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Numéro d'article:
2025813
Singular Integrals and Differentiability Properties of Functions. (PMS-30)
Numéro d'article:
2025813
€ 135
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Stein takes arcane material, previously understood only by specialists, and makes it accessible even to beginning graduate students.
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Détails du produit
- Singular integrals are among the most interesting and important objects of study in analysis, one of the three main branches of mathematics. They deal with real and complex numbers and their functions. In this book, Princeton professor Elias Stein, a leading mathematical innovator as well as a gifted expositor, produced what has been called the most influential mathematics text in the last thirty-five years. One reason for its success as a text is its almost legendary presentation: Stein takes arcane material, previously understood only by specialists, and makes it accessible even to beginning graduate students. Readers have reflected that when you read this book, not only do you see that the greats of the past have done exciting work, but you also feel inspired that you can master the subject and contribute to it yourself. Singular integrals were known to only a few specialists when Stein's book was first published. Over time, however, the book has inspired a whole generation of researchers to apply its methods to a broad range of problems in many disciplines, including engineering, biology, and finance. Stein has received numerous awards for his research, including the Wolf Prize of Israel, the Steele Prize, and the National Medal of Science. He has published eight books with Princeton, including Real Analysis in 2005.
| Publisher | Princeton University Press |
| Publication date | February 1, 1971 |
| Language | English |
| Print length | 304 pages |
| ISBN-10 | 0691080798 |
| ISBN-13 | 978-0691080796 |
| Item Weight | 1.25 pounds (570 grams) |
| Dimensions | 6.5 x 0.75 x 9.5 inches (16.5 x 1.9 x 24.1 cm) |
| Book 9 of 29 | Princeton Mathematical |
DESCRIPTION DU PRODUIT
Singular Integrals and Differentiability Properties of Functions. (PMS-30)
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Questions et réponses des clients
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question:
Who is the author of this book?
répondre: The author is Princeton professor Elias Stein. -
question:
What topics does this book cover?
répondre: It covers singular integrals and their differentiability properties in real and complex analysis. -
question:
Who is the intended audience for this book?
répondre: It is aimed at beginning graduate students and anyone interested in advanced mathematical concepts.
Differential Equations Editorial Review
** Singular Integrals and Differentiability Properties of Functions (PMS-30)** The book "Singular Integrals and Differentiability Properties of Functions" by E. Stein has garnered significant acclaim from readers with a deep interest in mathematical analysis, particularly those focusing on harmonic analysis. Readers have noted a transformative experience while engaging with the content, describing it not only as a comprehensive reference but also as a source of elegance in theorems and proofs related to integral estimates. The author’s ability to connect complex mathematical concepts with geometric intuition has been widely appreciated, changing many readers' perspectives on the discipline. The book’s structure is another highlight, featuring a well-organized progression of topics—from foundational concepts in real-variable theory to advanced discussions on Riesz transforms, Poisson integrals, and the Littlewood-Paley theory. This thoughtful organization not only serves as an excellent educational resource for graduate students but also holds value for practitioners seeking to deepen their understanding of important analytical themes. The inclusion of exercises, referred to as "further results," encourages active engagement and fosters a research-oriented mindset. However, some criticism has surfaced regarding the clarity of the book’s printing. Readers reported that certain symbols were difficult to discern, which could pose challenges, especially at a scholarly level where precision is paramount. Despite this drawback, the overall sentiment is overwhelmingly positive, with many recommending it as an essential read for anyone serious about advancing in the analysis field. In conclusion, "Singular Integrals and Differentiability Properties of Functions" is more than a textbook; it is a journey through several significant topics in analysis, knitting together conceptual understanding and practical applications while inspiring mathematicians to explore further. **
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Avantages
- Clear exposition of complex topics.
- An elegant presentation of theorems and proofs.
- Well-structured content with logical progression.
- Rich exercises that act as mini research projects.
- Valuable reference for both specialists and general mathematicians.
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€ 135
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Caractéristiques et avantages
- Author Elias Stein is a leading mathematical innovator.
- The book transforms complex topics into accessible content for beginners.
- Influential text that has inspired a generation of researchers.
- Applies singular integrals to various disciplines: engineering, biology, finance.
- Recognized with prestigious awards including the National Medal of Science.
- Part of a respected series published by Princeton University Press.