This book aims at the conceptualization, the design, and the development of "Crooklet Transforms". At any platform of problem solving and modeling, numerical analysis and computational tools are required as a part of the mathematical foundations needed to work in computer science. The ultimate aim of developing Crooklet Transforms is to build a platform for 'Third-generation Curvelet Transforms' in overcoming the drawbacks of Second-generation Wavelet and Curvelet Transforms. The computational cost of crooklet transforms is significantly lower than that of wavelet and curvelet transforms. Undoubtedly, crooklet transforms overlook the challenges of space-domain formulation of curvelet transforms.