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chowdhury n numerical methods 2019

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Textbook in PDF format Contents: Preface Polynomial Approximations and taylor Polynomials Taylor Polynomials Taylor's Remainder Taylor Series Maclaurin Series Solutions of Equations in One Variable The Bisection Method Error bound in the bisection method Fixed-point Iteration Newton's Method Error term of Newton's method The Secant method Method of false position Miiller's Method Brent's Algorithm ............................ ............................ Exhaustive search method Fibonacci method Optimization of Functions of Several Variables Multivariate Grid Search Method Univariate Search Method Gradient Methods: Directional Derivatives Direction of the Steepest Descent (Ascent) Steepest descent (ascent) method: one variable at a time Steepest ascent (descent) mcdod: multiple variable at a time Constrained Optimization References

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chowdhury n numerical methods 2019