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Quadratic Forms in Infinite Dimensional Vector Spaces

Name: Quadratic Forms in Infinite Dimensional Vector Spaces
Brand: Springer-Verlag New York Inc.
SKU: 9781475714562
Price: 245.73 PLN
Availability: InStock

Autor: Herbert Gross

Język:

Oprawa: Miękka

Wydawca: Springer-Verlag New York Inc.

Dostępność: Dostępna u dostawcy w małych ilościach

Wysyłamy za 13-18 dni

245.73 zł

For about a decade I have made an effort to study quadratic forms in infinite dimensional vector spa...

Informacje o książce

Autor

Herbert Gross

Język

Angielski

Oprawa

Książka - Miękka

Data wydania

2013

strony

419

EAN

9781475714562

ISBN

1475714564

Enbook ID

05182018

Wydawca

Springer-Verlag New York Inc.

Waga

567

Wymiary

148 x 210 x 24

Pełny opis

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 (" ~O- forms") . Certain among the resul ts 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 ~ -dimensional 0 spaces ideally serves the purpose. First, these spaces show a large nurober 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 ~O it is easy to see, in a given case, wheth er topological language is appropriate or not) .