Search for notes by fellow students, in your own course and all over the country.

Browse our notes for titles which look like what you need, you can preview any of the notes via a sample of the contents. After you're happy these are the notes you're after simply pop them into your shopping cart.

My Basket

You have nothing in your shopping cart yet.

Title: Algebraic form of a complex number and its image on the complex plane
Description: Comprehensive notes and Practicals (Problems and Solutions) covering: -Number Classification -Algebraic form of a complex number -Geometric image of a complex number

Document Preview

Extracts from the notes are below, to see the PDF you'll receive please use the links above


integer:
- natural numbers (positive
integers);
- zero;

- negative integers
...


Real Numbers:
- rational numbers;
- irrational numbers
...

Historically originated in
the search for solutions to
the equation:

x  1
...


An imaginary unit is an
expression:

i  1
with the main property:

i  1
...

3

The sum of a real number
with an imaginary is called
a complex number, for
example:

1 6i,

 4  i
...


For example, the irrational
number e can be considered
complex, because:

e  e  i0
...


If the real part of the complex
number is zero, then
pure
z  0  ib  ib  imaginary
number
...


A complex number is zero if
the real and imaginary parts
are zero
...


The complex number

z  a  ib
can be represented on the
OXY plane as a point M(a;b),
whose coordinates are real
and imaginary parts
...


Is required:
1
...

2
...
numbers on
the complex plane
Title: Algebraic form of a complex number and its image on the complex plane
Description: Comprehensive notes and Practicals (Problems and Solutions) covering: -Number Classification -Algebraic form of a complex number -Geometric image of a complex number