Geophysics

  1. Mathematical and Physical Foundations
    1. Essential Physics Principles
      1. Classical Mechanics
        1. Newton's Laws of Motion
          1. Conservation of Energy
            1. Conservation of Momentum
              1. Conservation of Angular Momentum
              2. Gravitational Physics
                1. Law of Universal Gravitation
                  1. Gravitational Potential
                    1. Gravitational Field
                    2. Elasticity Theory
                      1. Stress Tensor
                        1. Strain Tensor
                          1. Stress-Strain Relationships
                            1. Elastic Moduli
                              1. Young's Modulus
                                1. Shear Modulus
                                  1. Bulk Modulus
                                    1. Poisson's Ratio
                                  2. Wave Physics
                                    1. Wave Equation
                                      1. Types of Waves
                                        1. Wave Propagation
                                          1. Reflection and Refraction
                                            1. Interference and Diffraction
                                            2. Electromagnetic Theory
                                              1. Electric Fields
                                                1. Magnetic Fields
                                                  1. Maxwell's Equations
                                                    1. Electromagnetic Induction
                                                      1. Electromagnetic Waves
                                                      2. Thermodynamics
                                                        1. First Law of Thermodynamics
                                                          1. Second Law of Thermodynamics
                                                            1. Heat Transfer Mechanisms
                                                              1. Conduction
                                                                1. Convection
                                                                  1. Radiation
                                                                2. Fluid Mechanics
                                                                  1. Fluid Properties
                                                                    1. Hydrostatic Pressure
                                                                      1. Flow Regimes
                                                                    2. Mathematical Methods
                                                                      1. Vector Calculus
                                                                        1. Vector Operations
                                                                          1. Gradient
                                                                            1. Divergence
                                                                              1. Curl
                                                                                1. Line Integrals
                                                                                  1. Surface Integrals
                                                                                    1. Volume Integrals
                                                                                    2. Differential Equations
                                                                                      1. Ordinary Differential Equations
                                                                                        1. Partial Differential Equations
                                                                                          1. Boundary Value Problems
                                                                                            1. Initial Value Problems
                                                                                            2. Fourier Analysis
                                                                                              1. Fourier Series
                                                                                                1. Fourier Transform
                                                                                                  1. Discrete Fourier Transform
                                                                                                    1. Fast Fourier Transform
                                                                                                      1. Applications in Signal Processing
                                                                                                      2. Linear Algebra
                                                                                                        1. Matrices and Determinants
                                                                                                          1. Eigenvalues and Eigenvectors
                                                                                                            1. Matrix Decomposition
                                                                                                            2. Tensor Analysis
                                                                                                              1. Tensor Notation
                                                                                                                1. Tensor Operations
                                                                                                                  1. Applications in Geophysics
                                                                                                                  2. Statistics and Probability
                                                                                                                    1. Descriptive Statistics
                                                                                                                      1. Probability Distributions
                                                                                                                        1. Hypothesis Testing
                                                                                                                          1. Error Analysis
                                                                                                                            1. Uncertainty Quantification
                                                                                                                            2. Signal Processing
                                                                                                                              1. Sampling Theory
                                                                                                                                1. Filtering Techniques
                                                                                                                                  1. Noise Reduction
                                                                                                                                    1. Spectral Analysis

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                                                                                                                                1. Introduction to Geophysics

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                                                                                                                                3. Earth's Internal Structure