTIAL EQUATIONS
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2. First-Order Differential Equations
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3. Modeling with first-Order Differential Equations
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4. Higher-Order Differential Equations
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5. Modeling with Higher-Order Differential Equations
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6. Series Solutions of Linear Equations
PART II. THE LAPLACE TRANSFORM
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7. The Laplace Transform
PART III VECTORS, MATRICES AND LINEAR SYSTEMS
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8. Vectors
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9. Vector Calculus
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10. Matrices
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11. Orthogonal Matrices
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12. Eigenvectors and Eigenvalues
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13. Systems of Linear First-Order Differential Equations
PART IV. ORTHOGONAL FUNCTIONS AND FOURIER TRANSFORMS
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14. Orthogonal Functions and Fourier Series
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15. Fourier Transforms
PART V PARTIAL DIFFERENTIAL EQUATIONS
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16. Boundary-Value Problems in Rectangular Coordinates
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17. Boundary-Value Problems in Other Coordinate Systems
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18. Integral Transforms
PART VI COMPLEX VARIABLES
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19. Complex Numbers and Functions
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20. Complex Integrals
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21. Complex Series
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22. Mappings by Complex Functions
PART VII NUMERICAL METHODS
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23. Numerical Solutions of Differential Equations
目錄大綱(中文翻譯)
目錄：
1. 簡介
PART I. 常微分方程式
2. 一階常微分方程式
3. 以一階常微分方程式進行建模
4. 高階常微分方程式
5. 以高階常微分方程式進行建模
6. 線性方程式的級數解法
PART II. 拉普拉斯變換
7. 拉普拉斯變換
PART III. 向量、矩陣和線性系統
8. 向量
9. 向量微積分
10. 矩陣
11. 正交矩陣
12. 特徵向量和特徵值
13. 一階線性常微分方程組
PART IV. 正交函數和傅立葉變換
14. 正交函數和傅立葉級數
15. 傅立葉變換
PART V. 偏微分方程式
16. 矩形座標中的邊界值問題
17. 其他座標系統中的邊界值問題
18. 積分變換
PART VI