Summary

Summary Notes - Mathematical Proofs, Definitions & more

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Course
Unit FP1 - Further Pure Mathematics 1

Institution
PEARSON (PEARSON)

These comprehensive handwritten notes on mathematical proofs cover key concepts such as sets, Venn diagrams, types of numbers, and various proof techniques. Perfect for UK Edexcel AS and A-Level Math students, they provide clear explanations and examples to enhance your understanding of mathematica...

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Uploaded on June 2, 2024
File latest updated on July 31, 2024
Number of pages 6
Written in 2023/2024
Type Summary

sets
venn diagrams
definitions
intersection
union
types of numbers
natural numbers
real numbers
equivalence
identity equation
proof
key notes
a level
as level
mathematics
maths

Study Level
A/AS Level
Examinator
PEARSON (PEARSON)
Subject
Mathematics 2008
Unit
Unit FP1 - Further Pure Mathematics 1

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Notes
On

Mathematical
Proofs

, ·
lotes on Math Proofs , Notations, Sets and more

·
Based on the UK Edexcel As and A-Level Math course

Notations

·

Sets are collections elements
of
↳ shown
using Curly brackets eg
:
[2 ,
3 , 4
·

The Symbol is the universal Set : the set that contains all other sets
·

The Symbol is used to the set /contains elements
empty no

If an element a is in set A If element s wasn't in set A
we would write :
we would write :

↳ xEA ↳ x(H

The number is written
n(A)
of elements A
·

in a Set as

↳ eg n((2
,
3 ,
43)

Using Rules : To define a set
using rules ,
We can use the following
notation :
·

A =
Ex : SC" = 43 where Ex : ...
3 means all values of e such that. "

Subsets : are jets which are contained within other sets

·

Proper subsets do not contain all sets

-

If A is a subset of B , We write : * CB
-

If A is a proper subset of B, We Write : * CB

-

If A is not a subset of C . We write : A CC

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