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Measure And Integral: An Introduction To Real Analysis (Chapman & Hall/Crc Pure And Applied Mathematics),New
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This Volume Develops The Classical Theory Of The Lebesgue Integral And Some Of Its Applications. The Integral Is Initially Presented In The Context Of Ndimensional Euclidean Space, Following A Thorough Study Of The Concepts Of Outer Measure And Measure. A More General Treatment Of The Integral, Based On An Axiomatic Approach, Is Later Given.Closely Related Topics In Real Variables, Such As Functions Of Bounded Variation, The Riemannstieltjes Integral, Fubinis Theorem, L(P)) Classes, And Various Results About Differentiation Are Examined In Detail. Several Applications Of The Theory To A Specific Branch Of Analysisharmonic Analysisare Also Provided. Among These Applications Are Basic Facts About Convolution Operators And Fourier Series, Including Results For The Conjugate Function And The Hardylittlewood Maximal Function.Measure And Integral: An Introduction To Real Analysis Provides An Introduction To Real Analysis For Student Interested In Mathematics, Statistics, Or Probability. Requiring Only A Basic Familiarity With Advanced Calculus, This Volume Is An Excellent Textbook For Advanced Undergraduate Or Firstyear Graduate Student In These Areas.
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- Q: How many pages does this book have? A: This book contains two hundred eighty-eight pages. It provides comprehensive coverage of real analysis topics.
- Q: What is the binding type of this book? A: This book is bound in hardcover. This durable binding is ideal for long-term use and study.
- Q: What are the dimensions of this book? A: The book measures six and a half inches in length, nine and a half inches in height, and zero point five one inches in width. These dimensions make it portable and easy to handle.
- Q: Is this book suitable for beginners in mathematics? A: Yes, this book is suitable for students with a basic familiarity with advanced calculus. It serves as an excellent introduction to real analysis.
- Q: What topics does this book cover? A: This book covers classical theory of the Lebesgue integral and its applications. It also includes related topics such as functions of bounded variation and harmonic analysis.
- Q: Is this book appropriate for graduate students? A: Yes, this book is designed for advanced undergraduate or first-year graduate students. It provides a solid foundation in real analysis.
- Q: How should I care for this book? A: To keep this book in good condition, store it upright on a shelf. Avoid exposure to moisture and direct sunlight.
- Q: Can this book be used as a textbook? A: Yes, this book is an excellent textbook for courses in real analysis. Its thorough treatment of topics makes it suitable for academic use.
- Q: What if my book arrives damaged? A: If your book arrives damaged, you should contact the seller for a return or exchange. Most sellers will assist with damaged items promptly.
- Q: Is there a warranty for this book? A: No, typically books do not come with a warranty. However, you should check the seller's return policy for any guarantees.
- Q: What is the primary focus of the book? A: The primary focus of the book is the classical theory of the Lebesgue integral. It emphasizes foundational concepts in real analysis.
- Q: Are there practical applications discussed in the book? A: Yes, the book includes applications of the Lebesgue integral to harmonic analysis and convolution operators. These discussions enhance understanding of theoretical concepts.
- Q: Who is the author of this book? A: The author of this book is Richard Wheeden. He is known for his contributions to the field of real analysis.
- Q: Does the book include exercises or problems? A: The book does not specifically mention exercises or problems in the description. It primarily focuses on theoretical concepts.
- Q: What is the ISBN of this book? A: The ISBN is not provided in the details. You may need to look it up online for specific searches.
- Q: Is this book recommended for self-study? A: Yes, this book is suitable for self-study. It provides a detailed introduction to real analysis topics for independent learners.