# Notes of Mathematics

# Notes page updated

**Page Update:** This page has been moved at www.mathcity.org/notes

On this page, we have given all the notes (which we have) to prepare different papers of MSc or BS Mathematics. **The list is provided alphabetically**. We will try our best to add notes of other papers. If you have notes to share with others, you can send us soft copy or even hard copy by post. After scanning we will publish these notes on this page. This will help students and teachers in their studies. Please contact to webmaster for details or discussion.

# List of all notes

**Advanced Analysis: Handwritten Notes**

A handwritten notes of Advanced Analysis provided by Mr. Anwar Khan. We are really very thankful to Mr. Anwar Khan for providing these notes of 260 pages.

**Advance Analysis by Ms. Iqra Liaqat**

A handwritten notes of Advanced Analysis provided by Ms. Iqra Liaqat. Summary and contents are given on the page of notes.

**Affine and Euclidean Geometry by Shahzad Idress**

Short notes by shahzad-idress. These are very useful for BS or MSc mathematics.

**Complex Analysis (Easy Notes of Complex Analysis)**

An easy notes of complex analysis prepared by Mr. Haider Ali and supervised by Dr. Amir Mahmood.

**Complex Analysis by M Usman Hamid**

These notes covers most of the complex analysis.

**Complex Analysis (Notes) by Ms. Iqra Liaqat**

Handwritten notes of complex analysis by Iqra Liaqat.

**Complex Analysis (Quick Review)**

A quick review of the complex analysis by Akhtar Abbas. It may be useful to prepare interviews, PPSC, FPSC or any other examinations after MSc.

**Computing Tools for Mathematics by Asif Arshad**

These notes contain codes and techniques to work on famous software Mathematica.

**Differential Geometry: Handwritten Notes**

A handwritten notes of Differential Geometry of Three Dimensions by Prof. (Rtd) Muhammad Saleem. Best to prepare a “Differential Geometry” section of Complex Analysis paper in MSc (Mathematics).

**Differential Geometry by M Usman Hamid**

A notes of Differential Geometry composed by Muhammad Usman Hamid. It covers one the section of the paper of complex analysis and in semester system it is taught as complete subject.

**Differential Geometry by Syed Hassan Waqas**

A notes of Differential Geometry composed by Mr. Muzammil Tanveer. We are very thankful to him for sending these notes.

**Differential Geometry (Notes) by Ms. Kaushef Salamat**

A notes of Differential Geometry send by Kaushef Salamat. We are very thankful to her for sending these notes.

**Fluid Dynamics I by Muhammad Usman Hamid**

A notes of Fluid Dynamics I written by Muhammad Usman Hamid. We are very thankful to him for sending these notes.

**Fluid Mechanics I by Dr Rao Muzamal Hussain**

These notes are composed by Mr. Muzammil Tanveer, we are very thankful to him for sending these notes.

**Functional Analysis by M Usman Hamid and Zeeshan Ahmad**

These notes are written by Muhammad Usman Hamid and Zeeshan Ahmad. These are comprehensive notes covering most of the topics.

**Functional Analysis by Mr. Tahir Hussain Jaffery**

Notes of functional analysis written by Tahir Hussain Jaffery of Peshawar University, Peshawar.

**Functional Analysis by Mr. Tahir Hussain Jaffery**

Notes of functional analysis written by Tahir Hussain Jaffery of Peshawar University, Peshawar.

**Functional Analysis by Prof Mumtaz Ahmad**

Notes of functional analysis by Prof. Mumtaz Ahmad. These notes are collected by Muhammad Saleem, composed and send by Muzammil Tanveer

**Fundamental of Complex Analysis (Solutions of Some Exercises)**

Solutions of some exercises from Fundamental of Complex Analysis written by Dr. M. Iqbal and published by Ilmi Kitab Khana, Lahore- PAKISTAN. These are handwritten notes by Prof.(Rtd) Muhammad Saleem.

**Fuzzy Sets Theory by Umar Saeed Bunarai**

Handwritten notes send by Mr. Umar Saeed Bunarai. These notes are helpful for the students of BS and MSc mathematics.

**General Topology by Raheel Ahmad**

Notes of general topology. These are handwritten notes by Mr Raheel Ahmad.

**Group-Theory-Important-Definitions-and-Results**

This collections is made and shared by Akhtar Abbas. These important definitions with examples and results (theorems) may be useful to prepare interviews, PPSC, FPSC or any other examinations after MSc.

**Handwritten Notes of Real Analysis by Asim Marwat**

These notes are send and written by asim-marwat. We are very thankful to him for sharing these notes.

**History of Mathematics by Muhammad Usman Hamid**

Mathematics is a unique aspect of human thought, and its history differs in essence from all other histories. These notes are send and written by Muhammad Usman Hamid.

**Linear-Algebra-Important-Definitions-and-Results**

This collections is made and shared by Akhtar Abbas. These important definitions with examples and results (theorems) may be useful to prepare interviews, PPSC, FPSC or any other examinations after MSc.

**Mathematical Method by Sir Muhammad Awais Aun**

Notes of Mathematical Method by Sir Muhammad Awais Aun compiled by Mr. Muzammil Tanveer.

**Mathematical Method by Muhammad Usman Hamid**

Notes of Mathematical Method by Muhammad Usman Hamid. These notes are useful for BS.

**Mathematical Statistics by Ms. Iqra Liaqat**

Handwritten notes Mathematical Statistics send by Ms. Iqra Liaqat.

**Mathematical Statistics I by Muzammil Tanveer**

Notes of Mathematical Statistics complied by Mr. Muzammil Tanveer.

