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- Metric Spaces (Notes)
- 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
- 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
- f Cosine and Sines: The Law of Cosine, Pythagoras Theorem, Parallelogram Law, The Law of Sines, * Eucl... đ©, Angles Associated with Parallel Lines, Thalesâ Theorem, Menelaus Point, Menelausâ Theorem, Cevian Line, Cevaâs Theorem, Copolar Triangles, Coaxial Triangles, Desarguesâ Theorem. * Platonic Polyh
- Fluid Mechanics II by Dr Rao Muzamal Hussain
- 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 * Kelvinâs Minimum Energy Theorem * Laplace Equation * Normal stress * Tan
- Complex Analysis (Easy Notes of Complex Analysis)
- ontour integration * Mittag-Lefflersâ 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
- ational Motion * Rotational Motion * Chaslesâ Theorem * Angular Equation motion * Screw Motion * ... "6"> * Wallis Formulaâs * 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
- 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
- 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
- n Property - Division Algorithm - Density Theorem - Fundamental Theorem of Arithmetic - $(p â 1)! \equiv â1(mod p)$ if and only if - $p$ is a pri
- Number Theory: Handwritten Notes
- 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
- 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)
- (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
- s, projections, and homotheties. Change of basis. Theorem of Hamilton-Cayley. **Books Recommended:**\\ *
- Fluid Mechanics by Ali Raza
- eam * Method of images * Milne-Thomson circle theorem * Image of a doublet w.r.t a circular cylinder
- General Topology by Azhar Hussain
- f a point * Base for a Topology * and related theorem <callout type="success" icon="fa fa-download">