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Fourier Series, Transforms, and Boundary Value Problems: Second Edition (Dover Books on Mathematics),New
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This introduction to Fourier and transform methods emphasizes basic techniques rather than theoretical concepts. It explains the essentials of the Fourier method and presents detailed considerations of modeling and solutions of physical problems. All solutions feature welldrawn outlines that allow students to follow an appropriate sequence of steps, and many of the exercises include answers.The chief focus of this text is the application of the Fourier method to physical problems, which are described mathematically in terms of boundary value problems. Problems involving separation of variables, SturmLiouville theory, superposition, and boundary complaints are addressed in a logical sequence. Multidimensional Fourier series solutions and Fourier integral solutions on unbounded domains are followed by the special functions of Bessel and Legendre, which are introduced to deal with the cylindrical and spherical geometry of boundary value problems. Students and professionals in mathematics, the physical sciences, and engineering will find this volume an excellent study guide and resource.
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- Q: What topics are covered in 'Fourier Series, Transforms, and Boundary Value Problems'? A: The book covers Fourier methods, transform methods, modeling physical problems, boundary value problems, separation of variables, Sturm-Liouville theory, and special functions such as Bessel and Legendre.
- Q: Who is the author of this book? A: The author of 'Fourier Series, Transforms, and Boundary Value Problems' is J. Ray Hanna.
- Q: What is the publication date of this book? A: The book was published on June 11, 2008.
- Q: What is the format of this book? A: This edition is available in paperback format.
- Q: How many pages does this book have? A: The book contains a total of 368 pages.
- Q: Is this book suitable for beginners? A: Yes, the book is designed as an introduction to Fourier and transform methods, making it suitable for beginners in mathematics and engineering.
- Q: Are answers provided for the exercises in the book? A: Yes, many of the exercises in the book include answers to help students understand the material.
- Q: What educational level is this book aimed at? A: The book is aimed at students and professionals in mathematics, the physical sciences, and engineering.
- Q: Does this book focus more on theory or applications? A: This book emphasizes applications of Fourier methods to physical problems rather than theoretical concepts.
- Q: Can this book help with boundary value problem modeling? A: Yes, it presents detailed considerations of modeling and solutions of physical problems, specifically related to boundary value problems.