Earth System Modeling, Data Assimilation, and Predictability: Atmosphere, Oceans, Land and Human Systems, 2nd Edition, EugeniaKalnay, SofaMote and ChengDa, Cambridge University Press, 2024, Paperback £49.99, 340 pp., ISBN 978‐1‐10‐740146‐4

Kalnay's 2002 book, 'Atmospheric Modeling, Data Assimilation, and Predictability' , published by the same publisher.The title suggests broad Earth system coverage, but the focus remains on the atmosphere.The book suits upper-level undergraduate or Master's students with strong backgrounds in atmospheric physics, fluid dynamics, mathematics and statistics, or related fields -I would highly recommend reading Holton and Hakim (2013) beforehand.The writing is clear and engaging, and high-quality colour plots and practical examples enhance understanding.The use of colour plots and figures in Chapter 1, 'An Overview of Numerical Weather Prediction' , especially enhances engagement.The expanded comparison between this edition and Kalnay ( 2002) is a welcome addition that improves the overall presentation.The chapter gives a good introduction to the subject and the rest of the book.Chapter 2, 'The Continuous Equations' , provides a strong introduction to fluid mechanics, essential for understanding atmospheric dynamics.It covers different types of waves, oscillations, approximation and filtering, and concludes with special cases of atmospheric motion equations.The newly added discussions on tropical regions and Kelvin waves are valuable improvements.Chapter 3, which covers 'The Numerical Discretisation of the Equations of Motion' , is