Merging man & maths https://www.mathcity.org/ Thu, 04 Jun 2026 14:10:11 +0000 FeedCreator 1.8 https://www.mathcity.org/_media/logo.svg https://www.mathcity.org/ 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/differential-geometry-kaushef_salamat Differential Geometry (Notes) by Ms. Kaushef Salamat [Differential Geometry by Ms. Kaushef Salamat] Differential Geometry is an important field in the mathematical sciences. Usually, this is a compulsory or core subject for BS mathematics students. These notes are send by Ms. Kaushef Salamat. We are really very thankful to her for providing these notes and appreciates her effort to publish these notes on MathCity.org anonymous@undisclosed.example.com (Anonymous) Sat, 23 Aug 2025 11:29:10 +0000 https://www.mathcity.org/notes/theory-of-relativity-and-analytic-dynamics Theory of Relativity & Analytic Dynamics: Handwritten Notes [Theory of Relativity & Analytic Dynamics: Handwritten Notes] Theory of Relativity and Analytic Dynamics is a subject that encompasses two distinct topics: relativity theory and analytic dynamics. Albert Einstein's theory of relativity defines the fundamental principles that control how moving objects behave in relation to one another and to the observer. The motion of objects as a result of forces and torques is the subject of analyt… anonymous@undisclosed.example.com (Anonymous) Fri, 23 Aug 2024 07:42:56 +0000 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/ordinary-differential-equations-hamad-safi Ordinary Differential Equations (ODE) by Hammad Safi [Ordinary Differential Equations by Hammad Safi] An equation containing the derivatives of one or more dependent variables with respect to one or more independent variables is said to be a differential equation or a differential equation is an equation which contains one or more terms and derivatives of one or more dependent variables with respect to other variables (independent variables) or an equation that contains derivatives of dependent… anonymous@undisclosed.example.com (Anonymous) Sun, 09 Mar 2025 09:26:46 +0000 https://www.mathcity.org/notes/special-functions-muzammil-tanveer Special Functions by Dr. Muhey-U-Din 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. Thease notes are based on the lectures by Dr. Muhey-U-Din. anonymous@undisclosed.example.com (Anonymous) Sun, 23 Jul 2023 16:48:30 +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/fluid-dynamics-i-m-usman-hamid Fluid Dynamics I by Muhammad Usman Hamid [Fluid Dynamics I by Muhammad Usman Hamid] Explore comprehensive notes on Fluid Dynamics by Muhammad Usman Hamid. Covers fundamental concepts (viscosity, stress fields, continuum), fluid statics, and differential analysis. Special thanks to Mr. Anwar Khan for contributing these resources to MathCity.org. anonymous@undisclosed.example.com (Anonymous) Sun, 03 May 2026 08:26:32 +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/numerical-analysis-ii Numerical Analysis II [Numerical Analysis 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. Name Numerical Analysis II Compiled by Muzammil Tanveer anonymous@undisclosed.example.com (Anonymous) Sat, 05 Aug 2023 17:56:32 +0000 https://www.mathcity.org/notes/differential_geometry_notes Differential Geometry: Handwritten Notes [Differential Geometry: Handwritten Notes] Differential geometry is a discipline of mathematics that investigates the geometry of smooth objects and spaces, sometimes known as smooth manifolds. It investigates the geometric properties of curves and surfaces using the methods of differential and integral calculus, linear algebra, and multilinear algebra. Mathematical analysis and differential geometry are related concepts. These are the lecture notes of … anonymous@undisclosed.example.com (Anonymous) Sat, 23 Aug 2025 11:27:57 +0000 https://www.mathcity.org/notes/differential-geometry-syed-hassan-waqas Differential Geometry by Syed Hassan Waqas [Differential Geometry by Syed Hassan Waqas] In the field of mathematics known as differential geometry, smooth manifolds—also known as smooth shapes and spaces—and their geometry are studied. Investigating the geometric characteristics of curves and surfaces involves the use of the tools of differential and integral calculus, linear algebra, and multilinear algebra. Differential calculus and mathematical analysis are related to differential geometry.… anonymous@undisclosed.example.com (Anonymous) Sat, 23 Aug 2025 11:28:41 +0000 https://www.mathcity.org/notes/fluid-mechanics-ali-raza Fluid Mechanics by Ali Raza [Fluid Mechanics by Ali Raza] Fluid mechanics is the branch of physics that studies how fluids (liquids, gases, and plasmas) behave and interact with forces and energy. Fluid mechanics has many applications in engineering, geophysics, biology, and other fields. anonymous@undisclosed.example.com (Anonymous) Sat, 27 Jul 2024 16:23:08 +0000 https://www.mathcity.org/notes/advanced-analysis-handwritten-notes Advanced Analysis: Handwritten Notes [Advanced Analysis: Handwritten Notes] These notes are provided by Mr. Anwar Khan. We are really very thankful to Mr. Anwar Khan for providing these notes and appreciates his effort to publish these notes on MathCity.org It covers the complete syllabus of Advanced Analysis paper of MSc Mathematics. See the contents of the notes given below to see the topics covered by these notes. anonymous@undisclosed.example.com (Anonymous) Fri, 14 Apr 2023 17:55:33 +0000 https://www.mathcity.org/notes/advance-functional-analysis-waseem_akram Advance Functional Analysis by Waseem Akram [Advance Functional Analysis by Waseem Akram] These notes provide a concise yet dense overview of key theorems in functional analysis, including the Hahn-Banach Theorem, Baire Category Theorem, Open Mapping Theorem, Closed Graph Theorem, and Banach Fixed Point Theorem. The presentation is somewhat informal, with occasional typographical