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Ch. 1 | Limits of Integrals and Integrability | 3 |
Ch. 2 | Expectations in Probability Theory | 11 |
Ch. 3 | Riemann Stieltjes Integrals: Introduction | 19 |
Ch. 4 | Characterization of Riemann Stieltjes Integrability | 38 |
Ch. 5 | Continuous Linear Functionals on C[a,b] | 54 |
Ch. 6 | Riemann Stieltjes Integrals: Further Properties | 76 |
Ch. 7 | The Extension of the Riemann Stieltjes Integral | 89 |
Ch. 8 | Lebesgue-Stieltjes Integrals | 100 |
Ch. 9 | [sigma]-Algebras and Algebras of Sets | 123 |
Ch. 10 | Measurable Functions | 129 |
Ch. 11 | Measures | 137 |
Ch. 12 | Lebesgue Stieltjes Measures | 160 |
Ch. 13 | The Integral Associated with a Measure Space | 189 |
Ch. 14 | The Lebesgue Spaces and Norms | 209 |
Ch. 15 | Absolutely Continuous Measures | 247 |
Ch. 16 | Linear Functionals on the Lebesgue Spaces | 268 |
Ch. 17 | Product Measures and Fubini's Theorem | 282 |
Ch. 18 | Lebesgue Integration and Measure on [actual symbol not reproducible] | 302 |
Ch. 19 | Signed Measures and Complex Measures | 317 |
Ch. 20 | Differentiation | 341 |
Ch. 21 | Convergence of Sequences of Functions | 367 |
Ch. 22 | Measures on Locally Compact Spaces | 381 |
Ch. 23 | Hausdorff Measures and Dimension | 400 |
Ch. 24 | Lorentz Spaces | 417 |
Appendix A | Continuous Functions, Topology, and Set Theory | 443 |
Appendix B | Functional Analysis | 454 |
Index of Notation | 465 | |
Index | 463 |
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Add An Introduction to Integration and Measure Theory, Vol. 16, This book describes integration and measure theory for readers interested in analysis, engineering, and economics. It gives a systematic account of Riemann-Stieltjes integration and deduces the Lebesgue-Stieltjes measure from the Lebesgue-Stieltjes integr, An Introduction to Integration and Measure Theory, Vol. 16 to the inventory that you are selling on WonderClubX
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Add An Introduction to Integration and Measure Theory, Vol. 16, This book describes integration and measure theory for readers interested in analysis, engineering, and economics. It gives a systematic account of Riemann-Stieltjes integration and deduces the Lebesgue-Stieltjes measure from the Lebesgue-Stieltjes integr, An Introduction to Integration and Measure Theory, Vol. 16 to your collection on WonderClub |