Measure, Integration and a Primer on Probability Theory
portes grátis
Measure, Integration and a Primer on Probability Theory
Volume 1
Gentili, Stefano; Chiossi, Simon G.
Springer Nature Switzerland AG
12/2020
463
Mole
Inglês
9783030549398
15 a 20 dias
851
Descrição não disponível.
Part I Sets: 1 Round-up of topology.- 2 Types of sets.- Part II Borel sets and Baire functions on R: 3 Borel sets in R.- 4.Baire functions on R.- 5 Borel functions and Baire functions.- Part III Families of sets: 6 Semi-algebras and algebras of sets .- 7. Monotone classes and ?-algebras.- Part IV Measure theory: 8. Set functions and measure.- 9 The Lebesgue measure.- 10. Measurable functions.- Part V Theory of integration: 11 The Lebesgue integral.- 12 Comparing notions of integral.- Part VI Fundamental theorems of integral calculus: 13 Bounded variations and absolute continuity.- 14 Fundamental theorems of calculus for the Lebesgue integral.- Part VII Appendices: A Compact and totally bounded metric spaces.- B Urysohn's lemma and Tietze's theorem.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
Measure and Integration Theory;Real Analysis;Introduction to Functional Analysis;Fourier Analysis;Probability Theory
Part I Sets: 1 Round-up of topology.- 2 Types of sets.- Part II Borel sets and Baire functions on R: 3 Borel sets in R.- 4.Baire functions on R.- 5 Borel functions and Baire functions.- Part III Families of sets: 6 Semi-algebras and algebras of sets .- 7. Monotone classes and ?-algebras.- Part IV Measure theory: 8. Set functions and measure.- 9 The Lebesgue measure.- 10. Measurable functions.- Part V Theory of integration: 11 The Lebesgue integral.- 12 Comparing notions of integral.- Part VI Fundamental theorems of integral calculus: 13 Bounded variations and absolute continuity.- 14 Fundamental theorems of calculus for the Lebesgue integral.- Part VII Appendices: A Compact and totally bounded metric spaces.- B Urysohn's lemma and Tietze's theorem.
Este título pertence ao(s) assunto(s) indicados(s). Para ver outros títulos clique no assunto desejado.
