Wagner’s Theory of Generalised Heaps

Authors: Hollings, Christopher, Lawson, Mark

  • Presents original discussion, insight and contextual development of  Wagner’s work
  • Illuminates modern relevance through applications to current mathematical research
  • Serves as a reference for Wagner's theory of generalised heaps
  • Contains a technical discussion of the translation: notation, how and why technical words have been translated
see more benefits

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-319-63621-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-3-319-63620-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

The theories of V. V. Wagner (1908-1981) on abstractions of systems of binary relations are presented here within their historical and mathematical contexts.  This book contains the first translation from Russian into English of a selection of Wagner’s papers, the ideas of which are connected to present-day mathematical research.  Along with a translation of Wagner’s main work in this area,  his 1953 paper ‘Theory of generalised heaps and generalised groups,’ the book also includes translations of three short precursor articles that provide additional context for his major work.

Researchers and students interested in both algebra (in particular, heaps, semiheaps, generalised heaps, semigroups, and groups) and differential geometry will benefit from the techniques offered by these translations, owing to the natural connections between generalised heaps and generalised groups, and the role played by these concepts in differential geometry.  This book gives examples from present-day mathematics where ideas related to Wagner’s have found fruitful applications.

Table of contents (9 chapters)

  • Introduction

    Hollings, Christopher D. (et al.)

    Pages 1-3

  • Viktor Vladimirovich Wagner (1908–1981)

    Hollings, Christopher D. (et al.)

    Pages 5-6

  • Wagner’s Work in Historical Context

    Hollings, Christopher D. (et al.)

    Pages 7-23

  • Notes on the Translations

    Hollings, Christopher D. (et al.)

    Pages 25-29

  • A Ternary Algebraic Operation in the Theory of Coordinate Structures

    Hollings, Christopher D. (et al.)

    Pages 31-35

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-3-319-63621-4
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-3-319-63620-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Loading...

Recommended for you

Loading...

Bibliographic Information

Bibliographic Information
Book Title
Wagner’s Theory of Generalised Heaps
Authors
Copyright
2017
Publisher
Springer International Publishing
Copyright Holder
Springer International Publishing AG
eBook ISBN
978-3-319-63621-4
DOI
10.1007/978-3-319-63621-4
Hardcover ISBN
978-3-319-63620-7
Edition Number
1
Number of Pages
XV, 189
Number of Illustrations and Tables
19 b/w illustrations
Topics