William P. Ziemer
Modern Real Analysis
Modern Real Analysis
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Excellent- More about Modern Real Analysis
This text is a comprehensive resource in real analysis, covering measure and integration, differentiation of measures, functional analysis, Schwartz distributions, the area formula, Sobolev functions, and applications to harmonic functions. It is suitable for graduate students and experienced mathematicians alike and has been improved with new problems and a section on the relationship between Lebesgue and improper integrals.
\n Format: Hardback
\n Length: 382 pages
\n Publication date: 19 December 2017
\n Publisher: Springer International Publishing AG
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This comprehensive text, designed for first-year graduate students in real analysis, offers a modern approach to measure and integration. Presented in a concise and self-contained manner, it follows a logical progression of concepts, starting from simple to complex. The book incorporates several innovative topics, such as differentiation of measures, elements of Functional Analysis, the Riesz Representation Theorem, Schwartz distributions, the area formula, Sobolev functions, and their applications to harmonic functions. Together, these topics provide a solid foundation in real analysis, making it particularly suitable for students embarking on further studies in partial differential equations.
In the second edition of this book, numerous significant enhancements have been made. These include the inclusion of practice problems to reinforce the techniques discussed, as well as a dedicated section exploring the connection between Lebesgue and improper integrals. The text is intended for graduate students with a strong background in advanced calculus, and it also serves as a valuable reference for experienced mathematicians seeking to deepen their understanding of the field.
Overall, Modern Real Analysis is an essential resource for anyone seeking to excel in real analysis, providing a thorough and up-to-date treatment of the subject matter.
\n Weight: 778g\n
Dimension: 244 x 171 x 28 (mm)\n
ISBN-13: 9783319646282\n
Edition number: 2nd ed. 2017\n
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