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Complex numbers - University of Technology, Iraq€¦ · complex numbers Two complex numbers are added/subtracted by adding/ subtracting separately the two real parts and the two

Mar 31, 2020

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Page 1: Complex numbers - University of Technology, Iraq€¦ · complex numbers Two complex numbers are added/subtracted by adding/ subtracting separately the two real parts and the two

Complex numbers

Page 2: Complex numbers - University of Technology, Iraq€¦ · complex numbers Two complex numbers are added/subtracted by adding/ subtracting separately the two real parts and the two

Cartesian complex numbers There are several applications of complex numbers in science and engineering, in particular in electrical alternating current theory and in mechanical vector analysis. There are two main forms of complex number –Cartesian form and polar form . If we can add, subtract, multiply and divide complex numbers in both forms and represent the numbers on an Argand diagram then a.c. theory and vector analysis become considerably easier. (i) If the quadratic equation x2 +2x +5 =0 is solved using the quadratic formula then,

Page 3: Complex numbers - University of Technology, Iraq€¦ · complex numbers Two complex numbers are added/subtracted by adding/ subtracting separately the two real parts and the two
Page 4: Complex numbers - University of Technology, Iraq€¦ · complex numbers Two complex numbers are added/subtracted by adding/ subtracting separately the two real parts and the two
Page 5: Complex numbers - University of Technology, Iraq€¦ · complex numbers Two complex numbers are added/subtracted by adding/ subtracting separately the two real parts and the two
Page 6: Complex numbers - University of Technology, Iraq€¦ · complex numbers Two complex numbers are added/subtracted by adding/ subtracting separately the two real parts and the two
Page 7: Complex numbers - University of Technology, Iraq€¦ · complex numbers Two complex numbers are added/subtracted by adding/ subtracting separately the two real parts and the two
Page 8: Complex numbers - University of Technology, Iraq€¦ · complex numbers Two complex numbers are added/subtracted by adding/ subtracting separately the two real parts and the two
Page 9: Complex numbers - University of Technology, Iraq€¦ · complex numbers Two complex numbers are added/subtracted by adding/ subtracting separately the two real parts and the two