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Quadratic And Hermitian Forms (grundlehren Der Mathematischen Wissenschaften) by W. Scharlau, Winfried Scharlau is a nonfiction available to read on EtoBox.

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For a long time - at least from Fermat to Minkowski - the theory of quadratic forms was a part of number theory. Much of the best work of the great number theorists of the eighteenth and nineteenth century was concerned with problems about quadratic forms. On the basis of their work, Minkowski, Siegel, Hasse, Eichler and many others crea ted the impressive "arithmetic" theory of quadratic forms, which has been the object of the well-known books by Bachmann (1898/1923), Eichler (1952), and O'Meara (1963). Parallel to this development the ideas of abstract algebra and abstract linear algebra introduced by Dedekind, Frobenius, E. Noether and Artin led to today's structural mathematics with its emphasis on classification problems and general structure theorems. On the basis of both - the number theory of quadratic forms and the ideas of modern algebra - Witt opened, in 1937, a new chapter in the theory of quadratic forms. His most fruitful idea was to consider not single "individual" quadratic forms but rather the entity of all forms over a fixed ground field and to construct from this an algebra ic object. This object - the Witt ring - then became the principal object of the entire th

Who reads Quadratic And Hermitian Forms (grundlehren Der Mathematischen Wissenschaften)?

Author

W. Scharlau, Winfried Scharlau

Publisher

Springer-Verlag Berlin and Heidelberg GmbH & Co. K

Published

1984

Language

EN

ISBN

9783642699719

Category

nonfiction

Subjects

Mathematics, Stem