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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Printed edition: |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
B M Makarov; Anatolii Podkorytov |

ISBN: | 9781447151227 1447151224 1447151216 9781447151210 |

OCLC Number: | 850907435 |

Description: | 1 online resource. |

Contents: | Measure -- The Lebesgue Measure -- Measurable Functions -- The Integral -- The Product Measure -- Change of Variables in an Integral -- Integrals Dependent on a Parameter -- Surface Integrals -- Approximation and Convolution in the Spaces -- Fourier Series and the Fourier Transform -- Charges. The Radon-Nikodym Theorem -- Integral Representation of Linear Functionals. |

Series Title: | Universitext. |

Responsibility: | Boris Makarov, Anatolii Podkorytov. |

### Abstract:

This book provides an introduction to Lebesgue measure and integration as well as the classical results concerning integrals of multivariable functions. It features over 600 examples.
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## Reviews

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Publisher Synopsis

From the reviews: "The book contains enough material for a good three-semester graduate course in analysis. Complete proofs are given for all results, and the reader-friendly, exposition style presents lots of details and motivational tips throughout. ... Summing Up: Highly recommended. Graduate students." (D. M. Ha, Choice, Vol. 51 (10), June, 2014) Read more...

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## Similar Items

### Related Subjects:(6)

- Mathematical analysis.
- Mathematics.
- Fourier analysis.
- Geometry.
- Measure and Integration.
- Real Functions.