CRN 12109: HW 1 - Revision history

HelmutKnaust at 19:14, 13 September 2013

2013-09-13T19:14:19Z

HelmutKnaust at 16:05, 3 September 2013

2013-09-03T16:05:19Z

HelmutKnaust at 16:04, 3 September 2013

2013-09-03T16:04:53Z

HelmutKnaust: Created page with "'''Problem 1.''' Exercise 1.3.2. '''Problem 2.''' Exercise 1.3.3. '''Problem 3.''' Exercise 1.4.4. '''Problem 4.''' Let $A=\{x\in\mathbb{Q}\ |\ x^2\leq 5\}$. Show that A is..."

2013-09-03T16:01:43Z

Created page with "'''Problem 1.''' Exercise 1.3.2. '''Problem 2.''' Exercise 1.3.3. '''Problem 3.''' Exercise 1.4.4. '''Problem 4.''' Let $A=\{x\in\mathbb{Q}\ |\ x^2\leq 5\}$. Show that A is..."

New page

'''Problem 1.''' Exercise 1.3.2.

'''Problem 2.''' Exercise 1.3.3.

'''Problem 3.''' Exercise 1.4.4.

'''Problem 4.''' Let $A=\{x\in\mathbb{Q}\ |\ x^2\leq 5\}$. Show that A is bounded from above, but that $A$ has no maximum.

'''Problem 5.''' Show that the ''Nested Interval Property'' implies the ''Axiom of Completeness''.

← Older revision		Revision as of 19:14, 13 September 2013
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	'''Problem 4.''' Let $A=\{x\in\mathbb{Q}\ \|\ x^2\leq 5\}$. Show that A is bounded from above, but that $A$ has no maximum.		'''Problem 4.''' Let $A=\{x\in\mathbb{Q}\ \|\ x^2\leq 5\}$. Show that A is bounded from above, but that $A$ has no maximum.

−	'''Problem 5.''' Show that the ''Nested Interval Property'' implies the ''Axiom of Completeness''.	+	'''Problem 5.''' Show that the ''Nested Interval Property'' together with the ''Archimedean Principle'' implies the ''Axiom of Completeness''.

@@ Line 1: / Line 1: @@
 '''Problem 1.''' Exercise 1.3.2.
-'''Problem 2.''' Exercise 1.3.3 (a)(b).
+'''Problem 2.''' Exercise 1.3.3(a)(b).
 '''Problem 3.''' Exercise 1.4.4.