عنوان

Quadratic Forms in Infinite Dimensional Vector Spaces

شابک

9780817611118

شابک

9781489935427

شماره

b401763

عنوان اصلي

Quadratic Forms in Infinite Dimensional Vector Spaces

نام عام مواد

[Book]

نام نخستين پديدآور

by Herbert Gross.

محل نشرو پخش و غیره

Boston, MA :

نام ناشر، پخش کننده و غيره

Imprint: Birkhäuser,

تاریخ نشرو بخش و غیره

1979.

عنوان فروست

Progress in Mathematics,

مشخصه جلد

1

شاپا ي ISSN فروست

0743-1643 ;

متن يادداشت

For about a decade I have made an effort to study quadratic forms in infinite dimensional vector spaces over arbitrary division rings. Here we present in a systematic fashion half of the results found du ring this period, to wit, the results on denumerably infinite spaces (" NO-forms'''). Certain among the results included here had of course been published at the time when they were found, others appear for the first time (the case, for example, in Chapters IX, X , XII where I in clude results contained in the Ph.D.theses by my students W. Allenspach, L. Brand, U. Schneider, M. Studer). If one wants to give an introduction to the geometric algebra of infinite dimensional quadratic spaces, a discussion of N-dimensional O spaces ideally serves the purpose. First, these spaces show a large number of phenomena typical of infinite dimensional spaces. Second, most proofs can be done by recursion which resembles the familiar pro cedure by induction in the finite dimensional situation. Third, the student acquires a good feeling for the linear algebra in infinite di mensions because it is impossible to camouflage problems by topological expedients (in dimension NO it is easy to see, in a given case, wheth er topological language is appropriate or not).

شماره استاندارد بين المللي کتاب و موسيقي

9780817611118

عنوان

Springer eBooks

موضوع مستند نشده

Science (General).

مستند نام اشخاص تاييد نشده

Gross, Herbert.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190307161300.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y