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====== Notes of Mathematics ======
{{ :notes.jpg?nolink&600x501|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.
==== Tag Cloud of Notes====
~~TAGCLOUD>notes~~
===== Algebra =====
**[[:notes:algebra|All the Notes of Algebra]]**
All the notes of groups, linear algebra, abstract algebra and rings are available here.
===== Analysis =====
**[[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.
**[[Notes:Advanced-Analysis-iqra-liaqat]]** \\ A handwritten notes of Advanced Analysis provided by Ms. Iqra Liaqat. Summary and contents are given on the page of notes.
**[[Notes:Complex-Analysis-Dr-Amir-Mahmood]]** \\ An easy notes of complex analysis prepared by Mr. Haider Ali and supervised by Dr. Amir Mahmood.
**[[Notes:Complex-Analysis-M-Usman-Hamid]]** \\ These notes covers most of the complex analysis.
**[[Notes:complex-analysis-iqra-liaqat]]** \\ Handwritten notes of complex analysis by Iqra Liaqat.
**[[Notes:Complex-Analysis-Quick-Review]]** \\ A quick review of the complex analysis by [[:people:akhtar]]. It may be useful to prepare interviews, PPSC, FPSC or any other examinations after MSc.
**[[Notes:functional-analysis-m-usman-hamid-and-zeeshan-ahmad]]** \\ These notes are written by [[people:usman|Muhammad Usman Hamid]] and Zeeshan Ahmad. These are comprehensive notes covering most of the topics.
**[[notes:functional-analysis-by-tahir-hussain-jaffery]]** \\ Notes of functional analysis written by Tahir Hussain Jaffery of Peshawar University, Peshawar.
**[[Notes: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 [[:people:muzammil]]
**[[notes:fundamental-of-complex-analysis-prof-m-saleem]]** \\ 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.
**[[Notes:Handwritten-Notes-Real-Analysis-Asim-Marwat]]**\\ These notes are send and written by [[:people:asim-marwat]]. We are very thankful to him for sharing these notes.
**[[notes:real-analysis-notes-by-prof-syed-gul-shah]]** \\ Notes by Syed Gul Shah (Ex Chairman, University of Sargodha, Sargodha. Pakistan).
**[[notes:real-analysis-hand-written-kaushef)]]** \\ Handwritten notes of Real Analysis by Ms. [[:people:kaushef]]. These are covering almost all the contents of the real analysis. NEW
===== Differential Equations =====
**[[Notes:Partial-Differential-Equations-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.
**[[Notes:Partial-Differential-Equations-Muzammil-Tanveer]]** \\ Notes of Partial Differential Equations by Muzammil Tanveer. We are very thankful to him for sharing these notes.
===== Differential Geometry =====
**[[Notes:affine-and-euclidean-geometry-shahzad-idress]]** \\ Short notes by [[people:shahzad-idress]]. These are very useful for BS or MSc mathematics. NEW
**[[Notes:Differential Geometry (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).
**[[Notes:Differential-Geometry-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.
**[[Notes:Differential-Geometry-Syed-Hassan-Waqas]]** \\ A notes of Differential Geometry composed by Mr. [[:people:muzammil]]. We are very thankful to him for sending these notes.
**[[Notes:Differential-Geometry-Kaushef Salamat]]** \\ A notes of Differential Geometry send by Kaushef Salamat. We are very thankful to her for sending these notes.
===== Fluid Mechanics =====
**[[:notes:fluid-mechanics-ali-raza]]** \\ Thorough, comprehensive, and well-written notes on Fluid Mechanics for undergraduate students by Ali Raza. NEW
**[[Notes:fluid-dynamics-i-m-usman-hamid]]** \\ A notes of Fluid Dynamics I written by Muhammad Usman Hamid. We are very thankful to him for sending these notes.
**[[Notes:fluid-mechanics-i-muzammil-tanveer]]** \\ These notes are composed by Mr. [[:people:muzammil]], we are very thankful to him for sending these notes.
**[[Notes:mechanics-i-statics-dr-babar-ahmad]]**\\ Book of Mechanics I (Statics) shared by [[people:babar-ahmad]], the author of the book. We are very thankful to him for sharing his book for the students/teachers.NEW
**[[Notes:fluid-mechanics-ii-muzammil-tanveer]]** \\ These notes are composed by Mr. [[:people:muzammil]], we are very thankful to him for sending these notes.
===== Mathematical Method =====
**[[:notes:mathematical-method-muzammil-tanveer]]**
Notes of Mathematical Method by Sir Muhammad Awais Aun compiled by Mr. [[:people:muzammil]].
**[[:notes:mathematical-method-usman-hamid]]**
Notes of Mathematical Method by [[people:usman]]. These notes are useful for BS.
**[[Notes:Method-of-Mathematical-Physics-M-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.
===== Mathematical Statistics =====
**[[:notes:mathematical-statistics-iqra-liaqat]]**
Handwritten notes Mathematical Statistics send by Ms. [[:people:iqra-liaqat]].
**[[:notes:mathematical-statistics-i-muzammil-tanveer]]**
Notes of Mathematical Statistics complied by Mr. [[:people:muzammil]]
**[[:notes:mathematical-statistics-ii-muzammil-tanveer]]**
Notes of Mathematical Statistics II complied by Mr. [[:people:muzammil]] base on the lectures by Sir Haider Ali.
===== Measure Theory =====
**[[:notes:measure-theory-by-anwar-khan]]**
These notes are provided by Anwar Khan. We are very thankful to him for providing these notes.
