====== Chapter 01: Complex Numbers ======
{{ :bsc:notes_of_mathematical_method:ch01-methods-ads.jpg?nolink&640x800|Chapter 01 Complex Numbers Methods}}
Notes of the book Mathematical Method written by S.M. Yusuf, A. Majeed and M. Amin, published by Ilmi Kitab Khana, Lahore - PAKISTAN. 

A complex number is an element $(x,y)$ of the set
$$
\mathbb{R}^2=\{(x,y): x,y \in \mathbb{R}\}
$$
obeying the following rules of addition and multiplication.

For $z_1=(x_1,y_1)$, $z_2=(x_2,y_2)$, we put
  - $z_1+z_2= (x_1+x_2, y_1+y_2)$
  - $z_1 z_2 = (x_1 x_2 - y_1 y_2, x_1 y_2+y_1 x_2)$
The set $\mathbb{R}^2$ with operation defined above is denoted by $\mathbb{C}$. 

==== Contents and summary ====
  * Complex numbers
  * Properties of complex numbers
  * The Argand's diagram
  * De Moivre's theorem
  * Roots of the complex numbers
  * Basic elementary functions
  * Logarithmic functions
  * Inverse hyperbolic functions
  * Inverse trigonometric functions
  * Complex power
  * Summation of series

====Download PDF or View Online====
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  * **Exercise 1.1** | VIEW [[:BSc:Notes of Mathematical Method:Ch01 Complex Numbers:Viewer?f=ch01/Chap-01-Solutions-Ex-1-1-Method|View online]]  | [[pdf>files/bsc/method/dn.php?file=ch01/Chap-01-Solutions-Ex-1-1-Method.pdf|Download PDF]] (471KB)

  * **Exercise 1.2** | VIEW [[:BSc:Notes of Mathematical Method:Ch01 Complex Numbers:Viewer?f=ch01/Chap-01-Solutions-Ex-1-2-Method|View online]]  | [[pdf>files/bsc/method/dn.php?file=ch01/Chap-01-Solutions-Ex-1-2-Method.pdf|Download PDF]] (1306KB)

  * **Exercise 1.3** | VIEW [[:BSc:Notes of Mathematical Method:Ch01 Complex Numbers:Viewer?f=ch01/Chap-01-Solutions-Ex-1-3-Method|View online]]  | [[pdf>files/bsc/method/dn.php?file=ch01/Chap-01-Solutions-Ex-1-3-Method.pdf|Download PDF]] (1684KB)

  * **Exercise 1.4** | VIEW [[:BSc:Notes of Mathematical Method:Ch01 Complex Numbers:Viewer?f=ch01/Chap-01-Solutions-Ex-1-4-Method|View online]]  | [[pdf>files/bsc/method/dn.php?file=ch01/Chap-01-Solutions-Ex-1-4-Method.pdf|Download PDF]] (654KB)

  * **Exercise 1.5** | VIEW [[:BSc:Notes of Mathematical Method:Ch01 Complex Numbers:Viewer?f=ch01/Chap-01-Solutions-Ex-1-5-Method|View online]]  | [[pdf>files/bsc/method/dn.php?file=ch01/Chap-01-Solutions-Ex-1-5-Method.pdf|Download PDF]] (691KB)
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  * **Exercise 1.1** | VIEW [[:BSc:Notes of Mathematical Method:Ch01 Complex Numbers:Viewer?f=ch01/Ch01-Ex-1-1-Methods-Prof-Tanveer|View online]]  | [[pdf>files/bsc/method/dn.php?file=ch01/Ch01-Ex-1-1-Methods-Prof-Tanveer.pdf|Download PDF]] (715KB) NEW

  * **Exercise 1.2** | VIEW [[:BSc:Notes of Mathematical Method:Ch01 Complex Numbers:Viewer?f=ch01/Ch01-Ex-1-2-Methods-Prof-Tanveer|View online]]  | [[pdf>files/bsc/method/dn.php?file=ch01/Ch01-Ex-1-2-Methods-Prof-Tanveer.pdf|Download PDF]] (2082KB) NEW

  * **Exercise 1.3** | VIEW [[:BSc:Notes of Mathematical Method:Ch01 Complex Numbers:Viewer?f=ch01/Ch01-Ex-1-3-Methods-Prof-Tanveer|View online]]  | [[pdf>files/bsc/method/dn.php?file=ch01/Ch01-Ex-1-3-Methods-Prof-Tanveer.pdf|Download PDF]] (1332KB) NEW

  * **Exercise 1.4** | VIEW [[:BSc:Notes of Mathematical Method:Ch01 Complex Numbers:Viewer?f=ch01/Ch01-Ex-1-4-Methods-Prof-Tanveer|View online]]  | [[pdf>files/bsc/method/dn.php?file=ch01/Ch01-Ex-1-4-Methods-Prof-Tanveer.pdf|Download PDF]] (1037KB) NEW

  * **Exercise 1.5** | VIEW [[:BSc:Notes of Mathematical Method:Ch01 Complex Numbers:Viewer?f=ch01/Ch01-Ex-1-5-Methods-Prof-Tanveer|View online]]  | [[pdf>files/bsc/method/dn.php?file=ch01/Ch01-Ex-1-5-Methods-Prof-Tanveer.pdf|Download PDF]] (652KB) NEW
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