5

Solution of Algebraic and Transcendental Equations

5.1 Introduction to Numerical Methods

Analytical methods fail to produce desired results in many practical problems. So, the need for numerical methods—methods of solution of problems in terms of numbers on a computer or a calculator—has been greatly felt. With the advent of high-speed computers the importance of numerical techniques has enormously increased. Engineering students have some basic knowledge of concepts like algorithms, errors, computation, convergence and stability.

Numerical methods are used to solve problems on computer or calculators by numerical calculations giving a table of numbers or Figures. In solving a problem numerically, the following steps are involved: Mathematical ...

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