A Primer on Integral Equations of the First Kind: The Problem of Deconvolution and Unfolding

A Primer on Integral Equations of the First Kind: The Problem of Deconvolution and Unfolding
Society for Industrial Mathematics | January 1, 1987 | ISBN-10: 0898712637 | 149 pages | File type: PDF

This book is 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.


Table of Contents

Front Matter FREE [ PDF ]

1. An Introduction to the Basic Problem [ PDF ]

2. Some Examples [ PDF ]

3. A Bit of Functional Analysis [ PDF ]

4. Integral Operators with Separable Kernels [ PDF ]

5. Integral Operators with General Kernels [ PDF ]

6. Some Methods of Resolving Integral Equations of the First Kind [ PDF ]

7. Some Impoant Miscellany [ PDF ]

8. Epilogue [ PDF ]

Appendix A: The Domain of K(x, y) [ PDF ]

Appendix B: Remarks about Complex Functions, Vectors, and Operators [ PDF ]

Appendix C: Modes of Convergence [ PDF ]


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