errors, incomplete proofs, and missing equation references. However, the core logical flow is preserved, making it u… anonymous@undisclosed.example.com (Anonymous) Sun, 31 May 2026 07:51:28 +0000 https://www.mathcity.org/notes/advance-functional-analysis-waseem-akram Advance Functional Analysis by Waseem Akram [Advance Functional Analysis by Waseem Akram] These notes provide a concise yet dense overview of key theorems in functional analysis, including the Hahn-Banach Theorem, Baire Category Theorem, Open Mapping Theorem, Closed Graph Theorem, and Banach Fixed Point Theorem. The presentation is somewhat informal, with occasional typographical errors, incomplete proofs, and missing equation references. However, the core logical flow is preserved, making it u… anonymous@undisclosed.example.com (Anonymous) Mon, 25 May 2026 18:22:55 +0000 https://www.mathcity.org/notes/algebraic-number-theory-notes-anwar-khan Algebraic Number Theory Notes by Anwar Khan [Algebraic Number Theory Notes by Anwar Khan] Algebraic number theory is a subfield of number theory that studies integers, rational numbers, and their generalisations using abstract algebra techniques. It covers Galois theory, ideals and units in rings of integers, unique factorization, and algebraic number fields and related rings of integers. It is a complex and in-depth subject with numerous linkages to other branches of mathematics.$\mathbb{R}$ anonymous@undisclosed.example.com (Anonymous) Sat, 05 Aug 2023 19:06:20 +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/fuzzy-sets-theory-umar-saeed-bunarai Fuzzy Sets Theory by Umar Saeed Bunarai [Fuzzy Sets Theory by Umar Saeed Bunarai] In the field of mathematics known as fuzzy set theory, sets having varying degrees of membership are studied. This implies that an element can be a member of a set only partially or not at all. In several disciplines, including logic, control, data analysis, and decision-making, fuzzy set theory is used to model uncertainty, vagueness, and imprecision. anonymous@undisclosed.example.com (Anonymous) Tue, 08 Aug 2023 11:56:34 +0000 https://www.mathcity.org/notes/groups-handwritten-notes Groups (Handwritten Notes) by Atiq ur Rehman Groups are a basic idea in algebra, introduced in high school. It's a very interesting topic in math. [Cube root of unity group] * Name: Groups (Handwritten notes)- Lecture Notes * Author: Atiq ur Rehman * Pages: 82 pages anonymous@undisclosed.example.com (Anonymous) Wed, 26 Jun 2024 18:07:44 +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/mechanics-iii-analytic-dynamics-ii-dr-babar-ahmad Mechanics III (Analytic Dynamics II) by Dr Babar Ahmad [Mechanics III (Analytic Dynamics II) by Dr Babar Ahmad] We are very thankful to Dr Babar Ahmad for sharing his book on MathCity.org. This book is very helpful for undergraduate students of Science and Engineering Programs. This book is shared by the permission of the author and he keeps the copyright of the book. anonymous@undisclosed.example.com (Anonymous) Sat, 10 May 2025 17:33:01 +0000 https://www.mathcity.org/notes/number-theory-handwritten-notes Number Theory: Handwritten Notes [Number Theory: Handwritten Notes] The study of the characteristics of the positive integers (1, 2, 3,...) is called number theory. It is significant because it has numerous uses in coding theory, combinatorics, cryptography, and other branches of mathematics and computer science. Some mathematicians also refer to number theory as the anonymous@undisclosed.example.com (Anonymous) Tue, 08 Aug 2023 11:20:45 +0000 https://www.mathcity.org/notes/number-theory-notes-anwar-khan Number Theory Notes by Anwar Khan [Number Theory Notes by Anwar Khan] Mathematicians who specialize in number theory examine the characteristics and connections between integers. “Higher arithmetic” and “the queen of mathematics” are some names for it. Because it examines the characteristics and connections between integers and arithmetic functions, number theory is interesting. It has numerous uses in coding theory, combinatorics, cryptography, and other branches of mathematics. Like the ones… anonymous@undisclosed.example.com (Anonymous) Sat, 05 Aug 2023 18:47:01 +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/qr2-tools-for-quantitative-reasoning-m-usman-hamid Quantitative Reasoning II (QR2: Tools for Reasoning Skills) [Quantitative Reasoning II (Tools for Reasoning Skills)] This handout provides a comprehensive exploration of fundamental mathematical and logical concepts, making it an essential read for students and professionals alike. It begins with an introduction to enumeration and its practical applications, followed by an in-depth discussion on quantitative reasoning, number systems, and arithmetic operations. The book highlights the contribut… anonymous@undisclosed.example.com (Anonymous) Fri, 01 Aug 2025 18:31:56 +0000 https://www.mathcity.org/notes/rings-and-modules-iqra-liaqat Rings & Modules by Ms. Iqra Liaqat Ring is a mathematical structure with two operations. With one operation it is abelian group and with other operation it is semi-group with distributive law holds with first operation w.r.t the other operation. This concept is of pure in nature in mathematics. These advanced level notes are typically taken as an elective in a mathematics undergraduate degree. anonymous@undisclosed.example.com (Anonymous) Sat, 01 Apr 2023 14:30:33 +0000 https://www.mathcity.org/notes/vector_spaces_handwritten_notes Vector Spaces (Handwritten notes) [Vector Spaces (Handwritten notes) by Atiq ur Rehman] Vector space is a fundamental subject in mathematics. At the undergraduate and upper secondary levels, the concept of vector space is regarded as basic and fundamental. These are lecture notes of Prof. Dr. Muhammad Khalid of University of Sargodha, Sargodha written by Atiq ur Rehman. anonymous@undisclosed.example.com (Anonymous) Sat, 01 Apr 2023 15:18:56 +0000