Geometry and Algebra of Multidimensional Three-Webs

Geometry and Algebra of Multidimensional Three-Webs

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*Et moi, ..., Ii j'avait so comment en revenir. je One serviee mathematics has rendered the n 'y serais point all~.' human nee. It hal put rommon sense back Jules Verne whme it belongs, on the topmost shelf next to the dusty canister labelled' discarded nonsense'. The series il divergent; therefore we may be EricT. Bell able to do scmething with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and nonlineari- ties abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sci- ences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One ser- vice topology has rendered mathematical physics ...'; 'One service logic has rendered computer science ...'; 'One service category theory has rendered mathematics ...'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
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Product details

  • Hardback | 358 pages
  • 155 x 235 x 27.43mm | 730g
  • Dordrecht, Netherlands
  • English
  • 1992 ed.
  • XVII, 358 p.
  • 0792316843
  • 9780792316848

Table of contents

Preface. 1. Three-Webs and Geometric Structures Associated with Them. 2. Algebraic Structures Associated with Three-Webs. 3. Transversally Geodesic and Isoclinic Three-Webs. 4. The Bol Three-Webs and the Moufang Three-Webs. 5. Closed G-Structures Associated with Three-Webs. 6. Automorphisms of Three-Webs. 7. Geometry of the Fourth Order Differential Neighborhood of a Multidimensional Three-Web. 8. d-Webs of Codimension r. Appendix A. Web Geometry and Mathematical Physics; E.V. Ferapontov. Bibliography. Symbols Frequently Used. Index.
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Review quote

'The book is warmly recommended to everyone doing research in the related fields.' Deutschen Mathematiker-Vereinigung 97:21 1993
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