CHAPTER 1: Introduction
September 29, 2016
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Developement of Discreate Mathematics
Discrete mathematics is the branch of mathematics that studies the principles
in discrete structures and binary universe. The principles are essential in
implementing the e
CHAPTER 4: Function
September 18, 2016
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Function Defined on General Sets
Definition 1.1
A function f from a set X to a set Y is relation between element of X,
called inputs, and elements of Y , called outputs with the property that each
input is related
CHAPTER 5: Logic
September 20, 2016
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Propositions and Logical Operations
Definition 1.1
A statement or proposition is a declarative sentence that is either true or
false, but not both.
Example 1
i. The earth is round
ii. 2 + 3 = 5
iii. Do you speak Engli
CHAPTER 2: NUMBER THEORY
September 17, 2016
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Modular Arithmetic
Definition 1.1
if a and b are integers with a 6= 0, we say that a divides b if there is an integer
c such that b = ac, or equivalently, if b/a is an integer.
When a divides b, we say that a
CHAPTER 3: Set and Relation
September 17, 2016
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Definition of Set
Definition 1.1
A set is an unordered collection of objects, called elements or members of
the set. A set is said to contain its elements. We write a A to denote that
a is an element of the
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