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3级目录 Level 3 Catalog

1级目录 - 2级目录 - 4级目录 - 5级目录 - 索引 - 帮助 - 在线阅读 Level 1 Directory - Level 2 Directory - Level 4 Directory - Level 5 Directory - Index - Help - Read Online

第一章代数、三角公式与初等函数? Chapter 1: Algebra, Trigonometric Formulas, and Elementary Functions ?
第二章初等几何图形的计算与作图? Chapter 2 Calculation and Mapping of Elementary Geometry ?
第三章代数方程? Chapter 3 Algebraic Equations ?
第四章矩阵行列式线性方程组? Chapter 4 Matrix Determinant Linear Equations ?
第五章微分学? Chapter 5 Differentials ?
第六章积分学? Chapter 6 Integral Studies ?
第七章解析几何与微分几何? Chapter 7 Analytic and Differential Geometry ?
第八章矢量算法与场论初步+张量算法与黎曼几何初步? Chapter VIII: Vector Algorithm and Field Theory + Tensor Algorithm and Riemann Geometry
第九章抽象代数+线性空间+泛函分析? Chapter 9 Abstract Algebra + Linear Space + Functional Analysis ?
第十章复变函数? Chapter 10 Complex Variable Functions ?
第十一章傅立叶级数与积分变换? Chapter 11 Fourier Series and Integral Transformation ?
第十二章特殊函数? Chapter 12 Special Functions ?
第十三章常微分方程? Chapter 13 Ordinary Differential Equations ?
第十四章偏微分方程? Chapter 14 Partial Differential Equations ?
第十五章积分方程? Chapter 15: Integral Equations ?
第十六章概率统计与随机过程? Chapter 16 Probability Statistics and Stochastic Processes ?
第十七章误差理论与实验数据处理? Chapter 17 Error Theory and Experimental Data Processing ?
第十八章最优化方法? Chapter 18 Optimization Method ?
第十九章有限元法? Chapter XIX Finite Element Method ?
第二十章初等数论? Chapter 20 Elementary Number Theory ?
第二十一章集论与一般拓扑学? Chapter 21 Set Theory and General Topology ?

初等数学 Elementary math Elementary math

第一章Chapter 1 Chapter 1 Chapter 1
代数三角公式初等函数 Algebra, triangle formula and elementary function Algebra, triangle formula and elementary function
第二章Chapter 2 Chapter 2 Chapter 2
初等几何图形的计算与作图Elementary geometry graph computation and plot Elementary geometry graph computation and plot

第三章Chapter 3 Chapter 3 Chapter 3
代数方程 Algebraic equation Algebraic equation

高等数学 Higher Math Higher Math

第四章Chapter 4 Chapter 4 Chapter 4
矩阵· 行列式· 线性方程组Matrix · determinant · system of linear equations Matrix · determinant · system of linear equations

第五章Chapter 5 Chapter 5 Chapter 5
微分学 Differential calculus Differential calculus

  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
  3. 微分 differential `d/dx` sin(x) Differential `d / dx` sin (x)
  4. 分数阶微积分 fractional calculus `d^1.5/dx^1.5` cos(x) Fractional calculus fractional calculus `d ^ 1.5 / dx ^ 1.5` cos (x)
第六章Chapter 6 Chapter 6 Chapter 6
积分学 Integral calculus Integral calculus
  1. 单变量函数的积分 integral of single variable function Integral of single variable function
  2. 多重积分、曲线积分与曲面积分 Multiple integration, curve integration and surface integration
  3. 积分的应用 integral application Integral application
  4. 区域函数 region function `delta(x)` Region function `delta (x)`
  5. 分数阶积分 fractional integral `int sin(x) \ (dx)^(1/2)` Fractional integral `int sin (x) \ (dx) ^ (1/2)`
第七章Chapter 7 Chapter 7
解析几何与微分几何 Analytic geometry and differential geometry Analytic geometry and differential geometry

第八章Chapter 8 Chapter 8
矢量算法与场论·张量算法与黎曼几何 Vector algorithms and field theory * tensor algorithms and Riemannian geometry Vector algorithms and field theory * tensor algorithms and Riemannian geometry

第九章Chapter 9 Chapter 9
抽象代数·线性空间·泛函分析Abstract algebraic - linear space - Functional Analysis Abstract algebraic-linear space-functional analysis

第十章Chapter 10 Chapter 10 Chapter 10
复变函数Complex function Complex function

第十一章Chapter 11 Chapter 11 Chapter 11
积分变换Integral transform Integral transform

第十二章Chapter 12 Chapter 12
特殊函数 Special function Special function

  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. eta 函数 `eta(x)` eta function `eta (x)`
  9. 指数积分 Exponential integral Ei(x) Ein(x) En(x) Exponential integral Ei (x) Ein (x) En (x)
  10. 菲涅耳函数 Fresnel function S(x) C(x) Fresnel function S (x) C (x)
  11. 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. 普西函数 - 双伽玛函数 digamma function `psi(x)` Pusey function - double gamma function digamma function `psi (x)`
    3. 多伽玛函数 polygamma function `psi^((n))(x)` Polygamma function `psi ^ ((n)) (x)`
    4. 不完全伽马函数 Incomplete Gamma function `Gamma(a,x)` Incomplete Gamma function `Gamma (a, x)`
    5. 小伽马函数 smallgamma function `gamma(a,x)` Smallgamma function `gamma (a, x)`
    6. 伽马函数及其相关函数 Gamma function and related functions
    7. 神奇的伽玛函数 Magic Gamma Function
  12. 高斯积分Gaussian integral `Phi(x)` Gaussian integral `Phi (x)`
  13. 調和函数harmonic number H(x) Harmonic number H (x)
  14. 超几何函数 hypergeometric function Hypergeometric function
  15. 勒让德函数Legendre function Legendre function
  16. 勒奇函数 Lerch L(x,a,b) Lerch L (x, a, b)
  17. 对数积分 logarithmic integral li(x) Logarithmic integral li (x)
  18. 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)
  19. 米塔格-累夫勒函数 Mittag-Leffler function `E_0.5(x)` Mittag-Leffler function `E_0.5 (x)`
  20. 正交多项式 orthogonal polynomials Orthogonal polynomials
  21. 多重对数函数 polylog function polylog(a,x) Polylog function polylog (a, x)
  22. zeta 函数 zeta function `zeta(x)` zeta function `zeta (x)`

