In this post, we will see the book Computational Mathematics – Worked Examples and Problems With Elements of Theory by N.V. Kopchenova; I. A. Maron.

About the book

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 detailed solution 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.

For a better understanding of the essence of the matter, most of the problems for which solutions are provided have been selected so that the computations will not be especially cumbersome. It is suggested that desk computers should be used in the initial stage of instruction and for group study.

The book is intended primarily for engineering students but may also prove useful for economics students, graduate engineers, and postgraduate students and scientific workers in the applied sciences. The material, we would emphasize, does not go beyond the limits of the syllabus in computational mathematics.

The authors take this opportunity to express their deep gratitude to Kh.L. Smolitsky and I.M. Stesin for reading the manuscript. Their advice and remarks helped to improve the book. We also sincerely thank L.Z. Rumshisky for editing the whole work and for his part in the writing of chapters one and six. We are aware that the work as it stands is not free of error, the more so that it is the first teaching manual of this kind published in our country. We shall, therefore, be grateful for the advice and criticism of readers, which should be addressed to 117071, Moscow V-71, Leninsky Prospect, 15, “Nauka” Publishers Main Editorial Office for Physico-Mathematical Literature.

The book was translated from Russian by V. Shiffer was published in 1982 (second printing) by Mir Publishers.
Credits to original uploader.

You can get the book here.

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