Difference between revisions of "MAT5213"

Latest revision as of 21:06, 18 March 2023

Introduction to abstract measure theory and integration.

Week	Topic	Sections from Rudin's Real and Complex Analysis	Prerequisites
1	Abstract integration	Chapter 1	Real Analysis I
2-3	Positive Borel measures	Chapter 2
4-5	Lp spaces	Chapter 3
7-9	Hilbert spaces	Chapter 4
10-12	Complex measures	Chapter 5
13-14	The Radon-Nikodym theorem and its consequences	Chapter 6
15-16	Product spaces and Fubini's theorem	Chapter 7

@@ Line 1: / Line 1: @@
 Introduction to abstract measure theory and integration.
+==Topics List==
+{| class="wikitable sortable"
+! Week !! Topic !! Sections from Rudin's Real and Complex Analysis !! Prerequisites
+|-
+|  1
+|| [[Abstract integration]]
+|| Chapter 1
+|| Real Analysis I
+|-
+|  2-3
+|| [[Positive Borel measures]]
+|| Chapter 2
+||
+|-
+|  4-5
+|| [[Lp spaces]]
+|| Chapter 3
+||
+|-
+|  7-9
+|| [[Hilbert spaces]]
+|| Chapter 4
+||
+|-
+|  10-12
+|| [[Complex measures]]
+|| Chapter 5
+||
+|-
+|  13-14
+|| [[The Radon-Nikodym theorem and its consequences]]
+|| Chapter 6
+||
+|-
+|  15-16
+|| [[Product spaces and Fubini's theorem]]
+|| Chapter 7
+||
+|}