Name: Quadratic Forms in Infinite Dimensional Vector Spaces (en Inglés)
Price: 65.02 USD
Availability: InStock
Author: Gross, Herbert
ISBN: 9781475714562

portada Quadratic Forms in Infinite Dimensional Vector Spaces (en Inglés)

Quadratic Forms in Infinite Dimensional Vector Spaces (en Inglés)

Formato

Libro Físico

Autor

Herbert Gross

Editorial

Springer

Idioma

Inglés

N° páginas

419

Encuadernación

Tapa Blanda

Dimensiones

21.0 x 14.8 x 2.3 cm

Peso

0.52 kg.

ISBN13

9781475714562

Categorías

Álgebra
Cálculo y análisis matemático

Quadratic Forms in Infinite Dimensional Vector Spaces (en Inglés)

Herbert Gross (Autor) · Springer · Tapa Blanda

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Reseña del libro "Quadratic Forms in Infinite Dimensional Vector Spaces (en Inglés)"

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) .