Merging man & maths https://www.mathcity.org/ Thu, 04 Jun 2026 20:27:55 +0000 FeedCreator 1.8 https://www.mathcity.org/_media/logo.svg https://www.mathcity.org/ https://www.mathcity.org/notes/mathematical-method-muzammil-tanveer Mathematical Method by Sir Muhammad Awais Aun [Mathematical Method by Muzammil Tanveer] Mathematical methods are the approaches employed by mathematicians to address issues in mathematics and science. Algebra, functions, relations and associated graphs, calculus, and statistics are examples of mathematical techniques. Through their usage in resolving practical issues, they are applied to modelling. anonymous@undisclosed.example.com (Anonymous) Mon, 17 Apr 2023 09:02:35 +0000 https://www.mathcity.org/notes/affine-and-euclidean-geometry-shahzad-idress Affine and Euclidean Geometry by Shahzad Idress [Affine and Euclidean Geometry by Shahzad Idress] These notes are sent by shahzad-idress. We acknowledged his efforts to published these notes on MathCity.org. These are short notes containing topics related to Affine and Euclidean Geometry. The main sections includes $R^n$ anonymous@undisclosed.example.com (Anonymous) Mon, 24 Jul 2023 10:30:52 +0000 https://www.mathcity.org/notes/complex-analysis-quick-review Complex Analysis (Quick Review) [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.$z_1, z_2 \in S$$S$$v(x,y)$$u(x,y)$$f(z)=u(x,y)+iv(x,y)$$f$$D$$C$$D$… anonymous@undisclosed.example.com (Anonymous) Wed, 26 Jun 2024 18:33:42 +0000 https://www.mathcity.org/notes/fluid-mechanics-i-muzammil-tanveer Fluid Mechanics I by Dr Rao Muzamal Hussain [Fluid Mechanics I by Muzammil Tanveer] These notes are provided and composed by Mr. Muzammil Tanveer. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org. These notes are based on lectures delivered by Mr. Muzammil Hussain at GC University Faisalabad. anonymous@undisclosed.example.com (Anonymous) Mon, 24 Jul 2023 12:45:33 +0000 https://www.mathcity.org/notes/fluid-mechanics-ii-muzammil-tanveer Fluid Mechanics II by Dr Rao Muzamal Hussain [Fluid Mechanics I by Muzammil Tanveer] These notes are provided and composed by Mr. Muzammil Tanveer. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org. These notes are based on lectures delivered by Mr. Muzammil Hussain at GC University Faisalabad. anonymous@undisclosed.example.com (Anonymous) Tue, 29 Aug 2023 06:36:09 +0000 https://www.mathcity.org/notes/functional-analysis-by-tahir-hussain-jaffery Functional Analysis by Mr. Tahir Hussain Jaffery [Functional Analysis by Prof Mumtaz Ahmad] Functional analysis is a branch of mathematics concerned with vector space theory and linear algebra. It requires looking into the relationships between various roles, objects, incidents, actions, and results. The term $M$$M+N$ anonymous@undisclosed.example.com (Anonymous) Wed, 18 Sep 2024 18:13:33 +0000 https://www.mathcity.org/notes/fundamental-of-complex-analysis-prof-m-saleem Fundamental of Complex Analysis (Solutions of Some Exercises) [Fundamental of Complex Analysis, Solutions of Some Exercises] Complex analysis is the study of functions that exist in the complex plane, that is, functions with complex arguments and complex outputs. With roots in the 18th century and the years just before, it is one of the classical branches of mathematics. In the 20th century, significant figures in mathematics who are connected to complex numbers include Euler, Gauss, Riemann, … anonymous@undisclosed.example.com (Anonymous) Sat, 15 Apr 2023 18:26:12 +0000 https://www.mathcity.org/notes/group-theory-important-definitions-and-results Group Theory: Important Definitions and Results [Group Theory: Important Definitions and Results] These notes are made and shared by Mr. Akhtar Abbas. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org. These notes contains important definitions with examples and related theorem, which might be helpful to prepare interviews or any other written test after graduation like PPSC, FPSC or etc.$G$$a\in G$$\exists$$e\in G$$a\… anonymous@undisclosed.example.com (Anonymous) Wed, 10 Aug 2022 15:31:46 +0000 https://www.mathcity.org/notes/groups-theory-m-iftikhar Group Theory by Mr. Muhammad Iftikhar [Group Theory by Mr. Muhammad Iftikhar] These notes are send by Mr. Muhammad Iftikhar. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org. Name Lecture Notes on Group Theory Author Mr. Muhammad Iftikhar anonymous@undisclosed.example.com (Anonymous) Tue, 09 Aug 2022 18:28:27 +0000 https://www.mathcity.org/notes/linear-algebra-important-definitions-and-results Linear Algebra: Important Definitions and Results [Linear Algebra: Important Definitions and Results] These notes are made and shared by Mr. Akhtar Abbas. We are really very thankful to him for providing these notes and appreciates his efforts to publish these notes on MathCity.org. These notes contains important definitions with examples and related theorem, which might be helpful to prepare interviews or any other written test after graduation like PPSC, FPSC or etc.