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Iterative methods or those methods by which approximations are improved until one receives an accurate value comprise an important learning objective in mathematics. Keeping this in mind, the main objective of this book is to incorporate important iterative methods in a single volume, at an appropriate depth. This will enable students and researchers to apply these iterative techniques to scientific and engineering problems. The text discusses in detail the methods of solving linear systems of equations, nonlinear equations, system of non-linear equations, initial value problems and partial differential equations of all the three types by the use of iterative methods. The text is substantiated with 335 problems including many solved examples and exercises with answers at the end of each chapter. This book incorporates the material covered in the courses of undergraduate and postgraduate programs in engineering, science and technology and will be of great help to scientists, engineers, researchers and students. It can be used both as a text and a good reference book for those who run after numerical evaluations.