| @@ -33,7 +33,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Introduction" | |||||
| "## 1. Introduction" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -67,7 +67,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Creating `numpy` arrays" | |||||
| "## 2. Creating `numpy` arrays" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -85,7 +85,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### From lists" | |||||
| "### 2.1 From lists" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -399,7 +399,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Using array-generating functions" | |||||
| "### 2.2 Using array-generating functions" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -758,14 +758,14 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## File I/O" | |||||
| "## 3 File I/O" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Comma-separated values (CSV)" | |||||
| "### 3.1 Comma-separated values (CSV)" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -945,7 +945,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Numpy's native file format" | |||||
| "### 3.2 Numpy's native file format" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1000,7 +1000,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## More properties of the numpy arrays" | |||||
| "## 4. More properties of the numpy arrays" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1066,14 +1066,14 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Manipulating arrays" | |||||
| "## 5. Manipulating arrays" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Indexing" | |||||
| "### 5.1 Indexing" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1299,7 +1299,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Index slicing" | |||||
| "### 5.2 Index slicing" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1626,7 +1626,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Fancy indexing" | |||||
| "### 5.3 Fancy indexing" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1851,14 +1851,14 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Functions for extracting data from arrays and creating arrays" | |||||
| "## 6. Functions for extracting data from arrays and creating arrays" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### where" | |||||
| "### 6.1 where" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1914,7 +1914,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### diag" | |||||
| "### 6.2 diag" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1968,7 +1968,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### take" | |||||
| "### 6.3 take" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -2071,7 +2071,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### choose" | |||||
| "### 6.4 choose" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -2108,7 +2108,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Linear algebra" | |||||
| "## 7. Linear algebra" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -2122,7 +2122,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Scalar-array operations" | |||||
| "### 7.1Scalar-array operations" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -2213,7 +2213,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Element-wise array-array operations" | |||||
| "### 7.2 Element-wise array-array operations" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -2318,7 +2318,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Matrix algebra" | |||||
| "### 7.3 Matrix algebra" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -2601,7 +2601,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Array/Matrix transformations" | |||||
| "### 7.4 Array/Matrix transformations" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -2811,7 +2811,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Matrix computations" | |||||
| "### 7.5 Matrix computations" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -2914,7 +2914,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Data processing" | |||||
| "### 7.6 Data processing" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -3225,7 +3225,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Computations on subsets of arrays" | |||||
| "### 7.7 Computations on subsets of arrays" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -3362,7 +3362,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Calculations with higher-dimensional data" | |||||
| "### 7.8 Calculations with higher-dimensional data" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -3471,7 +3471,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Reshaping, resizing and stacking arrays" | |||||
| "## 8. Reshaping, resizing and stacking arrays" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -3748,7 +3748,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Adding a new dimension: newaxis" | |||||
| "## 9. Adding a new dimension: newaxis" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -3889,7 +3889,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Stacking and repeating arrays" | |||||
| "## 10. Stacking and repeating arrays" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -3903,7 +3903,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### tile and repeat" | |||||
| "### 10.1 tile and repeat" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -4019,7 +4019,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### concatenate" | |||||
| "### 10.2 concatenate" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -4078,7 +4078,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### hstack and vstack" | |||||
| "### 10.3 hstack and vstack" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -4128,7 +4128,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Copy and \"deep copy\"" | |||||
| "## 11. Copy and \"deep copy\"" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -4281,7 +4281,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Iterating over array elements" | |||||
| "## 12. Iterating over array elements" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -4406,7 +4406,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Vectorizing functions" | |||||
| "## 13. Vectorizing functions" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -4587,7 +4587,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Using arrays in conditions" | |||||
