COMPUTATIONAL MATHEMATICS

WORKED EXAMPLES AND PROBLEMS WITH ELEMENTS OF THEORY

Reasonable utilization of modern computer techniques is out of the question without skillful application of approximate and numerical analysis, which explains the remarkable growth of interest in the methods of approximate calculation. Computational mathematics as a teaching discipline has an increasing place in the syllabuses of engineering and economics faculties and colleges and with it the demand for textbooks in this discipline has grown. A particularly acute need for manuals on solving problems in computational mathematics is felt. The present book is an attempt to provide such a manual. The book has the following structure: each section begins with a brief theoretical introduction on setting the problem, giving working formulas, computational schemes, estimates of error, and a comparison of different methods from the angle of their laboriousness, their attainable degree of accuracy, and the convenience of solving them on a computer. There follows a detailedsolution of model problems illustrating the appropriate algorithms. At the end of the section problems for independent practice are suggested. Answers are given for most of these problems.