1    Introduction

images 1.1 Why Numerical Methods?

Engineers and scientists frequently encounter linear and nonlinear mathematical equations, integrals, differential equations, and data to be manipulated. Sometimes the manipulations to be performed are easy and straightforward; often they are not. This is particularly true of nonlinear problems, that is, problems in which variables occur as products, including products of themselves, or as functions of transcendental functions, like the trigonometric or logarithmic relations. If the mathematics to be performed cannot be done in closed form (i.e., an exact analytic symbolic solution is obtained), ...

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