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MARC 21

Linear Algebra
Tag	Description
020	$a9783662015452
082	$a512
099	$aOnline resource: Springer
100	$aGreub, Werner Hildbert$d1925-
245	$aLinear Algebra$h[EBook]$cby Werner H. Greub.
250	$aSecond Editon.
260	$aBerlin, Heidelberg$bSpringer$c1963.
300	$aXI, 338 pages$bonline resource.
336	$atext
338	$aonline resource
440	$aDie Grundlehren der Mathematischen Wissenschaften, In Einzeldarstellungen mit Besonderer Berücksichtigung der Anwendungsgebiete,$x0072-7830 ;$v97
505	$aI. 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.
520	$aBesides 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.
538	$aOnline access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users)
710	$aSpringerLink (Online service)
830	$aDie Grundlehren der Mathematischen Wissenschaften, In Einzeldarstellungen mit Besonderer Berücksichtigung der Anwendungsgebiete,$v97
856	$uhttp://dx.doi.org/10.1007/978-3-662-01545-2