Determinantentheorie

Front Cover
American Mathematical Soc., 1948 - Mathematics - 320 pages
0 Reviews
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.
 

What people are saying - Write a review

We haven't found any reviews in the usual places.

Contents

Historische Bemerkungen
1
Definition der nreihigen Determinante
6
Einfachste Eigenschaften der Determinanten
21
Unterdeterminanten
29
Systeme linearer Gleichungen
41
Multiplikation von Matrizen und Determinanten
59
Determinanten deren Elemente Minoren einer andern sind
71
Symmetrische Determinanten
101
Resultanten und Diskriniinanten
160
Lineare und quadratische Formen
169
Funktionaldeterminanten
200
Wronskische und G ramsche Determinanten
223
Einige geometrische Anwendungen der Determinanten
232
Die linearen Integrslgleichungen
264
Elementarteilertheorie
298
Literaturnachweise und Anmerkungen
316

Schiefsymmetrische Determinanten
121
Orthogonale Determinanten
144
Sachregister
318
Copyright

Other editions - View all

Common terms and phrases

References to this book

All Book Search results »

Bibliographic information