Einfuhrung in Die Determinantentheorie: Einschliesslich Der Fredholmschen Determinanten (AMS Chelsea Publishing)

Einfuhrung in Die Determinantentheorie: Einschliesslich Der Fredholmschen Determinanten (AMS Chelsea Publishing)

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Description

This is the third edition of Kowalewski's classic treatise on determinants. The majority of the book concerns properties of determinants of matrices, including special families of matrices, such as symmetric or orthogonal matrices. A main chapter covers the applications to linear and quadratic forms. Kowalewski then turns his attention to matrices associated to one or more functions. An example of such is the Wronskian of a collection of $n$ functions of one variable, which is connected with the theory of $n$th-order ordinary differential equations. Another key example is that of the Fredholm determinant and the associated minors, which are important in Hilbert's approach to the solution of linear integral equations. The third edition finishes with a newly added chapter on elementary divisor theory.

Contents

Historische Bemerkungen Definition der $n$-reihigen Determinante Einfachste Eigenschaften der Determinanten Unterdeterminanten Systeme linearer Gleichungen Multiplikation von Matrizen und Determinanten Determinanten, deren Elemente Minoren einer andern sind Symmetrische Determinanten Schiefsymmetrische Determinanten Orthogonale Determinanten Resultanten und Diskriminanten Lineare und quadratische Formen Funktionaldeterminanten Wronskische und Gramsche Determinanten Einige geometrische Anwendungen der Determinanten Die linearen Integralgleichungen Elementarteilertheorie Literaturnachweise und Anmerkungen Sachregister.

Product Details

  • ISBN13: 9780828400398
  • Format: Hardback
  • ID: 9780828400398
  • ISBN10: 0828400393
  • language of text: German

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