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Grewal 2018-07-19 This book is intended as an introduction to numerical methods for scientists and engineers. Providing an excellent balance of theoretical and 

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Numerical Methods in Engineering and Science B. S. Grewal 2018-07-19 This book is intended as an introduction to numerical methods for scientists and.

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Numerical analysis is a branch of Mathematics that deals with devising e?cient methods for obtaining numerical solutions to di?cult Mathematical problems Most of the Mathematical problems that arise in science and engineering are very hard and sometime impossible to solve exactly

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What is numerical analysis?

Introduction Numerical analysis is a branch of Mathematics that deals with devising e?cient methods for obtaining numerical solutions to di?cult Mathematical problems. Most of the Mathematical problems that arise in science and engineering are very hard and sometime impossible to solve exactly.

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Numerical analysis include three parts. The ?rst part of the subject is about the development of a method to a problem. The second part deals with the analysis of the method, which includes the error analysis and the e?ciency analysis.

How does numerical integration work?

The idea behind numerical integration is to approximatethe integrand f(x) to a much simpler function that can be integrated easily. One obvious approximation is the interpolation by polynomials. Thus, we approximate I(f) by I(pn), where pn(x) is the polynomial of degree ? n which agrees with f(x) at the distinct points x