**[[:notes:measure-theory-notes-asim-marwat]]**
Handwritten notes of measure theory by [[people:asim-marwat]]. These notes cover topics ranging from the fundamentals, such as equivalence sets, to the advanced, such as convergent in measure.
**[[:notes:measure-thoery-muhsa]]**
The main aim of this course is to develop a more satisfactory theory of integration to overcome above mentioned drawbacks.
===== Mechanics =====
**[[Notes:classical-mechanics-muhammad-usman-hamid]]**\\ To provide solid understanding of classical mechanics and enable the students to use this understanding while studying courses on quantum mechanics, statistical mechanics, electromagnetism, fluid dynamics, space-flight dynamics, astrodynamics and continuum mechanics. NEW
**[[Notes:mechanics-by-dr-amir-mahmood]]**\\ These notes are provided by Dr. Amir Mahmood.
**[[Notes:Mechanics-by-Sir-Nouman-Siddique]]**\\ Notes of Mechanics by Sir Nouman Siddique. These notes are collected by Muhammad Saleem, composed and send by [[:people:muzammil]]
**[[Notes:mechanics-i-statics-dr-babar-ahmad]]**\\ Book of Mechanics I (Statics) shared by [[people:babar-ahmad]], the author of the book. We are very thankful to him for sharing his book for the students/teachers.
===== Metric Space & Topology =====
**[[Notes: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).
**[[Notes:topology-and-functional-analysis-solved-pu]]**\\ Solved paper of Topology and Functional Analysis offered by the University of the Punjab, Lahore. NEW
**[[Notes: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.
**[[Notes:General-Topology-Azhar-Hussain]]**\\ Lecture Notes on Topology by Azhar Hussain.
**[[Notes:general-topolgy-raheel-ahmad]]** \\ Notes of general topology. These are handwritten notes by Mr Raheel Ahmad.
===== Number Theory =====
**[[Notes:algebraic-number-theory-notes-anwar-khan]]** \\ A handwritten notes of the Algebraic Number Theory by Mr. Anwar Khan. These notes covers many topics of the subject.
**[[Notes:number-theory-handwritten-notes]]** \\ A small and comprehensive handwritten notes of number theory for all students.
**[[Notes:number-theory-notes-anwar-khan]]** \\ A handwritten notes of number theory covering lots of topics.
**[[Notes:number-theory-umer-shuaib]]** NEW \\ Notes of number theory lectured by Sir Muhammad Umer Shuaib compiled by Muzammil Tanveer.
===== Numerical Analysis =====
**[[Notes:note-for-numerical-methods-m-usman-hamid]]** \\ A notes of numerical analysis by Muhammad Usman Hamid. In most of the universities this course is considered as compulsory.
**[[Notes:Numerical-Analysis-II]]** \\ These notes are send my Mr. [[:people:muzammil]]. We are very thankful to him for sharing these notes.
===== Operational Research =====
**[[Notes:Operation-Research-Haidar-Ali]]** \\ Notes of operation research complied by Mr [[:people:muzammil]]. These are based on lecture by Sir Haidar Ali at GC University, Faisalabad.
**[[notes: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 =====
**[[Notes:vector-and-tensor-analysis-by-prof-fazal-abbas]]** \\ Solutions of chpater 6 of a book "Vector & Tensor Analysis" by Dr. Nawazish Ali Shah written by [[people:fazal-abbas]]
**[[Notes:vector-and-tensor-analysis-by-dr-nawazish]]** \\ Handwritten solutions of chapters 5 and 6 of the book Vector & Tensor Analysis by Dr. Nawazish Ali Shah provided by [[people:fazal-abbas]]
**[[Notes: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.
**[[Notes:vector-spaces-review-by-rashad-wattu]]** \\ A review notes of Vector Space written by Hadiqa Mumtaz based on lectures delivered by Mr. Rashad Wattu. NEW
===== Other Notes =====
**[[Notes:computing-tools-for-mathematics-asif-arshad]]** \\ These notes contain codes and techniques to work on famous software Mathematica.
**[[Notes:fuzzy-sets-theory-umar-saeed-bunarai]]** \\ Handwritten notes send by Mr. [[people:Umar-Saeed]]. These notes are helpful for the students of BS and MSc mathematics.
**[[Notes:History-of-Mathematics-M-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 [[people:usman]].
**[[Notes:multiple-choice-questions-(bsc-bs-ppsc)-akhtar-abbas]]**\\ These are very useful notes consists of MCQs of different subjects, which can be helpful for BSc, BS or PPSC.
**[[Notes:multivariable-calculus-sheikh-muhammad-saleem-shahzad]]** NEW\\ Notes of Multivariable Calculus written by Mr [[:people:shahzad-saleem]] based on a collection of lectures delivered at University of Education, Jauharabad Sub-Campus.
**[[Notes:Special-Functions-Muzammil-Tanveer]]**\\ Notes of special functions by Mr [[:people:muzammil]]. These are based on lecture by Dr. Muhey-U-Din at GC University, Faisalabad.
**[[Notes:Theory-of-Optimization-Muzammil-Tanveer]]**\\ Notes of Optimization Theory written by Mr [[:people:muzammil]] based on lectures by Ma’am Iqra Razzaq.
**[[Notes:special-theory-of-relativity-usman-hameed-and-zeeshan-ahmad]]** NEW\\ Notes of Special Theory of Relativity written by Mr [[:people:usman]] and Muhammad Zeeshan Ahmad.
**[[Notes: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.
{{tag> MSc_Notes BS_Notes}}