The theory of numbers

The theory of numbers

by Iyanaga, Shokichi

Type Book
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This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the rea…

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Title Statements

  • Full title :The theory of numbers / edited by S. Iyanaga ; translated by K. Iyanaga.

Summary

This book provides a comprehensive introduction to modern global variational theory on fibred spaces. It is based on differentiation and integration theory of differential forms on smooth manifolds, and on the concepts of global analysis and geometry such as jet prolongations of manifolds, mappings, and Lie groups. The book will be invaluable for researchers and PhD students in differential geometry, global analysis, differential equations on manifolds, and mathematical physics, and for the readers who wish to undertake further rigorous study in this broad interdisciplinary field.

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Edition Statements

  • Publication Date:1975.

Publication Statements

Notes

Translation of Sūron.

The Physical Object

  • Description:1 online resource (xi, 541 pages)

Edition Identifiers

  • ISBN:9780080954165, 0080954162, 9786613837950, 6613837954
  • oclc:ocn428094653
  • LC Classification:QA247
  • Dewey Decimal:512/.74

Table of Contents

Chomology of groups -- Valuation theory -- Adele rings and idele groups -- Main theorems of class field theory -- Proofs of the main theorems.

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