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Complex Analysis by M Usman Hamid @notes
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====== Complex Analysis by M Usman Hamid ====== {{ :notes:complex-analysis-m-usman-hamid.jpg?nolink|Complex Analysis by M Usman Hamid}} We are really very thankful to Muham... ty.org It covers the one part of the syllabus of Complex Analysis paper of MSc Mathematics. See the conten
Complex Analysis (Easy Notes of Complex Analysis) @notes
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====== Complex Analysis (Easy Notes of Complex Analysis) ====== {{ :notes:complex-analysis-dr-amir-mahmood.jpg?nolink|Complex Analysis (Easy Notes of Complex Analysis) }} The study of comp
Notes of Analysis @notes
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of notes. </well></col><col lg="4"><well> [[Notes:Complex-Analysis-Dr-Amir-Mahmood|{{Notes:Complex-Analysis-Dr-Amir-Mahmood.jpg?350}}]] <caption> **[[Notes:Complex-Analysis-Dr-Amir-Mahmood]]** </caption> An easy notes of complex analysis prepared by Mr. Haider Ali and supervise
Chapter 01: Complex Numbers @bsc:notes_of_mathematical_method
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====== 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 ... ished by Ilmi Kitab Khana, Lahore - PAKISTAN. A complex number is an element $(x,y)$ of the set $$ \mathb... \mathbb{C}$. ==== Contents and summary ==== * Complex numbers * Properties of complex numbers * The
Complex Analysis (Notes) by Ms. Iqra Liaqat @notes
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====== Complex Analysis (Notes) by Ms. Iqra Liaqat ====== {{ :notes:complex-analysis-iqra-liaqat.jpg?nolink|Notes of Complex Analysis by Ms. Iqra Liaqat}} These notes are send by Ms... er effort to publish these notes on MathCity.org Complex analysis is the study of functions of complex num
Notes of Mathematics
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n on the page of notes. </well> <well> **[[Notes:Complex-Analysis-Dr-Amir-Mahmood]]** \\ An easy notes of complex analysis prepared by Mr. Haider Ali and supervised by Dr. Amir Mahmood. </well> <well> **[[Notes:Complex-Analysis-M-Usman-Hamid]]** \\ These notes covers most of the complex analysis. </well> <well> **[[Notes:complex-analy
Unit 1: Complex Numbers (Solutions) @fsc-part1-kpk:sol
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===== Unit 1: Complex Numbers (Solutions) ===== This is a first unit of the book Mathematics 11 published ... unit the students will be able to * Recall complex number $z$ represented by an expression of the fo... part of $z$. * Know condition for equality of complex numbers. * Carry out basic operations on complex numbers. * Define $\bar{z} = a —ib$ as the comple
Unit 01: Complex Numbers (Solutions) @math-11-kpk:sol
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===== Unit 01: Complex Numbers (Solutions) ===== This is a first unit of the book Mathematics 11 published... unit the students will be able to * Recall complex number $z$ represented by an expression of the fo... part of $z$. * Know condition for equality of complex numbers. * Carry out basic operations on complex numbers. * Define $\bar{z} = a —ib$ as the comple
Definitions: FSc Part 1 (Mathematics): PTB by Aurang Zaib @fsc-part1-ptb
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and \( a \times b \) are also real numbers. ====Complex Number==== A complex number is a number of the form \( z = x + iy \), where \( x \) and \( y \) are real n... part of \( z \). ===Example=== Some examples of complex numbers include \( 2 \), \( 3 + \sqrt{3}i \), and... n Argand diagram is a graphical representation of complex numbers on the complex plane. It is similar to th
Unit 02: Matrices and Determinants (Solutions) @math-11-kpk:sol
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his unit the students will be able to * Recall complex number $z$ represented by an expression of the fo... y part of $z$. * Know condition for equality of complex numbers. * Carry out basic operations on complex numbers. * Define $\bar{z} = a —ib$ as the complex conjugate of $z=a+ib$. * Define $|z| = \sqrt{a^2+b^
University of Sargodha, Sargodha (Old Papers) @papers:old_papers_for_msc_mathematics
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i_algebra_iia2015_uos.pdf}} * ==== PAPER III: Complex Analysis and Differential Geometry ==== * {{ :... apers_for_msc_mathematics:sargodha_university:iii_complex_analysis_ia2008_uos.pdf}} * {{ :papers:old_papers_for_msc_mathematics:sargodha_university:iii_complex_analysis_ia2013_uos.pdf}} * {{ :papers:old_papers_for_msc_mathematics:sargodha_university:iii_complex_analysis_ia2014_uos.pdf}} * {{ :papers:old_pape
Chapter 01: Number System @fsc:fsc_part_1_solutions
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tional numbers * Properties of real numbers * Complex numbers * Operation on complex numbers * Complex numbers as ordered pairs of real numbers * Properties of the fundamental operations on complex numbers * A special subset of $\mathbb{C}$
FSc Part 1 (KPK Boards) @fsc
