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Catalogue Information
Field name	Details
Dewey Class	515.8
Title	Modern Real Analysis ([EBook]) / by William P. Ziemer.
Author	Ziemer, William P.
Other name(s)	SpringerLink (Online service)
Edition statement	2nd ed. 2017.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2017.
Physical Details	XI, 382 p. : online resource.
Series	Graduate texts in mathematics 0072-5285 ; ; 278
ISBN	9783319646299
Summary Note	This first year graduate text is a comprehensive resource in real analysis based on a modern treatment of measure and integration. Presented in a definitive and self-contained manner, it features a natural progression of concepts from simple to difficult. Several innovative topics are featured, including differentiation of measures, elements of Functional Analysis, the Riesz Representation Theorem, Schwartz distributions, the area formula, Sobolev functions and applications to harmonic functions. Together, the selection of topics forms a sound foundation in real analysis that is particularly suited to students going on to further study in partial differential equations. This second edition of Modern Real Analysis contains many substantial improvements, including the addition of problems for practicing techniques, and an entirely new section devoted to the relationship between Lebesgue and improper integrals. Aimed at graduate students with an understanding of advanced calculus, the text will also appeal to more experienced mathematicians as a useful reference. ? ?.:
Contents note	Preface -- 1. Preliminaries -- 2. Real, Cardinal and Ordinal Numbers -- 3. Elements of Topology -- 4. Measure Theory -- 5. Measurable Functions -- 6. Integration -- 7. Differentiation -- 8. Elements of Functional Analysis -- 9. Measures and Linear Functionals -- 10. Distributions -- 11. Functions of Several Variables -- Bibliography -- Index.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
Internet Site	http://dx.doi.org/10.1007/978-3-319-64629-9
Links to Related Works	Subject References: Functional Analysis . Functions of real variables . Mathematics . Measure and Integration . Measure theory . Real Functions . Authors: Ziemer, William P. . Corporate Authors: SpringerLink (Online service) . Series: Graduate texts in mathematics . GTM . Classification: 515.8 .

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Modern Real Analysis

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