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659586
Real Analysis: Modern Techniques and Their Applications (Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts)
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Item #:
659586
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This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject.
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What Stands Out
Comprehensive Coverage
This edition offers an extensive range of topics in real analysis, integrating modern techniques that cater to both theoretical and practical applications for students and professionals alike.
Focused Applications
The book bridges the gap between abstract concepts and real-world applications, helping readers understand how real analysis can be applied in various scientific fields and industry problems.
Enhanced Clarity
With improved exercises and clear explanations, this updated edition ensures readers grasp complex ideas effectively, making it an essential resource for advanced mathematics courses.
Product Details
- An in-depth look at real analysis and its applications-now expanded and revised. This new edition of the widely used analysis book continues to cover real analysis in greater detail and at a more advanced level than most books on the subject. Encompassing several subjects that underlie much of modern analysis, the book focuses on measure and integration theory, point set topology, and the basics of functional analysis. It illustrates the use of the general theories and introduces readers to other branches of analysis such as Fourier analysis, distribution theory, and probability theory. This edition is bolstered in content as well as in scope-extending its usefulness to students outside of pure analysis as well as those interested in dynamical systems. The numerous exercises, extensive bibliography, and review chapter on sets and metric spaces make Real Analysis: Modern Techniques and Their Applications, Second Edition invaluable for students in graduate-level analysis courses. New features include: * Revised material on the n-dimensional Lebesgue integral. * An improved proof of Tychonoff's theorem. * Expanded material on Fourier analysis. * A newly written chapter devoted to distributions and differential equations. * Updated material on Hausdorff dimension and fractal dimension.
| Publisher | Wiley |
| Publication date | April 7, 1999 |
| Edition | 2nd |
| Language | English |
| Print length | 416 pages |
| ISBN-10 | 0471317160 |
| ISBN-13 | 978-0471317166 |
| Item Weight | 1.7 pounds (770 grams) |
| Dimensions | 6.4 x 1.1 x 9.4 inches (16.3 x 2.8 x 23.9 cm) |
| Part of series | Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts |
Who Should Buy?
-
Advanced Students
Ideal for graduate students needing a comprehensive understanding of real analysis techniques and their practical applications.
-
Research Professionals
Beneficial for researchers requiring advanced methods in real analysis for innovative problem solving in various fields.
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Mathematics Educators
Useful for educators looking for a strong resource to teach real analysis concepts effectively to their students.
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Beginners
Not suitable for newcomers to mathematics, as the concepts can be too advanced without prior knowledge of fundamentals.
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Features & Benefits
- Advanced and detailed coverage of real analysis and applications
- Focuses on measure and integration theory, point set topology, and functional analysis basics
- Introduces readers to branches like Fourier analysis, distribution theory, and probability theory
- Useful for students in graduate-level analysis courses and those interested in dynamical systems
- Features revised material on n-dimensional Lebesgue integral and expanded content on Fourier analysis
- Includes exercises, bibliography, and review chapter on sets and metric spaces
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