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  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.
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Description du livre Springer, 1986. État : Very Good. 1986th Edition. Ships from the UK. Former Library book. Great condition for a used book! Minimal wear. N° de réf. du libraire GRP96898069
Description du livre Springer-Verlag Berlin and Heidelberg GmbH & Co. K, 1986. Hardcover. État : Near Fine. Near Fine. book. N° de réf. du libraire F5S4-8-Z-3540152512-4
Description du livre Springer, 1986. Hardcover. État : Good. 1986. Ships with Tracking Number! INTERNATIONAL WORLDWIDE Shipping available. May not contain Access Codes or Supplements. Buy with confidence, excellent customer service!. N° de réf. du libraire 3540152512