This book will explore all key mathematical methods that need to be learned in order to model a cryocooler with all its various aspects and physical phenomena. The cryocooler will be studied in terms of thermodynamics, harmonic approximations, nodal numerical modelling, 2D and 3D modelling, and hydrodynamic modelling. Furthermore, data analysis methods that employ more recently developed machine learning methods will be explored that improve multi-parameter optimisation methods, and introductory analysis methods for integrating cryocoolers into spacecraft systems will be presented. Key Features: Presents key mathematical methods for modelling physical phenomena of cryocooler systems Includes introductory context and background information that enables a student at graduate level and upwards to get up to speed for the required modelling methodologies Includes helpful examples throughout each chapter to demonstrate how calculations and modelling can be performed Relates the theory and mathematics to practical examples that are relevant to current research in the field, referencing literature throughout the book