| "## 14. Using arrays in conditions" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -4683,7 +4683,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Type casting" | |||||
| "## 15. Type casting" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -4783,7 +4783,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Further reading" | |||||
| "## 16. Further reading" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -4799,7 +4799,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Versions" | |||||
| "## 17. Versions" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -459,7 +459,7 @@ | |||||
| "name": "python", | "name": "python", | ||||
| "nbconvert_exporter": "python", | "nbconvert_exporter": "python", | ||||
| "pygments_lexer": "ipython3", | "pygments_lexer": "ipython3", | ||||
| "version": "3.5.2" | |||||
| "version": "3.6.8" | |||||
| } | } | ||||
| }, | }, | ||||
| "nbformat": 4, | "nbformat": 4, | ||||
| @@ -4,7 +4,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "# 1.1. 介绍IPython和Jupyter笔记本" | |||||
| "# 介绍IPython和Jupyter笔记本" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -4,7 +4,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "# 1.1. Introducing IPython and the Jupyter Notebook" | |||||
| "# Introducing IPython and the Jupyter Notebook" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -330,7 +330,7 @@ | |||||
| "name": "python", | "name": "python", | ||||
| "nbconvert_exporter": "python", | "nbconvert_exporter": "python", | ||||
| "pygments_lexer": "ipython3", | "pygments_lexer": "ipython3", | ||||
| "version": "3.5.2" | |||||
| "version": "3.6.8" | |||||
| } | } | ||||
| }, | }, | ||||
| "nbformat": 4, | "nbformat": 4, | ||||
| @@ -34,7 +34,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## 简介" | |||||
| "## 1. 简介" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -91,7 +91,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## 特殊功能" | |||||
| "## 2. 特殊功能" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -194,14 +194,14 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## 积分" | |||||
| "## 3. 积分" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### 数值积分:求积" | |||||
| "### 3.1 数值积分:求积" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -379,7 +379,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## 常微分方程 (ODEs)" | |||||
| "## 4. 常微分方程 (ODEs)" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -755,7 +755,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## 傅立叶转换" | |||||
| "## 5. 傅立叶转换" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -873,7 +873,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## 线性代数" | |||||
| "## 6. 线性代数" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -891,7 +891,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### 线性代数系统" | |||||
| "### 6.1 线性代数系统" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1045,7 +1045,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### 特征值和特征向量" | |||||
| "### 6.2 特征值和特征向量" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1181,7 +1181,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### 矩阵操作" | |||||
| "### 6.3 矩阵操作" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1253,7 +1253,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### 稀疏矩阵" | |||||
| "### 6.4 稀疏矩阵" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1648,7 +1648,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## 优化" | |||||
| "## 7. 优化" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1673,7 +1673,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### 找到最小值" | |||||
| "### 7.1 找到最小值" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1836,7 +1836,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### 找到一个方程的解" | |||||
| "### 7.2 找到一个方程的解" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1956,7 +1956,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## 插值" | |||||
| "## 8. 插值" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -2033,7 +2033,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## 统计" | |||||
| "## 9. 统计" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -2188,7 +2188,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### 统计测试" | |||||
| "### 9.1 统计测试" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -34,7 +34,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Introduction" | |||||
| "## 1. Introduction" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -91,7 +91,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Special functions" | |||||
| "## 2. Special functions" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -197,14 +197,14 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Integration" | |||||
| "## 3. Integration" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Numerical integration: quadrature" | |||||
| "### 3.1 Numerical integration: quadrature" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -383,7 +383,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Ordinary differential equations (ODEs)" | |||||
| "## 4. Ordinary differential equations (ODEs)" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -757,7 +757,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Fourier transform" | |||||
| "## 5. Fourier transform" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -875,7 +875,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Linear algebra" | |||||
| "## 6. Linear algebra" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -894,7 +894,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Linear equation systems" | |||||
| "### 6.1 Linear equation systems" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1048,7 +1048,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Eigenvalues and eigenvectors" | |||||
| "### 6.2 Eigenvalues and eigenvectors" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1184,7 +1184,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Matrix operations" | |||||
| "### 6.3 Matrix operations" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1256,7 +1256,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Sparse matrices" | |||||
| "### 6.4 Sparse matrices" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1601,21 +1601,19 @@ | |||||
| }, | }, | ||||
| { | { | ||||
| "cell_type": "code", | "cell_type": "code", | ||||
| "execution_count": 64, | |||||
