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Difference between revisions of "Pythagorean field"

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(Start article: Pythagorean field)
 
(→‎References: add Lam, Rajwade)
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====References====
 
====References====
* J. Milnor; D. Husemoller. "Symmetric Bilinear Forms", Ergebnisse der Mathematik und ihrer Grenzgebiete '''73''' Springer (1973) ISBN 3-540-06009-X, {{ZBL|0292.10016}}
+
* Tsit Yuen Lam, ''Introduction to Quadratic Forms over Fields'',  Graduate Studies in Mathematics '''67''',  American Mathematical Society (2005) ISBN 0-8218-1095-2 {{ZBL|1068.11023}} {{MR|2104929 }}
 +
* A. R. Rajwade, ''Squares'', London Mathematical Society Lecture Note Series '''171''' Cambridge University Press (1993) ISBN 0-521-42668-5 {{ZBL|0785.11022}}
 +
* J.W. Milnor, D. Husemöller, ''Symmetric bilinear forms'', Ergebnisse der Mathematik und ihrer Grenzgebiete '''73''', Springer-Verlag (1973) ISBN 0-387-06009-X {{ZBL|0292.10016}}

Revision as of 07:17, 10 December 2016

A field in which any sum of two squares is a square.

References

  • Tsit Yuen Lam, Introduction to Quadratic Forms over Fields, Graduate Studies in Mathematics 67, American Mathematical Society (2005) ISBN 0-8218-1095-2 Zbl 1068.11023 MR2104929
  • A. R. Rajwade, Squares, London Mathematical Society Lecture Note Series 171 Cambridge University Press (1993) ISBN 0-521-42668-5 Zbl 0785.11022
  • J.W. Milnor, D. Husemöller, Symmetric bilinear forms, Ergebnisse der Mathematik und ihrer Grenzgebiete 73, Springer-Verlag (1973) ISBN 0-387-06009-X Zbl 0292.10016
How to Cite This Entry:
Pythagorean field. Encyclopedia of Mathematics. URL: http://encyclopediaofmath.org/index.php?title=Pythagorean_field&oldid=39939