Mathematics - Lecture 6 "The set of complex numbers" presents the following content: Properties of complex numbers, conjugate of a complex number, operations involving complex numbers, addition and subtraction of complex numbers, multiplication and division of complex numbers. | The Set of Complex Numbers Mathematics 17 Institute of Mathematics, University of the Philippines-Diliman Lecture 6 Math 17 (UP-IMath) The Set of Complex Numbers Lec 6 1 / 15 Outline 1 The Set of Complex Numbers Properties of Complex Numbers Conjugate of a Complex Number Operations Involving Complex Numbers Addition and Subtraction of Complex Numbers Multiplication and Division of Complex Numbers The Powers of i Math 17 (UP-IMath) The Set of Complex Numbers Lec 6 2 / 15 The Set of Complex Numbers Recall: There is no real number b such that b2 = −1. Math 17 (UP-IMath) The Set of Complex Numbers Lec 6 3 / 15 The Set of Complex Numbers Recall: There is no real number b such that b2 = −1. We define i to be a number such that i2 = −1. Math 17 (UP-IMath) The Set of Complex Numbers Lec 6 3 / 15 The Set of Complex Numbers Recall: There is no real number b such that b2 = −1. We define i to be a number such that i2 = −1. A complex number is a number of the form a + b · i, where a and b are real numbers. Math 17 (UP-IMath) The Set of Complex Numbers Lec 6 3 / .
