Inverse Problems and Data Assimilation

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Focused on inverse problems and data assimilation, this introduction serves advanced undergraduates and beginning graduate students in mathematical sciences. It also targets researchers in science and engineering interested in the methodologies relevant to their fields. The authors systematically explore these concepts, introducing an artificial algorithmic time to solve generic inverse problems. Key topics include various estimation and sampling methods, alongside practical examples and exercises, making it suitable for coursework and self-study.