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# int  数学手册 dx = sum  MathHandbook.com

## Content 2

1. Algebra, triangle formula and elementary function ?
2. Elementary geometry graph computation and plot ?
3. Algebraic equation ?
4. Matrix · determinant · system of linear equations ?
5. Differential calculus ?
6. Integral calculus ?
7. Analytic geometry and differential geometry ?
8. Vector algorithms and tensor field and theory algorithms and Riemannian geometry ?
9. Abstract algebraic - linear space - Functional Analysis ?
10. Complex function ?
11. Integral transform ?
12. Special Function ?
13. Ordinary Differential Equations (ODE) ?
14. Partial Differential Equations (PDE) ?
15. Integral equations ?
16. Statistical probability and stochastic processes ?
17. Error theory and experimental data processing ?
18. Optimization methods ?
19. Finite element method ?
20. Elementary number theory ?
21. Set theory and general topology ?

### 高等数学 Higher Math

1. 序列与函数的极限 sequence and function limit
2. 级数的收敛与运算 seres restraining and operation
3. 微分 differential d/dx sin(x)
4. 隐函数 explicit differential
5. 微分的应用 application of derivative
6. 分数阶微积分 fractional calculus d^1.5/dx^1.5 cos(x)

1. 单变量函数的积分 integral of single variable function
2. 定积分的求法 method of indefinite integral
3. 多重积分、曲线积分与曲面积分 Multiple integrals, curve integrals and surface integrals
4. 积分的应用 integral application
5. 区域函数 region function delta(x)
6. integral table
7. 分数阶积分 fractional integral int sin(x) \ (dx) ^(1/2)

1. 微分方程的一般概念 General concept of differential equations
2. 一阶微分方程 First order differential equation y' -2y = 0
3. 线性微分方程 linear differential equation
4. 高阶微分方程与微分方程组 higher order differential equations and system of differential equations
5. 稳定性理论大意 stability theory
6. 常微分方程的数值解法 Numerical Solution of Ordinary Differential Equations
7. 分数阶微分方程 Fractional differential equation
d^0.5/dx^0.5 y = 2y
8. 解微分方程 solve differential equation by dsolve()
dsolve( d^0.5/dx^0.5 y=2y )
9. 验证微分方程的解 test solution for differential equation by test()
test( exp(4x), d^0.5/dx^0.5 y=2y )
10. 常微分方程2000题 2000 examples of ODE

1. 积分方程一般概念与弗雷德霍姆方程 The general concept
2. 奇异积分方程 Singular integral equation
3. 沃尔泰拉积分方程 Volterra integral equation
4. 积分方程的近似解法 Approximate Solution of Integral Equation
5. 非线性积分方程 nonlinear integral equation
6. 分数阶积分方程 Fractional integral equation
d^-0.5/dx^-0.5 y = 2y
7. 解积分方程 solve integral equation by dsolve()
dsolve( int y dx = 2y )
dsolve( d^-0.5/dx^-0.5 y=2y )
8. 验证积分方程的解 test solution for integral equation by test()
test( exp(1/4 x), d^-0.5/dx^-0.5 y=2y )

• Index ﻿

## Reference

• Digital Library of Mathematical Functions
• math handbook (Russian)
• Handbook of Special Functions
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