The theory of numbers

Author(s)

• 弥永, 昌吉 イヤナガ, ショウキチ

Bibliographic Information

The theory of numbers

edited by S. Iyanaga ; translated by K. Iyanaga

（North-Holland mathematical library, v. 8）

North-Holland Pub. Co. , American Elsevier Pub. Co., 1975

• : North-Holland
• : American Elsevier

Other Title

数論

Sūron

Note

Bibliography: p. 519-535

Includes index

Description and Table of Contents

Description

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. Featured topics- Analysis on manifolds- Differential forms on jet spaces - Global variational functionals- Euler-Lagrange mapping - Helmholtz form and the inverse problem- Symmetries and the Noether's theory of conservation laws- Regularity and the Hamilton theory- Variational sequences - Differential invariants and natural variational principles

Table of Contents

Tentative Table of Contents:PrefaceList of Standard SymbolsChapter 1: Smooth ManifoldsChapter 2: Analysis on ManifoldsChapter 3: Lie Transformation GroupsChapter 4: Lagrange StructuresChapter 5: Elementary Sheaf TheoryChapter 6: Variational Sequences on Fibered ManifoldsChapter 7: Invariant Variational Functionals on Principal BundlesChapter 8: Differential Invariants Chapter 9: Natural Variational Principles AppendicesBibliographyIndex

by "Nielsen BookData"

Details

• NCID: BA03774869
• ISBN:
  • 0720424585
  • 0444106782
• LCCN: 75023202
• Country Code: ne
• Title Language Code: eng
• Text Language Code: eng
• Original Language Code: jpn
• Place of Publication: Amsterdam,New York
• Pages/Volumes: xi, 541 p.
• Size: 23 cm
• Classification:
  • LCC : QA247
  • DC : 512/.74
• Subject Headings:
  • LCSH : Class field theory
• Parent Bibliography ID:
  • BA00018746