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- Mechanics by Sir Nouman Siddique
- 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
- 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
- Rings (Handwritten notes) by Atiq ur Rehman
- divisor and examples, integral domain and related theorems * Field, examples and related theorems * Characteristic of ring, examples and related theorems * Regular ring, examples and related theorems * Ideals, and related theorem * Quotient ring *
- Notes of Algebra
- important definitions with examples and results (theorems) may be useful to prepare interviews, [[:PPSC|PP... important definitions with examples and results (theorems) may be useful to prepare interviews, [[:PPSC|PP
- Groups (Handwritten Notes) by Atiq ur Rehman
- , isomorphism, endomorphism, examples and related theorem * Kernel, definition and related theorems * Cyclic group, related theorems * Complex in a group, product of complexes and related theorems * Coset, definition and examples * Index of
- Measure Theory by M Usman Hamid & Saima Akram
- ration measure spaces * The Integral * Limit Theorems * The Riemann Integral * Measurable Function... uter measure and measurability * The extension theorem * The Lebesgue Stieltjes integral * Product
- 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
- Topology and Functional Analysis Solved Paper by Noman Khalid
- Component * First category * Baire's category theorem * Absolutely convergent series * Finite dimen
- Multivariable Calculus by Sheikh Muhammad Saleem Shahzad
- l, Line and Surface Integral, Green’s and Stoke’s Theorem, Fourier Series: Periodic Functions, Functions of
- Fluid Mechanics by Ali Raza
- eam * Method of images * Milne-Thomson circle theorem * Image of a doublet w.r.t a circular cylinder
- Elementary Linear Algebra by Muhammad Usman Hamid
- s, projections, and homotheties. Change of basis. Theorem of Hamilton-Cayley. **Books Recommended:**\\ *
- 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 * Kelvin’s Minimum Energy Theorem * Laplace Equation * Normal stress * Tan
- 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
- Number Theory: Handwritten Notes
- ine Equation * Prime Number * The fundamental theorem of Arithmetic (Unique Factorization Theorem) * Fermat Numbers </col><col sm="6"> * Mersenne Numbers
- 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