Inicio > Matemáticas y ciencia > Ciencia: cuestiones generales > Quadratic Forms in Infinite Dimensional Vector Spaces
Quadratic Forms in Infinite Dimensional Vector Spaces

Quadratic Forms in Infinite Dimensional Vector Spaces

H. Gross

65,59 €
IVA incluido
Disponible
Editorial:
Springer Nature B.V.
Año de edición:
1979
Materia
Ciencia: cuestiones generales
ISBN:
9780817611118
65,59 €
IVA incluido
Disponible

Selecciona una librería:

  • Librería Samer Atenea
  • Librería Aciertas (Toledo)
  • Kálamo Books
  • Librería Perelló (Valencia)
  • Librería Elías (Asturias)
  • Donde los libros
  • Librería Kolima (Madrid)
  • Librería Proteo (Málaga)
Sobre IBD

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).

Artículos relacionados

  • Cases on Research-Based Teaching Methods in Science Education
    Eugene de Silva
    While the great scientists of the past recognized a need for a multidisciplinary approach, today’s schools often treat math and science as subjects separate from the rest. This not only creates a disinterest among students, but also a potential learning gap once students reach college and then graduate into the workforce. Cases on Research-Based Teaching Methods in Science Educ...
  • Enhancing Qualitative and Mixed Methods Research with Technology
    Shalin Hai-Jew
    In light of the expensive nature of quantitative research, such as experiments, researchers must seek other methods of understanding the world around them. As such, new qualitative methods are gaining ground in the modern research community. Enhancing Qualitative and Mixed Methods Research with Technology explores the integration of new digital tools into the research process. ...
  • Emerging Research on Bioinspired Materials Engineering
    Mohamed Bououdina
    Bioinspired materials can be defined as the organic or inorganic materials that mimic naturally occurring substances. With applications in a number of fields such as biomedical, chemical, mechanical, and civil engineering, research on the development of biologically-inspired materials is essential to further advancement. Emerging Research on Bioinspired Materials Engineering pr...
  • Contemporary Knowledge and Systems Science
    As branches of research and knowledge continue to expand, platforms for gathering and understanding new information become important aspects of organizational improvement. Contemporary Knowledge and Systems Science provides emerging research on the methods and applications of knowledge systems in social science, economics, and technological developments. While highlighting topi...
  • BOUQUET OF DYSON, A
    BERNSTEIN JEREMY / Jeremy Bernstein
    University of Texas at Austin My friendship with Freeman Dyson goes back over a half century. My first contact with him goes back to the late 1950s, when I was at the Institute for Advanced Study, and then evolved when I was a consultant at General Atomics in La Jolla, California. Freeman was then trying to design a space ship — the Orion — which would be propelled by atomic bo...
    Disponible

    33,35 €

  • CLOUDS ARE NOT SPHERES
    LESMOIR-GORDON NIGEL / NIGEL LESMOIR-GORDON
     The time is right, following Benoît Mandelbrot's death in 2010, to publish this landmark book about the life and work of this maverick math genius.This compact book celebrates the life and achievements of Benoît Mandelbrot with the ideas of fractals presented in a way that can be understood by the interested lay-person. Mathematics is largely avoided. Instead, Mandelbrot&#...