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微积分
在微积分领域，Mathematica 将几个世纪数学的成果封装在几个功能强大的函数中. 由 Wolfram Research 发明的新方法也在不断地增强，Mathematica 的算法几乎可以用于每个可以求出解析解的积分方程和微分方程中.
精选实例 |
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Differential Equations with Discrete Events
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Dynamically Adjust the Parameters of a Differential Equation
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Explore Classes of Sums
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Find Formulas for Complex Sequences
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Hybrid Dynamical Systems
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Include Delay Differential Equations Directly in Dynamic Simulations
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Integrate a Highly Oscillating Function
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Parametric Differential Equations
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Parametric Sensitivity of the Wave Equation
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Sensitivity Analysis
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Simulate a Bouncing Ball
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Simulate Physical Systems with Collisions
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Use C Code to Solve a Differential Equation
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Verify the Solution to an Equation
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Visualize 3D Riemann Sums
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Visualize the Lorenz Attractor
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Visualize the Solutions to Partial Differential Equations in 3D
参考资料
D (
) — 标量函数或向量函数的偏导数
Dt — 全导数
Integrate (
) — 一重或多重的符号积分
Vector Calculus »
Grad ▪ Div ▪ Curl ▪ Laplacian ▪ ...
CoordinateChartData — 曲线坐标中的计算
Limit — 极限
DSolve — 微分方程的符号解
积分变换»
LaplaceTransform ▪ FourierTransform ▪ Convolve ▪ DiracDelta ▪ ...
Normalize, Orthogonalize — 函数的规范化、正交化
数值计算和精度»
NIntegrate ▪ NDSolve ▪ NMinimize ▪ NSum ▪ ...
微分算子 »
Derivative — 符号和数值导数函数
DifferentialRoot — 线性微分方程数值解的普通表达式
离散微积分»
DifferenceDelta ▪ GeneratingFunction ▪ RSolve ▪ RecurrenceTable ▪ ...