**Mathematical Statistics II by Sir Haidar Ali**

Notes of Mathematical Statistics II complied by Mr. Muzammil Tanveer base on the lectures by Sir Haider Ali.

**Measure Theory Notes by Anwar Khan**

These notes are provided by Anwar Khan. We are very thankful to him for providing these notes.

**Measure Theory by M Usman Hamid & Saima Akram**

he main aim of this course is to develop a more satisfactory theory of integration to overcome above mentioned drawbacks.

**Mechanics I (Statics) by Dr Babar Ahmad**

Book of Mechanics I (Statics) shared by Dr Babar Ahmad, the author of the book. We are very thankful to him for sharing his book for the students/teachers.

**Mechanics (Easy Notes of Mechanics)**

These notes are provided by Dr. Amir Mahmood.

**Mechanics by Sir Nouman Siddique**

Notes of Mechanics by Sir Nouman Siddique. These notes are collected by Muhammad Saleem, composed and send by Muzammil Tanveer

**Method of Mathematical Physics by Mr. Muhammad Usman Hamid**

These notes are send by Mr. Anwar Khan and written by M. Usman Hamid. These are very helpful in BS or MSc classes.

**Metric Spaces (Notes)**

These are updated version of previous notes. Many mistakes and errors have been removed. These notes are collected, composed and corrected by Atiq ur Rehman. These are actually based on the lectures delivered by Prof. Muhammad Ashfaq (Ex HoD, Department of Mathematics, Government College Sargodha).

**Multiple Choice Questions (BSc/BS/PPSC) by Akhtar Abbas**

These are very useful notes consists of MCQs of different subjects, which can be helpful for BSc, BS or PPSC.

**Number Theory: Handwritten Notes**

A handwritten notes of Number Theory. This consist of two parts. These notes are very helpful to prepare one of the optional papers of MSc (Mathematics).

**Number Theory: Notes by Anwar Khan**

A handwritten notes of Number Theory by Mr. Anwar Khan. These notes also inclue algebraic number theory section. These notes are very helpful to prepare one of the optional papers of MSc (Mathematics).

**Number Theory by Dr Muhammad Umer Shuaib**

Notes of number theory lectured by Sir Muhammad Umer Shuaib compiled by Muzammil Tanveer.

**Numerical Analysis by M Usman Hamid**

A notes of numerical analysis by Muhammad Usman Hamid. In most of the universities this course is considered as compulsory.

**Numerical Analysis II**

These notes are send my Mr. Muzammil Tanveer. We are very thankful to him for sharing these notes.

**Operation Research by Sir Haidar Ali**

Notes of operation research complied by Mr Muzammil Tanveer. These are based on lecture by Sir Haidar Ali at GC University, Faisalabad.

**Operation Research: Handwritten Notes**

A handwritten notes of Operation Research. These notes are very helpful to prepare one of the optional papers of MSc (Mathematics).

**Partial Differential Equations by M Usman Hamid**

Notes of Partial Differential Equations by Muhammad Usman Hamid. These notes provides a foundation to solve PDE’s with special emphasis on wave, heat and Laplace equations, formulation and some theory of these equations are also intended.

**Partial Differential Equations**

Notes of Partial Differential Equations by Muzammil Tanveer. We are very thankful to him for sharing these notes.

**Real Analysis (Notes by Prof. Syed Gul Shah)**

Notes by Syed Gul Shah (Ex Chairman, University of Sargodha, Sargodha. Pakistan).

**Ring (Notes) by Prof. M. Dabeer Mughal**

A handwritten notes of Ring (Algebra) by Prof. M. Dabeer Mughal (Federal Directorate of Education, Islamabad, PAKISTAN). Best to prepare a “Rings & Vector Spaces” section of Algebra paper in MSc (Mathematics).

**Rings (Handwritten notes)**

A handwritten notes of rings, usually teaches in Pakistani universities. Best to prepare a Rings section of Algebra paper in MSc (Mathematics).

**Rings & Modules by Ms. Iqra Liaqat**

A handwritten notes of rings and modules, usually teaches in Pakistani universities at BS & MSc level. Best to prepare the paper of Rings and Modules at BS or MSc (Mathematics).

**Special Functions by Dr. Muhey-U-Din**

Notes of special functions by Mr Muzammil Tanveer. These are based on lecture by Dr. Muhey-U-Din at GC University, Faisalabad.

**Theory of Optimization by Ma'am Iqra Razzaq**

Notes of Optimization Theory written by Mr Muzammil Tanveer based on lectures by Ma’am Iqra Razzaq.

**Theory of Relativity and Analytic Dynamics**

Handwritten notes by Prof.(Rtd) Asmat Ullah, Government College, Sargodha. These notes cover most of the analytic dynamics section.

**Topology and Functional Analysis Solved Paper by Noman Khalid**

Solved paper of Topology and Functional Analysis offered by the University of the Punjab, Lahore.

**Topology: Handwritten Notes**

Handwritten notes of topology by Tahir Mehmmod. These notes covers almost every topic of the syllabus of paper Topology for MSc Mathematics.

**Topology Notes by Azhar Hussain**

Lecture Notes on Topology by Azhar Hussain.

**Vector & Tensor Analysis by Dr Nawazish Ali (Solutions)**

Solutions of the book Vector & Tensor Analysis by Dr. Nawazish Ali Shah provided by Prof. Fazal Abbas Sajid

**Vector Spaces (Handwritten notes)**

A handwritten notes of vector spaces, usually teaches in Pakistani universities. Best to prepare a Rings & Vector spaces section of Algebra paper in MSc (Mathematics).

**Vector Space (Review) by Rashad Wattu**

A review notes of Vector Space written by Hadiqa Mumtaz based on lectures delivered by Mr. Rashad Wattu.