Algebra - Complex Numbers
Complex Numbers (part 1)
Rectangular to polar form of complex number
Part I: Complex Variables, Lec 1: The Complex Numbers
DeMoivre's Theorem: Raising a Complex Number to a Power, Ex 1
Complex (imaginary) Numbers Part 1
The Polar Form of Complex Numbers
Maths Complex Number Part 1 (Definition, Algerba of complex number) Mathematics CBSE Class X1
Expressing a Complex Number in Trigonometric or Polar Form, Ex 1
Complex Numbers - Graphing, Adding, Subtracting
Determining the Nth Roots of a Complex Number
Algebra 2 4.4c - Complex Numbers, Part 3 - The Complex Plane
Complex Numbers : Equations - Equating real imag. parts : ExamSolutions
Casio fx-991ES Calculator Tutorial #2.1: Complex Numbers_Explained!
Algebra - Complex Numbers
Complex Numbers (part 1)
Rectangular to polar form of complex number
Part I: Complex Variables, Lec 1: The Complex Numbers
DeMoivre's Theorem: Raising a Complex Number to a Power, Ex 1
Complex (imaginary) Numbers Part 1
The Polar Form of Complex Numbers
Maths Complex Number Part 1 (Definition, Algerba of complex number) Mathematics CBSE Class X1
Expressing a Complex Number in Trigonometric or Polar Form, Ex 1
Complex Numbers - Graphing, Adding, Subtracting
Determining the Nth Roots of a Complex Number
Algebra 2 4.4c - Complex Numbers, Part 3 - The Complex Plane
Complex Numbers : Equations - Equating real imag. parts : ExamSolutions
Casio fx-991ES Calculator Tutorial #2.1: Complex Numbers_Explained!
Complex Numbers (part 2)
Complex Numbers : Addition, Subtraction and Multiplication : ExamSolutions
Complex Numbers in Polar Form
Algebra 2 4.4d - Complex Numbers, Part 4 - Mathematical Operations
Algebra 2 4.4f - Complex Numbers, Part 6 - Why We Need Them
IIT-JEE Geometry :Complex Number, Solution of Triangle, Circle and Mathematical Induction
Expressing a Complex Number in Trigonometric or Polar Form, Ex 3
complex number first lecture
Roots of Complex Numbers, Ex 1
A complex number is a number which can be put in the form a + bi, where a and b are real numbers and i is called the imaginary unit, where i2 = −1. In this expression, a is called the real part and b the imaginary part of the complex number. Complex numbers extend the idea of the one-dimensional number line to the two-dimensional complex plane by using the horizontal axis for the real part and the vertical axis for the imaginary part. The complex number Failed to parse (Missing texvc executable; please see math/README to configure.): a+bi
Complex numbers are used in many scientific fields, including engineering, electromagnetism, quantum physics, and applied mathematics, such as chaos theory. Italian mathematician Gerolamo Cardano is the first known to have introduced complex numbers. He called them "fictitious", during his attempts to find solutions to cubic equations in the 16th century.
Complex numbers allow for solutions to certain equations that have no real solution: the equation
has no real solution, since the square of a real number is either 0 or positive. Complex numbers provide a solution to this problem. The idea is to extend the real numbers with the imaginary unit i where Failed to parse (Missing texvc executable; please see math/README to configure.): i^2=-1 , so that solutions to equations like the preceding one can be found. In this case the solutions are −1 ± 3i. In fact not only quadratic equations, but all polynomial equations in a single variable can be solved using complex numbers.