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| PDF Scanned (Handwritten) | ===== Chapter 01: Complex Numbers ===== === Objectives === After reading ... this unit the students will be able to: * know complex numbers, its conjugate and absolute value. * understand algebraic properties of complex numbers. * recongnize real and imaginary parts of different types of complex numbers. * know the solution of simultaneous li
Complex Analysis (Quick Review) @notes
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======Complex Analysis (Quick Review)====== {{ :notes:complex-analysis-quick-review.jpg?nolink|Complex Analysis: Quick Review}} These notes are made and shared by Mr. [... fter graduation like PPSC, FPSC or etc. ^ Name |Complex Analysis (Quick Review) | ^ Author |Mr. Akhtar A
Definitions: FSc Part 1 (Mathematics): PTB @fsc-part1-ptb
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d multiplication in a set of real numbers. * **Complex number:** The number of the form of $z=x+iy$, where $x,y \in \mathbb{R}, i = \sqrt{-1}$ is called complex number. Here $x$ is called real part and $y$ is ... nd diagram:** The figure representing one or more complex numbers on the complex plane is called argand diagram. * **Modulus of complex number:** The modulus of
Question 2 & 3, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 4, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 5, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 1, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 2 & 3, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 4, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 5, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 1, Exercise 1.3 @math-11-kpk:sol:unit01
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PPSC General Information, Syllabus, Paper Pattern
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Question 3 & 4, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 6, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 3 & 4, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 6, Exercise 1.2 @math-11-kpk:sol:unit01
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Khuram Ali Khan
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Notes of Mathematical Method @bsc
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Algebraic Number Theory Notes by Anwar Khan @notes
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Differential Geometry by M Usman Hamid @notes
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Fluid Mechanics by Ali Raza @notes
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Metric Spaces (Notes) @notes
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Partial Differential Equations by M Usman Hamid @notes
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Akhtar Abbas @people
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Question 1, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 6, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 7, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 8, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 9 & 10, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 11, Exercise 1.1 @fsc-part1-kpk:sol:unit01
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Question 1, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 2, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 5, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 7, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 8, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 9, Exercise 1.2 @fsc-part1-kpk:sol:unit01
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Question 2, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 3 & 4, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 5, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 6, Exercise 1.3 @fsc-part1-kpk:sol:unit01
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Question 1, Review Exercise 1 @fsc-part1-kpk:sol:unit01
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Question 1, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 6, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 7, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 8, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 9 & 10, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 11, Exercise 1.1 @math-11-kpk:sol:unit01
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Question 1, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 2, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 5, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 7, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 8, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 9, Exercise 1.2 @math-11-kpk:sol:unit01
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Question 2, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 3 & 4, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 5, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 6, Exercise 1.3 @math-11-kpk:sol:unit01
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Question 1, Review Exercise 1 @math-11-kpk:sol:unit01
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Question 2 Exercise 6.3 @math-11-kpk:sol:unit06
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