====== Advance Analysis by Ms. Iqra Liaqat ======
{{ :notes:advance-analysis-iqra-liaqat.jpg?nolink|Advance Analysis by Ms. Iqra Liaqat}}

These notes are send by Ms. [[:people:iqra-liaqat]]. We are really very thankful to her for providing these notes and appreciates her effort to publish these notes on MathCity.org


^ Name  |Advance Analysis  |
^ Sender  |Ms. Iqra Liaqat  |
^ Author  |Unknown  |
^ Pages  |222 pages  |
^ Format  |PDF (see [[::software]] section for PDF Reader) | 
^ Size  |7.92 mB  |

====Contents & Summary====
In this section, the main heading of the definitions are given below.

 <grid>
<col sm="6">
  * Rational numbers
  * Proper subset
  * Function
  * One-one function, onto function
  * Equivalence set
  * Infinite set
  * Denumerable set
  * Countable set
  * Uncountable set
  * Choice functions
  * Cardinal number
  * Finite cardinal number
  * Exponent of cardinals
  * Schroeder Bernstein theorem
  * Continum hypothesis
  * Cantor's theorem
  * Set theory
  * Partially and totally ordered set
  * Similar sets
  * Well ordered set
  * Ordinal numbers
  * Axiom of choice
  * Zorn's lemma
 </col>
<col sm="6"> 
  * Well ordered sets and ordinal numbers
  * Principle of transfinite induction
  * Limit elements
  * Multiplication of ordinals
  * Zorn's lemma
  * Choice functions
  * Set function
  * Finitely additive set function
  * Pre-measure
  * Outer measure
  * Monotone set function
  * Sum of two outer measure
  * Scalar multiplication of an outer measure
  * Difference of two outer measure
  * Lebesgue outer measure
  * $\sigma$-Algebra
  * Borel field
  * Lebesgue measure
  * Measurable function
  * Characteristics functions
  * Simple function
  * Riemann integration
  * Monotone convergence theorem
  * Convergence in measure
   </col>
</grid>
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====Notes of other subjects====
{{topic>ananlysis&nouser&simplelist}}

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