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Metric Spaces (Notes)
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ometric and example * Distance between sets * Theorem: Let $(X,d)$ be a metric space. Then for any $x,y... \,y).$$ * Diameter of a set * Bounded Set * Theorem: The union of two bounded set is bounded. * Ope... closed ball, sphere and examples * Open Set * Theorem: An open ball in metric space //X// is open. * Limit point of a set * Closed Set * Theorem: A subset //A// of a metric space is closed if an
Functional Analysis by M Usman Hamid and Zeeshan Ahmad
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mensional spaces, F. Riesz Lemma, the Hahn-Banach theorem, the HB theorem for complex spaces, The HB theorem for normed spaces, the open mapping theorem, the closed graph theorem, uniform boundedness principle and i
Affine and Euclidean Geometry by Shahzad Idress
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f Cosine and Sines: The Law of Cosine, Pythagoras Theorem, Parallelogram Law, The Law of Sines, * Eucl... đ‘©, Angles Associated with Parallel Lines, Thales’ Theorem, Menelaus Point, Menelaus’ Theorem, Cevian Line, Ceva’s Theorem, Copolar Triangles, Coaxial Triangles, Desargues’ Theorem. * Platonic Polyh
Fluid Mechanics II by Dr Rao Muzamal Hussain
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Flow along a curve * Circulation * Kelvins Theorem (For rotation or circulation) or State and prove Kelvins theorem for circulation * Uniqueness Theorem * Single Infinite Row of Vortices * Double Infinite Row of V... Irrotational Motion * Kelvin’s Minimum Energy Theorem * Laplace Equation * Normal stress * Tan
Complex Analysis (Easy Notes of Complex Analysis)
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ontour integration * Mittag-Lefflers’ Expansion Theorem ==== Download or View online ==== <callout type... -v.pdf}} </modal> * Mittag-Lefflers Expansion Theorem and Exercises | **{{ :notes:complex-analysis-mittag-lefflers-expansion-theorem-exercises.pdf |Download PDF}}** %%|%% <btn type="... :notes:complex-analysis-mittag-lefflers-expansion-theorem-exercises.pdf}} </modal> </callout> ====There a
Mechanics by Sir Nouman Siddique
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ational Motion * Rotational Motion * Chasles’ Theorem * Angular Equation motion * Screw Motion * ... "6"> * Wallis Formula’s * Perpendicular axis theorem * K.E in general motion * Momental Ellipsoid * Equimomental System * Principle axis * Theorem (Existence of Principle axis theorem) * Working rule of finding Principle M.I and Principle Axis * Sph
Differential Geometry (Notes) by Ms. Kaushef Salamat
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of centre of spherical curvature * Fundamental theorem for space curves * Intrinsic equation of a curv... mal section of a surface at a point * Meunier's theorem * Normal curvature and radius of normal curvatu... ial equation for principal directions * Euler's theorem * Surface of revolution * Normal surface *
Topology: Handwritten Notes
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Nested interval property or Cantor's intersection theorem * Continuous function * Topological spaces ... int * Open cover; Lindelof space * Lindelof theorem * Relative topology, subspace * Separation ... palonius identity * Hilbert space; Pythagorian theorem * Minimizing vector * Direct sum * Ortho
Multiple Choice Questions (BSc/BS/PPSC) by Akhtar Abbas
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n Property - Division Algorithm - Density Theorem - Fundamental Theorem of Arithmetic - $(p − 1)! \equiv −1(mod p)$ if and only if - $p$ is a pri
Number Theory: Handwritten Notes
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ine Equation * Prime Number * The fundamental theorem of Arithmetic (Unique Factorization Theorem) * Fermat Numbers </col><col sm="6"> * Mersenne Numbers
Partial Differential Equations by M Usman Hamid
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orm, Properties of Fourier Transform, Convolution theorem, Fourier Sine and Fourier Cosine, Exercises, Four... * Properties of Laplace Transforms, Convolution Theorem of the Laplace Transform, Laplace Transforms of t
Complex Analysis (Quick Review)
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(x,y)$ if $f(z)=u(x,y)+iv(x,y)$ is analytics. * Theorem (Cauchy): If $f$ is analytic in simply connected
Elementary Linear Algebra by Muhammad Usman Hamid
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s, projections, and homotheties. Change of basis. Theorem of Hamilton-Cayley. **Books Recommended:**\\ *
Fluid Mechanics by Ali Raza
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eam * Method of images * Milne-Thomson circle theorem * Image of a doublet w.r.t a circular cylinder
General Topology by Azhar Hussain
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f a point * Base for a Topology * and related theorem <callout type="success" icon="fa fa-download">
Multivariable Calculus by Sheikh Muhammad Saleem Shahzad
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Number Theory Notes by Anwar Khan
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Partial Differential Equations by Muzammil Tanveer
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Special Functions by Dr. Muhey-U-Din
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Topology and Functional Analysis Solved Paper by Noman Khalid
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