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Fourier Series And Orthogonal Functions (Dover Books On Mathematics)
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This Incisive Text Deftly Combines Both Theory And Practical Example To Introduce And Explore Fourier Series And Orthogonal Functions And Applications Of The Fourier Method To The Solution Of Boundaryvalue Problems. Directed To Advanced Undergraduate And Graduate Students In Mathematics As Well As In Physics And Engineering, The Book Requires No Prior Knowledge Of Partial Differential Equations Or Advanced Vector Analysis. Students Familiar With Partial Derivatives, Multiple Integrals, Vectors, And Elementary Differential Equations Will Find The Text Both Accessible And Challenging.The First Three Chapters Of The Book Address Linear Spaces, Orthogonal Functions, And The Fourier Series. Chapter 4 Introduces Legendre Polynomials And Bessel Functions, And Chapter 5 Takes Up Heat And Temperature. The Concluding Chapter 6 Explores Waves And Vibrations And Harmonic Analysis. Several Topics Not Usually Found In Undergraduate Texts Are Included, Among Them Summability Theory, Generalized Functions, And Spherical Harmonics.Throughout The Text Are 570 Exercises Devised To Encourage Students To Review What Has Been Read And To Apply The Theory To Specific Problems. Those Preparing For Further Study In Functional Analysis, Abstract Harmonic Analysis, And Quantum Mechanics Will Find This Book Especially Valuable For The Rigorous Preparation It Provides. Professional Engineers, Physicists, And Mathematicians Seeking To Extend Their Mathematical Horizons Will Find It An Invaluable Reference As Well.
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This product may contain chemicals known to the State of California to cause cancer, birth defects, or other reproductive harm.
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- Q: How many pages does this book have? A: This book has four hundred thirty-two pages. It provides an in-depth exploration of Fourier series and orthogonal functions.
- Q: What is the binding type of this book? A: The binding type is paperback. This makes it lightweight and more accessible for students.
- Q: What are the dimensions of this book? A: The dimensions are five point five one inches in length, zero point seven five inches in width, and eight point five inches in height. These dimensions make it easy to carry.
- Q: What topics does this book cover? A: This book covers Fourier series, orthogonal functions, and their applications. It also includes advanced topics like summability theory and generalized functions.
- Q: Is this book suitable for beginners? A: No, this book is directed towards advanced undergraduate and graduate students. A basic understanding of partial derivatives and differential equations is recommended.
- Q: How can I apply the concepts from this book? A: You can apply the concepts through the five hundred seventy exercises provided throughout the text. These exercises encourage practical understanding and application.
- Q: What is the recommended audience for this book? A: The recommended audience includes advanced undergraduate and graduate students in mathematics, physics, and engineering. Professionals in these fields will also find it valuable.
- Q: Is this book helpful for studying quantum mechanics? A: Yes, this book is especially useful for those preparing for further study in quantum mechanics. It provides rigorous preparation in mathematical principles.
- Q: How do I maintain this book's condition? A: To maintain the book's condition, store it in a dry place and avoid exposure to direct sunlight. Handle it gently to prevent wear.
- Q: What should I do if the book arrives damaged? A: If the book arrives damaged, please contact the seller for a return or replacement. Ensure you provide details and photos of the damage for assistance.
- Q: Are there any exercises included in this book? A: Yes, there are five hundred seventy exercises included throughout the text. They are designed to reinforce learning and application of the theory.
- Q: Does this book include practical examples? A: Yes, the book deftly combines theory with practical examples. This approach helps in understanding the application of Fourier series and orthogonal functions.
- Q: Can I use this book for self-study? A: Yes, this book can be used for self-study. However, prior knowledge in related mathematical concepts is advisable for effective learning.
- Q: What author wrote this book? A: The book is authored by Harry F. Davis. He presents complex mathematical concepts in an accessible manner for students.
- Q: Is this book a good reference for engineers? A: Yes, professional engineers will find this book invaluable as a reference. It extends their mathematical understanding and application.