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# int 数学手册 dx = sum math Handbook .com int math manual dx = sum math Handbook .com

## 3级目录 Level 3 Catalog

### 高等数学 Higher Math Higher Math

1. 序列与函数的极限 sequence and function limit Sequence and function limit
2. 级数的收敛与运算 seres restraining and operation Seres restraining and operation

1. 伯努利数伯努利多项式 Bernoulli numbers and Bernoulli polynomials Bernoulli numbers and Bernoulli polynomials
2. 贝塞耳函数Bessel function Bessel function
3. 贝塔函数 Beta function B(x,n) Beta function B (x, n)
4. 小贝塔函数beta function beta(x) Beta function beta (x)
5. 椭圆积分 Elliptic integral Elliptic integral
6. 椭圆函数Elliptic function Elliptic function
7. 概率积分(误差函数) Error function erf(x) erfi(x) Probability integral (error function) Error function erf (x) erfi (x)
8. 指数积分 Exponential integral Ei(x) Ein(x) En(x) Exponential integral Ei (x) Ein (x) En (x)
9. 菲涅耳函数 Fresnel function S(x) C(x) Fresnel function S (x) C (x)
10. 伽马函数 Gamma function Gamma(x) Gamma function Gamma (x)
1. 对数伽马函数log Gamma function logGamma(x) Log Gamma function logGamma (x)
2. 多伽玛函数 polygamma function psi^((n))(x) Polygamma function psi ^ ((n)) (x)
3. 不完全伽马函数 Incomplete Gamma function Gamma(a,x) Incomplete Gamma function Gamma (a, x)
4. 小伽马函数 smallgamma function gamma(a,x) Smallgamma function gamma (a, x)
11. 調和函数harmonic number H(x) Harmonic number H (x)
12. 超几何函数 hypergeometric function Hypergeometric function
13. 勒让德函数Legendre function Legendre function
14. 对数积分 logarithmic integral li(x) Logarithmic integral li (x)
15. 正弦积分与余弦积分 sine and cosine integral si(x) ci(x) Sine and cosine integral si (x) ci (x)
16. Mittag-Leffler function E_0.5 (x)
17. 正交多项式 orthogonal polynomials Orthogonal polynomials
18. 多重对数函数 polylog function polylog(a,x) Polylog function polylog (a, x)
19. zeta 函数 zeta function zeta(x) zeta function zeta (x)

1. 微分方程的一般概念 General concept of differential equations General concept of differential equations
2. 一阶微分方程 First order differential equation dsolve ( y' -2y = 0 ) First order differential equation dsolve ( y ' -2y = 0 )
3. 线性微分方程 linear differential equation 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 Higher order differential equations and system of differential equations
5. 稳定性理论大意 stability theory Stability theory
6. 常微分方程的数值解法 Numerical Solution of Ordinary Differential Equations Numerical Solution of Ordinary Differential Equations

7. 解微分方程solve differential equation by dsolve() Solve differential equation by dsolve ()
8. 验证微分方程的解test solution for differential equation by test() Test solution for differential equation by test ()

1. 积分方程一般概念与弗雷德霍姆方程 The general concept The general concept of integral equations and the Fredholm equation
2. 积分方程的近似解法 Approximate Solution of Integral Equation Approximate Solution of Integral Equation
3. 非线性积分方程 nonlinear integral equation Nonlinear integral equation

4. 解积分方程solve integral equation by dsolve() Solve integral equation by dsolve ()

5. 验证积分方程的解test solution for integral equation by test() Test solution for integral equation by test ()

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