# Complex Analysis (Quick Review)

These notes are made and shared by Mr. Akhtar Abbas. We are really very thankful to him for providing these notes and appreciates his efforts to publish these notes on MathCity.org. Important definitions and important results are the part of these notes, these might be helpful to prepare interviews or any other written test after graduation like PPSC, FPSC or etc.

Name | Complex Analysis (Quick Review) |
---|---|

Author | Mr. Akhtar Abbas |

Pages | 24 pages |

Format | PDF (see Software section for PDF Reader) |

Size | 385 kB |

### Contents & Summary

- If any pair of points $z_1, z_2 \in S$ can be connected by a polygonal line that consists of a finite number of line segments joined end to end that lies entirely in the set, then $S$ is connected.
- A function $v(x,y)$ is harmonic conjugate of $u(x,y)$ if $f(z)=u(x,y)+iv(x,y)$ is analytics.
- Theorem (Cauchy): If $f$ is analytic in simply connected domain $D$, then for every simple closed contour $C$ in $D$, $\int_C f(z) dz =0$.
- A number $z_0$ is zero of $f(z)$ if $f(z_0)=0$.

Please click on View Online to see inside the PDF.

### Download or View online

### Notes of other subjects

- Advanced Analysis: Handwritten Notes
- Algebra II by Syed Sheraz Asghar
- Complex Analysis (Easy Notes of Complex Analysis)
- Complex Analysis (Quick Review)
- Differential Geometry by M Usman Hamid
- Differential Geometry by Syed Hassan Waqas
- Differential Geometry: Handwritten Notes
- Fluid Mechanics I by Dr Rao Muzamal Hussain
- Fluid Mechanics II by Dr Rao Muzamal Hussain
- Functional Analysis by Mr. Tahir Hussain Jaffery
- Functional Analysis by Prof Mumtaz Ahmad
- Fundamental of Complex Analysis (Solutions of Some Exercises)
- General Topology by Raheel Ahmad
- Group Theory: Important Definitions and Results
- Groups (Handwritten notes)
- Linear Algebra: Important Definitions and Results
- Mathematical Method by Sir Muhammad Awais Aun
- Mathematical Statistics I by Muzammil Tanveer
- Mathematical Statistics II by Sir Haidar Ali
- Measure Theory Notes by Anwar Khan
- Mechanics (Easy Notes of Mechanics)
- Mechanics by Sir Nouman Siddique
- Metric Spaces (Notes)
- Number Theory by Dr Muhammad Umer Shuaib
- Number Theory: Handwritten Notes
- Number Theory: Notes by Anwar Khan
- Numerical Analysis by M Usman Hamid
- Numerical Analysis II
- Operation Research by Sir Haidar Ali
- Operation Research: Handwritten Notes
- Partial Differential Equations
- Real Analysis (Notes by Prof. Syed Gul Shah)
- Ring (Notes) by Prof. M. Dabeer Mughal
- Rings (Handwritten notes)
- Special Functions by Dr. Muhey-U-Din
- Theory of Optimization by Ma'am Iqra Razzaq
- Theory of Relativity & Analytic Dynamics: Handwritten Notes
- Topology Notes by Azhar Hussain
- Topology: Handwritten Notes
- Vector Spaces (Handwritten notes)

- msc/notes/complex-analysis-quick-review
- Last modified: 4 weeks ago
- by Dr. Atiq ur Rehman