This book, "Fractional Calculus and Waves in Linear Viscoelasticity" by Francesco Mainardi, published by Imperial College Press in 2010, provides an in-depth exploration of fractional calculus and its applications in the study of waves in linear viscoelastic materials. The book is a comprehensive resource for researchers and students in the fields of mathematics, physics, and engineering. It covers various aspects of fractional calculus, including the definitions and properties of fractional derivatives and integrals, and their applications in modeling viscoelastic behavior. The text also discusses the use of fractional calculus in the analysis of wave propagation in viscoelastic media, with a focus on the mathematical tools required for such analyses. The book includes detailed discussions on the fractional anti-Zener model, the time-spectral function, and the asymptotic representations of Airy functions. It also provides a series of corrections and errata for the text, which include typographical errors, misprints, and omissions. These corrections are essential for ensuring the accuracy and reliability of the information presented in the book. The book also includes a comprehensive bibliography and an index, making it a valuable reference for further study and research. Overall, this book is a significant contribution to the field of fractional calculus and its applications in viscoelasticity, offering a thorough and well-organized treatment of the subject matter.This book, "Fractional Calculus and Waves in Linear Viscoelasticity" by Francesco Mainardi, published by Imperial College Press in 2010, provides an in-depth exploration of fractional calculus and its applications in the study of waves in linear viscoelastic materials. The book is a comprehensive resource for researchers and students in the fields of mathematics, physics, and engineering. It covers various aspects of fractional calculus, including the definitions and properties of fractional derivatives and integrals, and their applications in modeling viscoelastic behavior. The text also discusses the use of fractional calculus in the analysis of wave propagation in viscoelastic media, with a focus on the mathematical tools required for such analyses. The book includes detailed discussions on the fractional anti-Zener model, the time-spectral function, and the asymptotic representations of Airy functions. It also provides a series of corrections and errata for the text, which include typographical errors, misprints, and omissions. These corrections are essential for ensuring the accuracy and reliability of the information presented in the book. The book also includes a comprehensive bibliography and an index, making it a valuable reference for further study and research. Overall, this book is a significant contribution to the field of fractional calculus and its applications in viscoelasticity, offering a thorough and well-organized treatment of the subject matter.