MEI Further Maths: Numerical Methods
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Description
Contents
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Language
English
ISBN
9781510451407
Cover
Title Page
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Contents
Getting the most from this book
1 Approximation
1.1 Absolute and relative error
1.2 Rounding and chopping
1.3 Arithmetic using approximate values
2 The solution of equations
2.1 Roots of equations and graphs
2.2 Bisection method
2.3 False position (an application of linear interpolation)
2.4 Fixed point iteration
2.5 Newton-Raphson method
2.6 Secant method
3 Numerical integration
3.1 Midpoint rule
3.2 Trapezium rule
3.3 Simpson’s rule
4 Approximating functions
4.1 Newton’s forward difference interpolation formula
4.2 Lagrange’s form of the interpolating polynomial
5 Numerical differentiation
5.1 Forward difference approximation
5.2 Central difference approximation
5.3 Errors in approximation
6 Rates of convergence in numerical processes
6.1 Rates of convergence of sequences
6.2 Convergence in numerical integration and differentiation as h changes.
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