Unlock advanced calculation methods with “Discrete Taylor Transform and Inverse Transform.” This seminal work introduces a revolutionary new transform technique, the D-TTIT, designed to simplify the computation of mixed derivatives for multivariate functions. Unlike traditional transform methods, D-TTIT places significant emphasis on the “position variable” and “derivative operator,” paving the way for groundbreaking advancements in quantum physics, quantum engineering, electrical engineering, acoustics, and photonics. Explore detailed analyses of functions with one, two, or three independent variables. This book provides essential tools for theoreticians and practitioners to develop novel algorithms and solve complex boundary-value problems, making it an indispensable resource for scientists and engineers seeking cutting-edge research and design capabilities.