Ruda's Personal Wiki

• Academic Disciplines
• Categories of Methodology

Mathematics

Algebra	Analysis	Dynamical System
Linear Algebra	Mathematical Analysis	Ordinary Differential Equations
Abstract Algebra	Real Analysis	Partial Differential Equations
Matrix Theory	Complex Analysis	Governing Equations
	Functional Analysis

Probability	Statistics	Applied Math
Axiomatic Probability	Statistical Inference	Information theory
Random Variable	Classification and regression	Math models
Random Process	Clustering	Optimization
	Dimensionality reduction

Topics:

• Development of Common Mathematic Structures
• Duality
• Math vs. Formal Sciences

Physics

Mechanics	Classical Physics	Modern Physics
Classical Mechanics	Thermodynamics	Special relativity
Fluid Mechanics	Electromagnetism	Quantum physics
Material Mechanics	Optics	Atomic physics
Solid Mechanics		Nuclear physics
Structural Mechanics

Topics:

• Variational principles in mechanics
• GeneralScience

Engineering

Computing

• Algorithm and Data Structure
• Machine Learning (Algorithms) and Data Mining (Practices)
• Numerical Analysis and Numerical Differential Equations
• Computational Linguistics

Geographic Information System

Principles, Data Format, Geoprocessing, Scientific Uses

Petroleum

• Poromechanics
• Reservoir Numerical Simulation

Economics

经济解释

Game Theory

Econometrics

• Econometrics
• Applied Econometrics