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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
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
Rings (Handwritten notes) by Atiq ur Rehman
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les and related theorems * Ideals, and related theorem * Quotient ring * Homomorphism of a ring, k... rincipal ideal ring * Maximal ideal and related theorem * Fundamental homomorphism theorem ==== Download or View online ==== <callout type="success" icon="fa
Groups (Handwritten Notes) by Atiq ur Rehman
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, isomorphism, endomorphism, examples and related theorem * Kernel, definition and related theorems * C... on and examples * Index of subgroup, Lagrange's theorem * Double coset, related theorem * Normalizer, definition and related theorems * Centralizer, centre of group, related theorem * Conjugate or transform of a group, definition
Measure Theory by M Usman Hamid & Saima Akram
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uter measure and measurability * The extension theorem * The Lebesgue Stieltjes integral * Product
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
Topology and Functional Analysis Solved Paper by Noman Khalid
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Component * First category * Baire's category theorem * Absolutely convergent series * Finite dimen
Multivariable Calculus by Sheikh Muhammad Saleem Shahzad
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l, Line and Surface Integral, Green’s and Stoke’s Theorem, Fourier Series: Periodic Functions, Functions of
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
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 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
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
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
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
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">
Complex Analysis (Easy Notes of Complex Analysis)
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Number Theory Notes by Anwar Khan
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Partial Differential Equations by M Usman Hamid
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Partial Differential Equations by Muzammil Tanveer
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Differential Geometry (Notes) by Ms. Kaushef Salamat
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Affine and Euclidean Geometry by Shahzad Idress
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Multiple Choice Questions (BSc/BS/PPSC) by Akhtar Abbas
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Special Functions by Dr. Muhey-U-Din
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Measure Theory Notes by Anwar Khan
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Mathematical Statistics I by Muzammil Tanveer
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Mathematical Statistics by Ms. Iqra Liaqat
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Theory of Relativity & Analytic Dynamics: Handwritten Notes
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Mathematical Method by Sir Muhammad Awais Aun
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Real Analysis Notes by Prof Syed Gul Shah
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Functional Analysis by Mr. Tahir Hussain Jaffery
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Functional Analysis by Prof Mumtaz Ahmad
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Fundamental of Complex Analysis (Solutions of Some Exercises)
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Handwritten Notes of Real Analysis by Asim Marwat
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Advance Analysis by Ms. Iqra Liaqat
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Vector Spaces (Handwritten notes)
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Vector Space (Review) by Rashad Wattu
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Rings & Modules by Ms. Iqra Liaqat
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Ring (Notes) by Prof. M. Dabeer Mughal
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Measure Theory Handwritten Notes by Asim Marwat
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Real Analysis Handwritten Notes by Kaushef Salamat
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Linear Algebra: Important Definitions and Results
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Group Theory: Important Definitions and Results
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Group Theory by Mr. Muhammad Iftikhar
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