MAT5213 - Revision history

Jose.iovino: /* Topics List */

2023-03-19T03:06:26Z

Topics List

2023-03-12T19:11:40Z

2023-03-12T19:11:20Z

Topics List

2023-03-12T19:10:48Z

First version by Jose Iovino

2023-03-12T19:00:15Z

2023-03-09T21:05:01Z

Created page with "Introduction to abstract measure theory and integration."

New page

Introduction to abstract measure theory and integration.

@@ Line 8: / Line 8: @@
 || [[Abstract integration]]
 || Chapter 1
-|| Real Analysis I.
+|| Real Analysis I
 |-
 |  2-3

@@ Line 32: / Line 32: @@
 |  13-14
 || [[The Radon-Nikodym theorem and its consequences]]
-|| Chapter 5
+|| Chapter 6
 ||
 |-
 |  15-16
 || [[Product spaces and Fubini's theorem]]
-|| Chapter 6
+|| Chapter 7
 ||
 |}

@@ Line 26: / Line 26: @@
 |-
 |  10-12
-|| [[Complex measures]
+|| [[Complex measures]]
 || Chapter 5
 ||

@@ Line 3: / Line 3: @@
 ==Topics List==
 {| class="wikitable sortable"
-! Week !! Topic !! Sections from Royden !! Prerequisites
+! Week !! Topic !! Sections from Rudin's Real and Complex Analysis !! Prerequisites
 |-
 |  1
-|| [[Review of the field and completeness axions]]
+|| [[Abstract integration]]
-|| 1.1-1.3
+|| Chapter 1
-|| Undergraduate real analysis.
+|| Real Analysis I.
 |-
 |  2-3
-|| [[Topology of the real line]]
+|| [[Positive Borel measures]]
-|| 1.4-1.6
+|| Chapter 2
 ||
 |-
 |  4-5
-|| [[Lebesgue measurable sets]]
+|| [[Lp spaces]]
-|| 2.1-2.7
+|| Chapter 3
 ||
 |-
 |  7-9
-|| [[Lebesgue measurable sets]]
+|| [[Hilbert spaces]]
-|| 2.1-2.7
+|| Chapter 4
 ||
 |-
 |  10-12
-|| [[Lebesgue integration]]
+|| [[Complex measures]
-|| 4.1-4.6
+|| Chapter 5
 ||
 |}

← Older revision		Revision as of 19:00, 12 March 2023
Line 1:		Line 1:
	Introduction to abstract measure theory and integration.		Introduction to abstract measure theory and integration.
		+
		+	==Topics List==
		+	{\| class="wikitable sortable"
		+	! Week !! Topic !! Sections from Royden !! Prerequisites
		+	\|-
		+	\| 1
		+	\|\| [[Review of the field and completeness axions]]
		+	\|\| 1.1-1.3
		+	\|\| Undergraduate real analysis.
		+	\|-
		+	\| 2-3
		+	\|\| [[Topology of the real line]]
		+	\|\| 1.4-1.6
		+	\|\|
		+	\|-
		+	\| 4-5
		+	\|\| [[Lebesgue measurable sets]]
		+	\|\| 2.1-2.7
		+	\|\|
		+	\|-
		+	\| 7-9
		+	\|\| [[Lebesgue measurable sets]]
		+	\|\| 2.1-2.7
		+	\|\|
		+	\|-
		+	\| 10-12
		+	\|\| [[Lebesgue integration]]
		+	\|\| 4.1-4.6
		+	\|\|
		+	\|}