Incluye referencias bibliográficas e índice

Chapter 1: Introduction -- Chapter 2: Overview of Linear Algebra -- Chapter 3:- Univariate Distribution Theory -- Chapter 4: Multivariate Distribution Theory -- Chapter 5: Introduction to Calculus of Variation -- Chapter 6: Introduction to Control Theory -- Chapter 7: Optimal Control Theory -- Chapter 8: Numerical Solutions to Initial Value Problems -- Chapter 9: Numerical Solutions to Boundary Value Problems -- Chapter 10: Introduction to Semi-Lagrangian Advection Methods -- Chapter 11: Introduction to Finite Element Modeling -- Chapter 12: Numerical Modeling on the Sphere -- Chapter 13: Tangent Linear Modeling and Adjoints -- Chapter 14: Observations -- Chapter 15: Non-Variational Sequential Data Assimilation Methods -- Chapter 16: Variational Data Assimilation -- Chapter 17: Subcomponents of Variational Data Assimilation -- Chapter 18: Observation Space Variational Data Assimilation Methods -- Chapter 19: Kalman Filter and Smoother -- Chapter 20: Ensemble-Based Data Assimilation -- Chapter 21: Non-Gaussian Based Data Assimilation -- Chapter 22: Markov Chain Monte Carlo, Particle Filters, Particle Smoothers, and Sigma Point Filters -- Chapter 23: Lagrangian Data Assimilation -- Chapter 24: Artificial Intelligence and Data Assimilation -- Chapter 25: Applications of Data Assimilation in the Geosciences -- Chapter 26: Solutions to Select Exercise