Introduction to Integration and Measure Theory
Introduction to Integration and Measure Theory
Nielsen, Ole A.
John Wiley & Sons Inc
02/1997
496
Dura
Inglês
9780471595182
15 a 20 dias
878
Descrição não disponível.
LIMITATIONS OF THE RIEMANN INTEGRAL.
Limits of Integrals and Integrability.
Expectations in Probability Theory.
RIEMANN-STIELTJES INTEGRALS.
Riemann-Stieltjes Integrals: Introduction.
Characterization of Riemann-Stieltjes Integrability.
Continuous Linear Functionals on C[a,b].
Riemann-Stieltjes Integrals: Further Properties.
LEBESGUE-STIELTJES INTEGRALS.
The Extension of the Riemann-Stieltjes Integral.
Lebesgue-Stieltjes Integrals.
MEASURE THEORY.
sigma-Algebras and Algebras of Sets.
Measurable Functions.
Measures.
Lebesgue-Stieltjes Measures.
THE ABSTRACT LEBESGUE INTEGRAL.
The Integral Associated with a Measure Space.
The Lebesgue Spaces and Norms.
Absolutely Continuous Measures.
Linear Functionals on the Lebesgue Spaces.
Product Measures and Fubini's Theorem.
Lebesgue Integration and Measures on R?n.
Signed Measures and Complex Measures.
Differentiation.
Convergence of Sequences of Functions.
Measures on Locally Compact Spaces.
Hausdorff Measures and Dimension.
Lorentz Spaces.
Appendices.
Indexes.
Limits of Integrals and Integrability.
Expectations in Probability Theory.
RIEMANN-STIELTJES INTEGRALS.
Riemann-Stieltjes Integrals: Introduction.
Characterization of Riemann-Stieltjes Integrability.
Continuous Linear Functionals on C[a,b].
Riemann-Stieltjes Integrals: Further Properties.
LEBESGUE-STIELTJES INTEGRALS.
The Extension of the Riemann-Stieltjes Integral.
Lebesgue-Stieltjes Integrals.
MEASURE THEORY.
sigma-Algebras and Algebras of Sets.
Measurable Functions.
Measures.
Lebesgue-Stieltjes Measures.
THE ABSTRACT LEBESGUE INTEGRAL.
The Integral Associated with a Measure Space.
The Lebesgue Spaces and Norms.
Absolutely Continuous Measures.
Linear Functionals on the Lebesgue Spaces.
Product Measures and Fubini's Theorem.
Lebesgue Integration and Measures on R?n.
Signed Measures and Complex Measures.
Differentiation.
Convergence of Sequences of Functions.
Measures on Locally Compact Spaces.
Hausdorff Measures and Dimension.
Lorentz Spaces.
Appendices.
Indexes.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
integral; riemann; limits; integrals; theory; probability; riemannstieltjes; characterization; integrability; functionals; linear; continuous; properties; riemannstieltjes integral; extension; algebras
LIMITATIONS OF THE RIEMANN INTEGRAL.
Limits of Integrals and Integrability.
Expectations in Probability Theory.
RIEMANN-STIELTJES INTEGRALS.
Riemann-Stieltjes Integrals: Introduction.
Characterization of Riemann-Stieltjes Integrability.
Continuous Linear Functionals on C[a,b].
Riemann-Stieltjes Integrals: Further Properties.
LEBESGUE-STIELTJES INTEGRALS.
The Extension of the Riemann-Stieltjes Integral.
Lebesgue-Stieltjes Integrals.
MEASURE THEORY.
sigma-Algebras and Algebras of Sets.
Measurable Functions.
Measures.
Lebesgue-Stieltjes Measures.
THE ABSTRACT LEBESGUE INTEGRAL.
The Integral Associated with a Measure Space.
The Lebesgue Spaces and Norms.
Absolutely Continuous Measures.
Linear Functionals on the Lebesgue Spaces.
Product Measures and Fubini's Theorem.
Lebesgue Integration and Measures on R?n.
Signed Measures and Complex Measures.
Differentiation.
Convergence of Sequences of Functions.
Measures on Locally Compact Spaces.
Hausdorff Measures and Dimension.
Lorentz Spaces.
Appendices.
Indexes.
Limits of Integrals and Integrability.
Expectations in Probability Theory.
RIEMANN-STIELTJES INTEGRALS.
Riemann-Stieltjes Integrals: Introduction.
Characterization of Riemann-Stieltjes Integrability.
Continuous Linear Functionals on C[a,b].
Riemann-Stieltjes Integrals: Further Properties.
LEBESGUE-STIELTJES INTEGRALS.
The Extension of the Riemann-Stieltjes Integral.
Lebesgue-Stieltjes Integrals.
MEASURE THEORY.
sigma-Algebras and Algebras of Sets.
Measurable Functions.
Measures.
Lebesgue-Stieltjes Measures.
THE ABSTRACT LEBESGUE INTEGRAL.
The Integral Associated with a Measure Space.
The Lebesgue Spaces and Norms.
Absolutely Continuous Measures.
Linear Functionals on the Lebesgue Spaces.
Product Measures and Fubini's Theorem.
Lebesgue Integration and Measures on R?n.
Signed Measures and Complex Measures.
Differentiation.
Convergence of Sequences of Functions.
Measures on Locally Compact Spaces.
Hausdorff Measures and Dimension.
Lorentz Spaces.
Appendices.
Indexes.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.