第十三章Chapter 13 Chapter 13 Chapter 13
常微分方程 Ordinary Differential Equation (ODE) Ordinary Differential Equation (ODE)

  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
    1. 常系数线性微分方程 dsolve ( y''-y' -2y = 0 ) Constant coefficient linear differential equation dsolve ( y ''-y '-2y = 0 )
    2. 齐次线性微分方程通解的求法 The Solution of General Solution of Homogeneous Linear Differential Equation
    3. 非齐次线性微分方程特解的求法 Method for finding special solution of non-homogeneous linear differential equation
    4. 欧拉方程 Euler equation dsolve ( `x^2 (d^2y)/(dx^2)+3x dy/dx+y=0` ) Euler equation dsolve ( `x ^ 2 (d ^ 2y) / (dx ^ 2) + 3x dy / dx + y = 0` )
    5. 齐次线性微分方程的幂级数解法 Power Series Solution of Homogeneous 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. 分数阶微分方程 Fractional differential equation Fractional differential equation
    dsolve ( `d^0.5/dx^0.5` y = 2y ) dsolve ( `d ^ 0.5 / dx ^ 0.5` y = 2y )
  8. 解微分方程solve differential equation by dsolve() Solve differential equation by dsolve ()
    dsolve ( `d^0.5/dx^0.5 y=2y` ) 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 solution for differential equation by test ()
    test( exp(4x), `d^0.5/dx^0.5 y=2y` ) test ( exp (4x), `d ^ 0.5 / dx ^ 0.5 y = 2y` )
  10. 常微分方程2000题 Ordinary Differential Equations 2000

第十四章Chapter 14 Chapter 14
偏微分方程Partial Differential Equation (PDE) Partial Differential Equation (PDE)

第十五章Chapter 15 Chapter 15
积分方程Integral equation Integral equation

  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. 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 Approximate Solution of Integral Equation
  5. 非线性积分方程 nonlinear integral equation Nonlinear integral equation
  6. 分数阶积分方程Fractional integral equation Fractional integral equation
    dsolve ( `d^-0.5/dx^-0.5` y = 2y ) dsolve ( `d ^ -0.5 / dx ^ -0.5` y = 2y )
  7. 解积分方程solve integral equation by dsolve() Solve integral equation by dsolve ()
    dsolve ( `int` y dx = 2y ) dsolve ( `int` y dx = 2y )
    dsolve ( `d^-0.5/dx^-0.5 y=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 solution for integral equation by test ()
    test( exp(1/4 x), `d^-0.5/dx^-0.5 y=2y` ) test ( exp (1/4 x), `d ^ -0.5 / dx ^ -0.5 y = 2y` )

第十六章Chapter 16 Chapter 16
概率统计与随机过程Statistical probability and stochastic processes Statistical probability and stochastic processes

第十七章Chapter 17 Chapter 17
误差理论与实验数据处理Error theory and experimental data processing Error theory and experimental data processing

第十八章Chapter 18 Chapter 18
最优化方法Optimization methods Optimization methods

第十九章Chapter 19 Chapter 19
有限元法Finite element method Finite element method

第二十章Chapter 20 Chapter 20 Chapter 20
初等数论 Elementary number theory Elementary number theory

第二十一章Chapter 21 Chapter 21 Chapter 21
集论与一般拓扑学 Set theory and general topology Set theory and general topology

  • 索引 Index
    参阅 See
    1. 数学 - 数学符号 - 数学索引 Mathematics - Mathematical Symbols - Mathematical Index
    2. 手册 = 中学数学手册 + 数学手册 + 实用数学手册 Handbook = Middle School Mathematics Handbook + Mathematics Handbook + Practical Mathematics Handbook
    3. 初等数学 = 中学数学 = 初中数学 + 高中数学 Elementary Mathematics = Middle School Mathematics = Junior High School Mathematics + High School Mathematics
    4. 高等数学 = 基础数学 ( 代数 + 几何 + 分析 ) + 应用数学 Advanced Mathematics = Basic Mathematics ( Algebra + Geometry + Analysis ) + Applied Mathematics
    5. 公式 - 图表 - 动画 - 立体图 Formula - chart - animation - stereogram
    6. 书单 = 数学 + 物理 + 化学 + 计算机 + 医学 + 英语 - QQ群 614057790下载书 Book list = Mathematics + Physics + Chemistry + Computer + Medicine + English - QQ 群 614057790
    7. 数学手册计算器 = 数学 + 手册 + 计算器 + 计算机代数系统 Math Handbook Calculator = Math + Handbook + Calculator + Computer Algebra System
    8. 例题: example:
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