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Class Field Theory (Paperback, Softcover reprint of the original 1st ed. 1986)
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Class Field Theory (Paperback, Softcover reprint of the original 1st ed. 1986)
Series: Grundlehren der mathematischen Wissenschaften, 280
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Class field theory, which is so immediately compelling in its main
assertions, has, ever since its invention, suffered from the fact
that its proofs have required a complicated and, by comparison with
the results, rather imper spicuous system of arguments which have
tended to jump around all over the place. My earlier presentation
of the theory 41] has strengthened me in the belief that a highly
elaborate mechanism, such as, for example, cohomol ogy, might not
be adequate for a number-theoretical law admitting a very direct
formulation, and that the truth of such a law must be susceptible
to a far more immediate insight. I was determined to write the
present, new account of class field theory by the discovery that,
in fact, both the local and the global reciprocity laws may be
subsumed under a purely group theoretical principle, admitting an
entirely elementary description. This de scription makes possible a
new foundation for the entire theory. The rapid advance to the main
theorems of class field theory which results from this approach has
made it possible to include in this volume the most important
consequences and elaborations, and further related theories, with
the excep tion of the cohomology version which I have this time
excluded. This remains a significant variant, rich in application,
but its principal results should be directly obtained from the
material treated here."
General
Imprint: |
Springer-Verlag
|
Country of origin: |
Germany |
Series: |
Grundlehren der mathematischen Wissenschaften, 280 |
Release date: |
December 2011 |
First published: |
1986 |
Authors: |
J. Neukirch
|
Dimensions: |
235 x 155 x 8mm (L x W x T) |
Format: |
Paperback
|
Pages: |
142 |
Edition: |
Softcover reprint of the original 1st ed. 1986 |
ISBN-13: |
978-3-642-82467-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
Number theory >
General
|
LSN: |
3-642-82467-6 |
Barcode: |
9783642824678 |
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