This handbook presents many known results as well as new classes of integrals, series, power expansions, and productions of elementary and special functions. It shows how modern computer algebra methods are used to solve various problems in science and engineering. The first volume of the set focuses on elementary functions, covering indefinite and definite integrals, finite sums, and indefinite series. It also includes formulas that can be used in the evaluation and transformation of integrals and series. The second volume of the set contains formulas devoted to mathematical physics, including the Meijer G-function and properties of hypergeometric functions. Using these tools, readers can evaluate and simplify numerous new integrals and sums.