| "execution_count": 1, | |||||
| "metadata": {}, | "metadata": {}, | ||||
| "outputs": [ | "outputs": [ | ||||
| { | { | ||||
| "data": { | |||||
| "text/plain": [ | |||||
| "array([[ 1.],\n", | |||||
| " [ 6.],\n", | |||||
| " [ 5.],\n", | |||||
| " [ 5.]])" | |||||
| ] | |||||
| }, | |||||
| "execution_count": 64, | |||||
| "metadata": {}, | |||||
| "output_type": "execute_result" | |||||
| "ename": "NameError", | |||||
| "evalue": "name 'A' is not defined", | |||||
| "output_type": "error", | |||||
| "traceback": [ | |||||
| "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", | |||||
| "\u001b[0;31mNameError\u001b[0m Traceback (most recent call last)", | |||||
| "\u001b[0;32m<ipython-input-1-bae968ab7277>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m\u001b[0m\n\u001b[1;32m 1\u001b[0m \u001b[0;31m# sparse matrix - dense vector multiplication\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m----> 2\u001b[0;31m \u001b[0mA\u001b[0m \u001b[0;34m*\u001b[0m \u001b[0mv\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m", | |||||
| "\u001b[0;31mNameError\u001b[0m: name 'A' is not defined" | |||||
| ] | |||||
| } | } | ||||
| ], | ], | ||||
| "source": [ | "source": [ | ||||
| @@ -1651,7 +1649,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Optimization" | |||||
| "## 7. Optimization" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1676,7 +1674,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Finding a minima" | |||||
| "### 7.1 Finding a minima" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1839,7 +1837,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Finding a solution to a function" | |||||
| "### 7.2 Finding a solution to a function" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1959,7 +1957,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Interpolation" | |||||
| "## 8. Interpolation" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -2036,7 +2034,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Statistics" | |||||
| "## 9. Statistics" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -2191,7 +2189,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Statistical tests" | |||||
| "### 9.1 Statistical tests" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -2415,7 +2413,7 @@ | |||||
| "name": "python", | "name": "python", | ||||
| "nbconvert_exporter": "python", | "nbconvert_exporter": "python", | ||||
| "pygments_lexer": "ipython3", | "pygments_lexer": "ipython3", | ||||
| "version": "3.5.2" | |||||
| "version": "3.6.8" | |||||
| } | } | ||||
| }, | }, | ||||
| "nbformat": 4, | "nbformat": 4, | ||||
| @@ -2412,7 +2412,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## 11. 进一步的阅读" | |||||
| "## 进一步的阅读" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -2428,7 +2428,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## 12. 版本" | |||||
| "## 版本" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -32,7 +32,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Introduction" | |||||
| "## 1. Introduction" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -85,7 +85,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Symbolic variables" | |||||
| "## 2. Symbolic variables" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -232,7 +232,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Complex numbers" | |||||
| "### 2.1 Complex numbers" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -319,7 +319,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Rational numbers" | |||||
| "### 2.2 Rational numbers" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -419,7 +419,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Numerical evaluation" | |||||
| "## 3. Numerical evaluation" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -710,7 +710,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Algebraic manipulations" | |||||
| "## 4. Algebraic manipulations" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -724,7 +724,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Expand and factor" | |||||
| "### 4.1 Expand and factor" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -880,7 +880,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Simplify" | |||||
| "### 4.2 Simplify" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -972,7 +972,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### apart and together" | |||||
| "### 4.3 apart and together" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1141,7 +1141,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Calculus" | |||||
| "## 5. Calculus" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1155,7 +1155,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Differentiation" | |||||
| "### 5.1 Differentiation" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1332,7 +1332,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Integration" | |||||
| "## 5.2 Integration" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1468,7 +1468,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Sums and products" | |||||
| "### 5.3 Sums and products" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1607,7 +1607,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Limits" | |||||
| "## 6. Limits" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -1802,7 +1802,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Series" | |||||
| "## 7. Series" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -2075,14 +2075,14 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Linear algebra" | |||||
| "## 8. Linear algebra" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "### Matrices" | |||||
| "### 8.1 Matrices" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -2282,7 +2282,7 @@ | |||||
| "cell_type": "markdown", | "cell_type": "markdown", | ||||
| "metadata": {}, | "metadata": {}, | ||||
| "source": [ | "source": [ | ||||
| "## Solving equations" | |||||
| "## 9. Solving equations" | |||||
| ] | ] | ||||
| }, | }, | ||||
| { | { | ||||
| @@ -2526,7 +2526,7 @@ | |||||
| "name": "python", | "name": "python", | ||||
| "nbconvert_exporter": "python", | "nbconvert_exporter": "python", | ||||
| "pygments_lexer": "ipython3", | "pygments_lexer": "ipython3", | ||||
| "version": "3.5.2" | |||||
| "version": "3.6.8" | |||||
| } | } | ||||
| }, | }, | ||||
| "nbformat": 4, | "nbformat": 4, | ||||