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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
- 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
- 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
- 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 Muzammil Tanveer
- thod * Some Eigen values and Eigen function * Solution of Non-Homogeneous Equation * Solution of Homogeneous Equation * Laplace Equation * Polar form of Lap
- 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
- Mathematical Method by Sir Muhammad Awais Aun
- <grid><col sm="6"> * Differential Equations * Solution of a Differential Equation * Linearly Independe
- Mathematical Method by Muhammad Usman Hamid
- of mathematical methods that are essential to the solution of advanced problems encountered in the fields of... The Laplace transforms. Hankel transforms for the solution of PDEs and their application to boundary value p
- Fundamental of Complex Analysis (Solutions of Some Exercises)
- Regular or Holomorphic Functions** | **{{ :notes:solution-ch02-analytic-or-regular-or-holomorphic-functions... ementary Transcendental Functions** | **{{ :notes:solution-ch03-Elementary-Transcendental-Functions.pdf |Dow... pter 04: Complex Integration p87** | **{{ :notes:solution-ch04-Complex-Integration-p87.pdf |Download PDF}}*... apter 04:Complex Integration p111** | **{{ :notes:solution-ch04-Complex-Integration-p111.pdf |Download PDF}}
- Vector & Tensor Analysis by Prof Fazal Abbas
- k|Vector & Tensor Analysis by Prof Fazal Abbas}} Solution of Chapter 6: Curvilinear Coordinates of the book... s of all the chapters of the book, please buy the solution manual from the market. ^ Name |Vector & Tensor