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Viser: Modern Real Analysis
Modern Real Analysis Vital Source e-bog
William P. Ziemer
(2017)
Modern Real Analysis Vital Source e-bog
William P. Ziemer
(2017)
Modern Real Analysis Vital Source e-bog
William P. Ziemer
(2017)
Modern Real Analysis
William P. Ziemer og Monica Torres
(2017)
Sprog: Engelsk
Detaljer om varen
- 2. Udgave
- Vital Source searchable e-book (Reflowable pages)
- Udgiver: Springer Nature (November 2017)
- ISBN: 9783319646299
Bookshelf online: 5 år fra købsdato.
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Detaljer om varen
- 2. Udgave
- Vital Source 90 day rentals (dynamic pages)
- Udgiver: Springer Nature (November 2017)
- ISBN: 9783319646299R90
Bookshelf online: 90 dage fra købsdato.
Bookshelf appen: 90 dage fra købsdato.
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Copy: højest 2 sider i alt kan kopieres (copy/paste)
Detaljer om varen
- 2. Udgave
- Vital Source 180 day rentals (dynamic pages)
- Udgiver: Springer Nature (November 2017)
- ISBN: 9783319646299R180
Bookshelf online: 180 dage fra købsdato.
Bookshelf appen: 180 dage fra købsdato.
Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
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Detaljer om varen
- 2. Udgave
- Hardback
- Udgiver: Springer International Publishing AG (December 2017)
- Forfattere: William P. Ziemer og Monica Torres
- ISBN: 9783319646282
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.
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.