{"product_id":"lectures-on-realvalued-functions-9783031953682","title":"Lectures on Realvalued Functions","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cp\u003eChapter 1. Unary and Binary Relations.- Chapter 2. Partial Functions and Functions.- Chapter 3. Elementary Facts on Cardinal Numbers.- Chapter 4. Some Properties of the Continuum.- Chapter 5. The Oscillation of a Real-valued Function at a Point.- Chapter 6. Points of Continuity and Discontinuity of Real-valued Functions.- Chapter 7. Real-valued Monotone Functions.- Chapter 8. Real-valued Convex Functions.- Chapter 9. Semicontinuity of a Real-valued Function at a Point.- Chapter 10. Semicontinuous Real-valued Functions on Quasi-compact Spaces.- Chapter 11. The Banach–Steinhaus Theorem.- Chapter 12. A Characterization of Oscillation Functions.- Chapter 13. Semicontinuity versus Continuity.- Chapter 14. The Outer Measures.- Chapter 15. Finitely Additive and Countably Additive Measures.- Chapter 16. Extensions of Measures.- Chapter 17. Caratheodory’s and Marczewski’s Extension Theorems.- Chapter 18. Positive Linear Functionals.- Chapter 19. The Nonexistence of Universal Countably Additive Measures.- Chapter 20. Radon Measures.- Chapter 21. Invariant and Quasi-invariant Measures.- Chapter 22. Pointwise Limits of Finite Sums of Periodic Functions.- Chapter 23. Absolutely Nonmeasurable Setsin Commutative Groups.- Chapter 24. Radon Spaces.- Chapter 25. Nonmeasurable Sets with respect to Radon Measures.- Chapter 26. The Radon–Nikodym Theorem.- Chapter 27. Decompositions of Linear Functionals.- Chapter 28. Linear Continuous Functionals and Radon Measures.- Chapter 29. Linear Continuous Functionalson a Real Hilbert Space.- Chapter 30. Baire Property in Topological Spaces.- Chapter 31. The Stone–Weierstrass Theorem.- Chapter 32. More on the Function Space C(X).- Chapter 33. Uniformization of Plane Sets by Relatively Measurable Functions.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Default Title","offer_id":53195493671255,"sku":"9783031953682","price":54.99,"currency_code":"GBP","in_stock":true}],"url":"https:\/\/bookcurl.com\/products\/lectures-on-realvalued-functions-9783031953682","provider":"Book Curl","version":"1.0","type":"link"}