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A Primer on Integral Equations of the First Kind

G. Milton Wing, with the assistance of John D. Zahrt




"The author achieves his primary goal of communicating basic understanding, rather than rigorous analysis or lengthy description of sophisticated numerical methods. The charm of this little book resides in the commentaries and insight it provides, particularly to those who are unfamiliar with the peculiarities of linear integral equations of the first kind." -- M.Z. Nashed (Newark, DE), Mathematical Reviews, Issue 93D


Designed to offer applied mathematicians, physicists, chemists, engineers, geophysicists, and other scientists an elementary level explanation of integral equations of the first kind. It maintains a casual, conversational approach. The book emphasizes understanding, while deliberately avoiding special methods of highly limited application.

Special Features

  • All problems illustrate important topics covered in the text;
  • The subject is explained using a fairly non-rigorous approach to introduce any mathematics not commonly understood by the intended audience;
  • Designed for self-study, but can also be used as a text.


Audience

Applied mathematicians, physicists, and statisticians, as well as mechanical, electrical, chemical, and aeronautical engineers concerned with deconvolution and unfolding problems will be interested in this volume. Little mathematics background is necessary--a course in engineering advanced calculus will suffice. For the more advanced reader, references are given that provide a more traditional theorem-proof approach.

Contents

An Introduction to the Basic Problem; Some Examples; A Bit of Functional Analysis; Integral Operators with Separable Kernels; Integral Operators with General Kernels; Some Methods of Resolving Integral Equations of the First Kind; Some Important Miscellany; Epilogue.

1991 / xiv + 135 pages / Softcover / ISBN-13: 978-0-898712-63-6 / ISBN-10: 0-89871-263-7 /
List Price $66.50 / SIAM Member Price $46.55 / Order Code OT27
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