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Determinants and Their Applications in Mathematical Physics

  • Book
  • © 1999

Overview

Authors:
  1. Robert Vein

    1. Department of Computer Science and Applied Mathematics, Aston University, Birmingham B47ET, UK

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    You can also search for this author in PubMed   Google Scholar

  2. Paul Dale

    1. Department of Computer Science and Applied Mathematics, Aston University, Birmingham B47ET, UK

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Applied Mathematical Sciences (AMS, volume 134)

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Table of contents (6 chapters)

  1. Front Matter

    Pages i-xiv
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  2. Determinants, First Minors, and Cofactors

    Pages 1-6

  3. A Summary of Basic Determinant Theory

    Pages 7-15

  4. Intermediate Determinant Theory

    Pages 16-50

  5. Particular Determinants

    Pages 51-169

  6. Further Determinant Theory

    Pages 170-234

  7. Applications of Determinants in Mathematical Physics

    Pages 235-303

  8. Back Matter

    Pages 304-378
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About this book

The last treatise on the theory of determinants, by T. Muir, revised and enlarged by W. H. Metzler, was published by Dover Publications Inc. in 1960. It is an unabridged and corrected republication of the edition ori- nally published by Longman, Green and Co. in 1933 and contains a preface by Metzler dated 1928. The Table of Contents of this treatise is given in Appendix 13. A small number of other books devoted entirely to determinants have been published in English, but they contain little if anything of importance that was not known to Muir and Metzler. A few have appeared in German and Japanese. In contrast, the shelves of every mathematics library groan under the weight of books on linear algebra, some of which contain short chapters on determinants but usually only on those aspects of the subject which are applicable to the chapters on matrices. There appears to be tacit agreement among authorities on linear algebra that determinant theory is important only as a branch of matrix theory. In sections devoted entirely to the establishment of a determinantal relation, many authors de?ne a determinant by ?rst de?ning a matrixM and then adding the words: “Let detM be the determinant of the matrix M” as though determinants have no separate existence. This belief has no basis in history.

Authors and Affiliations

  • Department of Computer Science and Applied Mathematics, Aston University, Birmingham B47ET, UK

    Robert Vein, Paul Dale

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