Author | Cohn, Donald L. author |
---|---|

Title | Measure Theory [electronic resource] / by Donald L. Cohn |

Imprint | Boston, MA : Birkhรคuser Boston : Imprint: Birkhรคuser, 1980 |

Connect to | http://dx.doi.org/10.1007/978-1-4899-0399-0 |

Descript | IX, 373 p. online resource |

SUMMARY

Intended as a self-contained introduction to measure theory, this textbook also includesย a comprehensive treatment of integration on locally compact Hausdorff spaces, the analytic and Borel subsets of Polish spaces, and Haar measures on locally compact groups. Measure Theory provides a solid background for study in both harmonic analysis and probability theory and is an excellent resource for advanced undergraduate and graduate students in mathematics. The prerequisites for this book are courses in topology and analysis

CONTENT

1. Measures -- 2. Functions and Integrals -- 3. Convergence -- 4. Signed and Complex Measures -- 5. Product Measures -- 6. Differentiation -- 7. Measures on Locally Compact Spaces -- 8. Polish Spaces and Analytic Sets -- 9. Haar Measure -- Appendices -- A. Notation and set theory -- B. Algebra -- C. Calculus and topology in R -- D. Topological spaces and metric spaces -- E. The Bochner integral -- Index of notation

Mathematics
Measure theory
Probabilities
Mathematics
Probability Theory and Stochastic Processes
Measure and Integration