Special Functions for Scientists and Engineers, written by W. W. Bell, is a comprehensive guide to mathematical functions that are commonly used in science and engineering. The book covers a wide range of special functions, from elementary functions like polynomials and exponentials to more advanced functions like hypergeometric functions and Bessel functions.
The book is divided into several chapters, each of which covers a specific type of special function. The first chapter provides an introduction to special functions and lays out some of the basic concepts and definitions. The following chapters cover specific types of special functions, including orthogonal functions, hypergeometric functions, Bessel functions, Legendre functions, and more.
Each chapter begins with a discussion of the properties and characteristics of the special functions covered in that chapter. The author provides detailed explanations of the mathematical concepts involved and illustrates them with numerous examples and diagrams. The book also includes many exercises and problems that help readers to practice and reinforce their understanding of the material.
One of the strengths of Special Functions for Scientists and Engineers is its emphasis on applications. Throughout the book, the author provides examples of how the special functions covered in each chapter are used in scientific and engineering contexts. This makes the book a valuable resource for anyone who needs to apply mathematical functions in their work.
The writing style of the book is clear and accessible, making it suitable for a wide range of readers, including students, researchers, and professionals in science and engineering. The book assumes a basic knowledge of calculus and mathematical analysis, but the author provides enough background information to make the material accessible to readers with a variety of mathematical backgrounds.
Overall, Special Functions for Scientists and Engineers is an excellent resource for anyone who needs to work with mathematical functions in science and engineering. The book provides a comprehensive overview of a wide range of special functions and their applications, making it a valuable reference for researchers and professionals in these fields.