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## Details

Genre/Form: | Electronic books |
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Additional Physical Format: | Print version: Ziemer, William P. Modern real analysis. Cham : Springer, 2017 (OCoLC)992784712 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
William P Ziemer |

ISBN: | 9783319646299 331964629X |

OCLC Number: | 1014337124 |

Description: | 1 online resource (xi, 382 pages) |

Contents: | 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. |

Series Title: | Graduate texts in mathematics, 278. |

Responsibility: | William P. Ziemer ; with contributions by Monica Torres. |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

"This book provides an accessible self-contained introduction to modern real analysis suitable for graduate students with an understanding of advanced calculus. It may also provide a useful reference for more experienced mathematicians. The focus of the book is on measure and integration, which are nicely connected to closely related topics such as bounded variations and absolutely continuous functions representations theorems for linear functionals, Sovolev spaces and distribution." (Gareth Speight, Mathematical Reviews, October, 2018) Read more...

*User-contributed reviews*