عنوان

Linear Algebra

(Number (ISBN

3662015455

(Number (ISBN

9783662015452

Number

b579040

Title Proper

Linear Algebra

General Material Designation

[Book]

First Statement of Responsibility

by Werner H. Greub.

Edition Statement

Second Editon

Place of Publication, Distribution, etc.

Berlin, Heidelberg

Name of Publisher, Distributor, etc.

Springer Berlin Heidelberg

Date of Publication, Distribution, etc.

1963

Specific Material Designation and Extent of Item

(xi, 338 pages)

Series Title

Die Grundlehren der Mathematischen Wissenschaften, In Einzeldarstellungen mit Besonderer Berücksichtigung der Anwendungsgebiete, 97.

Text of Note

I. Linear spaces --; II. Linear transformations --; III. Matrices --; IV. Determinants --; V. Oriented linear spaces --; VI. Multilinear mappings --; VII. Tensor-algebra --; VIII. Exterior algebra --; IX. Duality in exterior algebra --; X. Inner product spaces --; XI. Linear mappings of inner product spaces --; XII. Symmetric bilinear functions --; XIII. Quadrics --; XIV. Unitary spaces --; XV. Invariant subspaces.

Text of Note

Besides the very obvious change from German to English, the second edition of this book contains many additions as weil as a great many other changes. It might even be called a new book altogether were it not for the fact that the essential character of the book has remained the same; in other words, the entire presentation continues to be based on an axiomatic treatment of linear spaces. In this second edition, the thorough-going restriction to linear spaces of finite dimension has been removed. Another complete change is the restriction to linear spaces with real or complex coefficients, thereby removing a number of relatively involved discussions which did not really contribute substantially to the subject. On p.6 there is a list of those chapters in which the presentation can be transferred directly to spaces over an arbitrary coefficient field. Chapter I deals with the general properties of a linear space. Those concepts which are only valid for finitely many dimensions are discussed in a special paragraph. Chapter 11 now covers only linear transformations while the treat ment of matrices has been delegated to a new chapter, chapter 111. The discussion of dual spaces has been changed; dual spaces are now intro duced abstractly and the connection with the space of linear functions is not established untillater.

Mathematics.

by Werner H. Greub.

Werner H Greub

Electronic name

[Book]

Y