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- Multivariable Calculus by Sheikh Muhammad Saleem Shahzad
- could optimize a process and obtain best possible solution. * Have you ever thought about how bridges and
- Elementary Linear Algebra by Muhammad Usman Hamid
- the tools and methods essential for studying the solution spaces of problems in mathematics, engineering, t... verse of a matrix (by elementary row operations), solution of linear system, Gauss-Jordan method, Gaussian e
- Notes of Analysis
- l-of-complex-analysis-prof-m-saleem]]**</caption> Solutions of some exercises from Fundamental of Complex An
- Vector & Tensor Analysis by Dr Nawazish Ali (Solutions)
- =====Vector & Tensor Analysis by Dr Nawazish Ali (Solutions)====== {{ :notes:vector-and-tensor-analysis-by-d... link|Vector & Tensor Analysis by Dr Nawazish Ali (Solutions)}} We are very thankful to [[people:fazal-abbas]] for sharing these solutions. Vector & Tensor Analysis for Scientists and Eng... of the Pakistan. On this page, we have added the solutions of the exercises of the book. Solutions of Chapt
- Complex Analysis by M Usman Hamid
- hat of real numbers was first necessitated by the solution of algebraic equations. For example, the quadrati... $ don't possess real roots. In order to find the solution of these equations, Euler(1707-1783) was first to
- Number Theory Notes by Anwar Khan
- * Congruence * Complete Residue System * Solutions of the Congruence * Perfect Number * Redu
- Notes for Numerical Methods by M Usman Hamid
- l sm="6"> * Introduction * Error analysis * Solution of the non-linear equations * Bisection methods... rmula * Newton Raphson extended formula * The solution of linear system of equations * Gauss eliminati... Differential equations * Methods for numerical solutions of ordinary differential equations * Taylor’s
- Numerical Analysis II
- e * Bool’s Rule * Weddle’s Rule * Numerical solution of ODE’s (ordinary differential equations) or Ini
- Numerical Analysis by M Usman Hamid
- f numerical algorithms for finding an approximate solution to a mathematical problem. ^ Name |Numerical An
- Operation Research by Sir Haidar Ali
- inear function * Objective function * Optimal solution * General linear programming problem * Graphical solution of linear programming problem * Corner point * Infeasible region * Unbounded solution * Simplex method for solving linear programming... m * Surplus variable * Initial basic feasible solution * Gauss jordan method * Special case in simpl
- Operation Research: Handwritten Notes
- jective function 2 * Decision variables 2 * Solution space 2 * Optimum solution 2 * Standard form 2 * Conversion of maximization to minimization 3 * Linear programming formulation and graphical solution 4 <grid> <col sm="6"> * Simplex method (or the general solution technique) 22 * Algorithm 22 * Optimality c
- Partial Differential Equations by M Usman Hamid
- r Equation, Method of Characteristics and General Solutions, Canonical Forms of First-Order Linear Equations... ms, Equations with Constant Coefficients, General Solutions, Summary and Further Simplification, Exercises
- Partial Differential Equations by Muzammil Tanveer
- thod * Some Eigen values and Eigen function * Solution of Non-Homogeneous Equation * Solution of Homogeneous Equation * Laplace Equation * Polar form of Lap
- Mechanics I (Statics) by Dr Babar Ahmad
- ns * Scalars and Vectors * Composition and Resolution of Forces * Equilibrium * Friction * Linear
- Special Functions by Dr. Muhey-U-Din
- onfluent Hypergeometric Differential Equation * Solution of Confluent Hypergeometric function * Recurren... ypergeometric function * Hermite’s Equation * Solution of Hermite’s Equation * Recurrence relation of ... r Laguerre’s polynomial * Bessel’s Function * Solution of Bessel’s Differential Equation * Recurrence ... g Legendre polynomial * Legendre’s Equation * Solution of Legendre’s Equation * Some Modern Special Fu