Title
An Introduction To Lebesgue Integration And Fourier Series (Dover Books On Mathematics)
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This book arose out of the authors' desire to present Lebesgue integration and Fourier series on an undergraduate level, since most undergraduate texts do not cover this material or do so in a cursory way. The result is a clear, concise, wellorganized introduction to such topics as the Riemann integral, measurable sets, properties of measurable sets, measurable functions, the Lebesgue integral, convergence and the Lebesgue integral, pointwise convergence of Fourier series and other subjects.The authors not only cover these topics in a useful and thorough way, they have taken pains to motivate the student by keeping the goals of the theory always in sight, justifying each step of the development in terms of those goals. In addition, whenever possible, new concepts are related to concepts already in the student's repertoire.Finally, to enable readers to test their grasp of the material, the text is supplemented by numerous examples and exercises. Mathematics students as well as students of engineering and science will find here a superb treatment, carefully thought out and well presented , that is ideal for a one semester course. The only prerequisite is a basic knowledge of advanced calculus, including the notions of compactness, continuity, uniform convergence and Riemann integration.
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- Q: What is the page count of this book? A: This book has one hundred ninety-two pages. It offers a comprehensive introduction to Lebesgue integration and Fourier series.
- Q: What are the dimensions of the book? A: The book measures six point eighteen inches in length, zero point thirty-nine inches in width, and nine point twenty-one inches in height. These dimensions make it portable and easy to handle.
- Q: What type of binding does this book have? A: This book is available in paperback binding. Paperback editions are generally lighter and more flexible than hardcover options.
- Q: Who is the author of this book? A: The author of this book is Howard J. Wilcox. He presents complex mathematical concepts in an accessible manner suitable for undergraduates.
- Q: What topics does this book cover? A: This book covers Lebesgue integration, Fourier series, and measurable functions. It is designed to provide a thorough understanding of these mathematical concepts.
- Q: What is the intended audience for this book? A: This book is ideal for undergraduate students of mathematics, engineering, and science. It is designed for those with a basic knowledge of advanced calculus.
- Q: How do I approach the exercises in this book? A: Readers are encouraged to attempt the numerous exercises provided to test their understanding. The exercises are designed to reinforce the material covered in each chapter.
- Q: Is this book suitable for beginners? A: Yes, this book is suitable for beginners who have a foundational understanding of advanced calculus. It builds on existing knowledge to introduce more complex topics.
- Q: Can this book be used for self-study? A: Yes, this book is suitable for self-study. Its clear explanations and structured layout make it an excellent resource for independent learners.
- Q: How should I care for my paperback book? A: To care for your paperback book, store it in a cool, dry place and avoid exposing it to direct sunlight. This helps preserve its condition and readability.
- Q: What is the recommended reading level for this book? A: The recommended reading level for this book is undergraduate. It is designed for students who have completed advanced calculus.
- Q: What if my book arrives damaged? A: If your book arrives damaged, please contact the seller for a replacement or refund. Most sellers have policies in place for damaged items.
- Q: Does this book include examples and exercises? A: Yes, the book includes numerous examples and exercises throughout its chapters. These are intended to help readers apply the concepts learned.
- Q: Is this book useful for engineering students? A: Yes, this book is useful for engineering students. Its coverage of Lebesgue integration and Fourier series is relevant to various engineering disciplines.
- Q: How does this book motivate students? A: This book motivates students by relating new concepts to their existing knowledge. It justifies each step of development in terms of overarching goals.