# Notes of Mathematics

Mathematics is a language of science and is a basic need for physical or natural sciences as well as social sciences. On this page, notes on different subjects related to mathematics are listed. These notes or resources might be helpful for ADS or BS or MSc or MPhil Mathematics. These notes are send by different students or teachers. We are very thankful to them for sending us these notes. These notes are provided as it is as open educational resources with out any warranty. Please take care while using these notes and its better to use books as reference instead of these notes.

All the notes of groups, linear algebra, abstract algebra and rings are available here.

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.

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.

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 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.
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.
Real Analysis Notes by Prof Syed Gul Shah
Notes by Syed Gul Shah (Ex Chairman, University of Sargodha, Sargodha. Pakistan).
Real Analysis Handwritten Notes by Kaushef Salamat
Handwritten notes of Real Analysis by Ms. Kaushef Salamat. These are covering almost all the contents of the real analysis.

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

Affine and Euclidean Geometry by Shahzad Idress
Short notes by shahzad-idress. These are very useful for BS or MSc mathematics.
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 Mechanics by Ali Raza
Thorough, comprehensive, and well-written notes on Fluid Mechanics for undergraduate students by Ali Raza.
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.
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.
Fluid Mechanics II by Dr Rao Muzamal Hussain
These notes are composed by Mr. Muzammil Tanveer, we are very thankful to him for sending these notes.

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

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

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

Handwritten notes Mathematical Statistics send by Ms. Iqra Liaqat.

Notes of Mathematical Statistics complied by Mr. Muzammil Tanveer

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

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

Handwritten notes of measure theory by Asim Marwat. These notes cover topics ranging from the fundamentals, such as equivalence sets, to the advanced, such as convergent in measure.

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

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
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.

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).
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.
General Topology by Azhar Hussain
Lecture Notes on Topology by Azhar Hussain.
Notes of general topology. These are handwritten notes by Mr Raheel Ahmad.

Algebraic Number Theory Notes by Anwar Khan
A handwritten notes of the Algebraic Number Theory by Mr. Anwar Khan. These notes covers many topics of the subject.
Number Theory: Handwritten Notes
A small and comprehensive handwritten notes of number theory for all students.
Number Theory Notes by Anwar Khan
A handwritten notes of number theory covering lots of topics.
Number Theory by Dr Muhammad Umer Shuaib
Notes of number theory lectured by Sir Muhammad Umer Shuaib compiled by Muzammil Tanveer.

Notes for Numerical Methods 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 BS or MSc (Mathematics). These notes cover most of the topic of operation research.

Vector & Tensor Analysis by Prof Fazal Abbas
Solutions of chpater 6 of a book “Vector & Tensor Analysis” by Dr. Nawazish Ali Shah written by Prof. Fazal Abbas Sajid
Vector & Tensor Analysis by Dr Nawazish Ali (Solutions)
Handwritten solutions of chapters 5 and 6 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 based on the lecture of Prof. Dr. Muhammad Khalid Mehmood. These are basic notes to understand the concept of vector space.
Vector Space (Review) by Rashad Wattu
A review notes of Vector Space written by Hadiqa Mumtaz based on lectures delivered by Mr. Rashad Wattu.

Computing Tools for Mathematics by Asif Arshad
These notes contain codes and techniques to work on famous software Mathematica.
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.
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.
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.