This compendium provides a broad introduction of original immersed boundary methods and current extension in computational mechanics communities. It highlights a comprehensive review of immersed methods in the context of computational fluid and solid mechanics.More importantly, a complete set of working Fortran 90 codes named as IFEM-ICM for two-dimensional immersed continuum method with mixed finite element formulations for both fluid and solid domains and implicit matrix-free Newton-Krylov iterative solution procedures are provided on a website as stipulated in the preface.This invaluable title will provide useful reference materials and an interesting read for academics, researchers, professionals and students.