$V$$n$$n$$V$$W$$V$$A$$A$$A… anonymous@undisclosed.example.com (Anonymous) Wed, 10 Aug 2022 16:49:49 +0000 https://www.mathcity.org/notes/mathematical-statistics-ii-muzammil-tanveer Mathematical Statistics II by Sir Haidar Ali [Mathematical Statistics II] A subfield of mathematics called mathematical statistics is concerned with using mathematical techniques to solve statistical problems. It involves using mathematical analysis and probability theory to the study of statistical issues like estimate, hypothesis testing, and confidence intervals. Financial, engineering, and scientific fields all benefit from the use of mathematical statistics, which is a significant area of… anonymous@undisclosed.example.com (Anonymous) Thu, 20 Apr 2023 12:16:43 +0000 https://www.mathcity.org/notes/measure-theory-notes-asim-marwat Measure Theory Handwritten Notes by Asim Marwat [Measure Theory Notes by Asim Marwat] These notes are made and shared by Mr. Asim Marwat. He has our sincere gratitude for supplying these notes, and we value his effort in having them published on MathCity.org. Measure Theory is an important subject in BS Mathematics. These notes contain topic from base level, like equivalence set, to advance level, like convergent in measure.$L_p$$L_p$$L^\infty$$L_p$ anonymous@undisclosed.example.com (Anonymous) Fri, 10 Feb 2023 17:43:56 +0000 https://www.mathcity.org/notes/mechanics-by-sir-nouman-siddique Mechanics by Sir Nouman Siddique These notes are provided and composed by Mr. Muzammil Tanveer. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org * Name: Mechanics * Provider: Mr. Muzammil Tanveer anonymous@undisclosed.example.com (Anonymous) Wed, 26 Jun 2024 18:35:58 +0000 https://www.mathcity.org/notes/method-of-mathematical-physics-m-usman-hamid Method of Mathematical Physics by Mr. Muhammad Usman Hamid [Method of Mathematical Physics by Mr. Muhammad Usman Hamid] Method of Mathematical Physics is an area of mathematics concerned with the application of mathematical methods to physics problems. Mathematical techniques for statistical mechanics, quantum mechanics, and classical mechanics are all included in this large field. anonymous@undisclosed.example.com (Anonymous) Thu, 20 Apr 2023 11:54:01 +0000 https://www.mathcity.org/notes/number-theory-umer-shuaib Number Theory by Dr Muhammad Umer Shuaib [Number Theory Notes] A subfield of mathematics called number theory studies the characteristics of positive integers. Higher arithmetic is another name for it. The study of the relationships between various types of numbers, including prime numbers, rational numbers, and algebraic integers, is done using number theory, one of the oldest fields of mathematics.$\phi$ anonymous@undisclosed.example.com (Anonymous) Sat, 05 Aug 2023 18:11:04 +0000 https://www.mathcity.org/notes/numerical-analysis-by-m-usman-hamid Numerical Analysis by M Usman Hamid These notes are initially provided by Mr. Anwar Khan. Later the updated version is send by Muhammad Tahir. We are really very thankful to Mr. Anwar Khan and Muhammad Tahir for providing these notes and appreciates their effort to publish these notes on MathCity.org anonymous@undisclosed.example.com (Anonymous) Sat, 05 Aug 2023 17:01:51 +0000 https://www.mathcity.org/notes/operation-research-handwritten-notes Operation Research: Handwritten Notes [Operation Research: Handwritten Notes] Operation research (OR) is a scientific field that enhances organisational decision-making and problem-solving via the application of mathematical and analytical techniques. The management and administration of many processes, including military, governmental, economic, and industrial ones, include the use of scientific principles. OR is carried out by a group of professionals from various linked fields, depending on … anonymous@undisclosed.example.com (Anonymous) Sat, 05 Aug 2023 16:53:29 +0000 https://www.mathcity.org/notes/partial-differential-equations-m-usman-hamid Partial Differential Equations (PDE) by M Usman Hamid The course 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. We are really very thankful to Prof. Muhammad Usman Hamid for providing these notes and appreciates his effort to publish these notes on MathCity.org anonymous@undisclosed.example.com (Anonymous) Sun, 09 Mar 2025 09:27:42 +0000 https://www.mathcity.org/notes/partial-differential-equations-muzammil-tanveer Partial Differential Equations (PDE) by Muzammil Tanveer [Partial Differential Equations] These notes are provided and composed by Mr. Muzammil Tanveer. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org Name: Partial Differential Equations or PDEs anonymous@undisclosed.example.com (Anonymous) Sun, 09 Mar 2025 09:29:35 +0000 https://www.mathcity.org/notes/theory-of-optimization-muzammil-tanveer Theory of Optimization by Ma'am Iqra Razzaq [Special Theory of Optimization by Ma'am Iqra Razzaq] These notes are provided and composed by Mr. Muzammil Tanveer. We are really very thankful to him for providing these notes and appreciates his effort to publish these notes on MathCity.org. These notes are based on the lectures by Ma'am Iqra Razzaq. anonymous@undisclosed.example.com (Anonymous) Sun, 23 Jul 2023 16:28:59 +0000 https://www.mathcity.org/notes/topology-handwritten-notes Topology: Handwritten Notes [House of Tau] A topological space is a collection of points with a topology-a structure that describes how close two points are to one another. It is a generalisation of Euclidean spaces that makes it possible to investigate boundaries, continuity, and connectivity. A topology is a group of open sets, or subsets, that adhere to certain principles.$T_0$$T_1$$T_2$$\varepsilon-$ anonymous@undisclosed.example.com (Anonymous) Sat, 01 Mar 2025 09:43:45 +0000