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Theory and Numerical Approximations of Fractional Integrals and Derivatives Cheryl Walker-Esbaugh and Peck curate a much-neededDue to its ubiquity across a variety of fields in science and engineering, fractional calculus has gained momentum in industry and academia. While a number of books and papers introduce either fractional calculus or numerical approximations, no current literature provides a comprehensive collection of both topics. This monograph introduces fundamental information on fractional calculus and provides a detailed treatment of existing numerical