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Method of Mathematical Physics by Mr. Muhammad Usman Hamid
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s with special emphasis on wave, heat and Laplace equations, formulation and some theory of these equations are also intended. These notes are send by Mr. Anwar Khan ... given below. <grid> <col sm="6"> * Difference equation * Differential equation * Ordinary differential equation * Partial differential equation * Homogene
Partial Differential Equations by M Usman Hamid
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====== Partial Differential Equations 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. Mu... es on MathCity.org {{ :notes:partial-differential-equations-m-usman-hamid.jpg?nolink|Partial Differential Eq
Partial Differential Equations by Muzammil Tanveer
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====== Partial Differential Equations by Muzammil Tanveer ====== {{ :notes:partial-differential-equations-muzammil-tanveer.jpg?nolink|Partial Differential Equations}} These notes are provided and composed by Mr. [... s on MathCity.org ^ Name |Partial Differential Equations or PDEs | ^ Provider |Mr. Muzammil Tanveer |
Mathematical Method by Sir Muhammad Awais Aun
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the curvature, and so forth, are included in the equation that determines this function. A differential equation is the name given to such an equation. Differential equations can describe a variety of common physical phenomena, including fluid movement, drum
Differential Geometry (Notes) by Ms. Kaushef Salamat
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* Tangent * Arc * Chord * Arc length * Equation of tangent * Oscillating plane * Principal normal * Normal plane * Curvature * Equation of osculating plane * Bi-normal vector * Equation of Bi-normal * Torsion * Seret Frenet formulas * Equation of tangent in Cartesian formulas * Equation of
Theory of Relativity & Analytic Dynamics: Handwritten Notes
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* The Kinetic Energy * Transformation Equation for the Force Components * Motion with Variab... ystem * D-Alembert's Principle * Lagrange Equation of Motion * The Equation related to the Lagranges Equation of Motion * Equation of Motion of Particle in Space under Gravity *
Special Functions by Dr. Muhey-U-Din
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etric function of one variable * Hypergeometric equation * Symmetric property of Hypergeometric Function... symbol * Confluent Hypergeometric Differential Equation * Solution of Confluent Hypergeometric function... f Confluent Hypergeometric function * Hermite’s Equation * Solution of Hermite’s Equation * Recurrence relation of Hermite equation * Generation function of H
Fluid Dynamics I by Muhammad Usman Hamid
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=== **Introduction:** Definition of Fluid, basics equations, Methods of analysis, dimensions and units. Fund... n of fluid motions. **Fluid Statics:** The basic equation of fluid static, The standard atmosphere, pressur... a static fluid, fluid in rigid body motion. Basic equation in integral form for a control volume, basic laws... olume formulation, conservation of mass, momentum equation for inertial control volume, momentum equation fo
Fluid Mechanics II by Dr Rao Muzamal Hussain
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urbulent flow * Stream lines * Differential Equations of stream lines * Vortex motion * Vorticit... * Kelvin’s Minimum Energy Theorem * Laplace Equation * Normal stress * Tangential stress or sheer stress * Generalization equation of motion * Euler equation of motion for in-viscus (real) fluid * Bernoulli Equation * Bernoulli E
Numerical Analysis II
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ummary & contents==== * Operator * Difference Equation * Homogeneous Linear Difference Equation * Non-Homogeneous Linear Difference Equation * Non-Homogeneous Difference Equation * Formation of Difference Equation * Numerical Integration *
Complex Analysis by M Usman Hamid
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s first necessitated by the solution of algebraic equations. For example, the quadratic equations $$ x^2+4=0, x^2+x+1=0 \text{ and } x^2-2x+3=0 $$ don't possess real roots. In order to find the solution of these equations, Euler(1707-1783) was first to introduce the sym... /Regular/Holomorphic functions * Cauchy-Riemann equations in rectangular coordinates {{include>msc-notes-
Differential Geometry: Handwritten Notes
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= **Curves with torsion:**\\ Curve, space curve, equation of tangent, normal plane, principal normal curvat... , principal normal or binormal, rectifying plane, equation of binormal, torsion, Serret Frenet formulae, rad... surfaces:**\\ Surface, tangent plane and normal, equation of tangent plane, equaiton of normal, one paramet... ristic of surface, envelopes, edge of regression, equation of edge of regression, developable surfaces, oscu
Differential Geometry by Syed Hassan Waqas
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Tangent line * Normal line * Secant line * Equation of tangent of a point * Normal plane * Equation of Normal plane * Oscillating plane or plane of Curva... mula * Torsion * arameters other than ‘s’ * Equation of the Centre of Curvature </col> <col sm="6"> ... other definition of Surface * Tangent plane * Equation of Normal * Parametric curves * U-curves *
Fluid Mechanics by Ali Raza
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* Spatial variables * Volumetric flow rate * Equation of continuity * Stream function * Flow along a curve * Bernoulli's equation </col> <col sm="6"> * Application of Bernoulli's equation * 2D Source * Complex velocity potential for ... fluid * Compressible viscous fluid * Euler's equations of motion * Steady laminar flow between two pa
Mathematical Method by Muhammad Usman Hamid
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nctions. **Variational Methods:** Euler-Lagrange equations. Integrand involving one, two, three and n variables. Special cases of Euler-Lagrange’s equations. Necessary conditions for existence of an extrem... Techniques:** Perturbation methods for algebraic equations. Perturbation methods for differential equations. ==== Download ==== <callout type="success" icon="fa fa-
Notes for Numerical Methods by M Usman Hamid
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Functional Analysis by M Usman Hamid and Zeeshan Ahmad
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Advanced Analysis: Handwritten Notes
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Mechanics by Sir Nouman Siddique
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Multiple Choice Questions (BSc/BS/PPSC) by Akhtar Abbas
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Number Theory by Dr Muhammad Umer Shuaib
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Algebraic Number Theory Notes by Anwar Khan
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Elementary Linear Algebra by Muhammad Usman Hamid
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Functional Analysis by Prof Mumtaz Ahmad
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Functional Analysis by Mr. Tahir Hussain Jaffery
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Fuzzy Sets Theory by Umar Saeed Bunarai
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Groups (Handwritten Notes)
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Measure Theory by M Usman Hamid & Saima Akram
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Mechanics I (Statics) by Dr Babar Ahmad
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Number Theory: Handwritten Notes
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Number Theory Notes by Anwar Khan
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Rings & Modules by Ms. Iqra Liaqat
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Theory of Optimization by Ma'am Iqra Razzaq
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Vector Spaces (Handwritten notes)
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