Finite Differences Simply Explained is a practical, beginner-friendly introduction to one of the most important numerical techniques in engineering, mathematics, physics, and computer science. Using clear explanations, step-by-step examples, and simple mathematics, this concise guide shows how finite differences can be used to approximate derivatives, analyze data, and solve real-world scientific and engineering problems. Readers will learn forward, backward, and central differences, difference tables, numerical differentiation, higher-order differences, and their applications in areas such as motion, heat transfer, and structural analysis. The book includes numerous worked examples, practice exercises, detailed solutions, and easy-to-follow diagrams, making it an excellent resource for students, educators, self-learners, and practicing engineers seeking a clear and accessible introduction to finite difference methods.