000 03456nam a22004935i 4500
001 978-3-319-63621-4
003 DE-He213
005 20181204134421.0
007 cr nn 008mamaa
008 170909s2017 gw | s |||| 0|eng d
020 _a9783319636214
_9978-3-319-63621-4
024 7 _a10.1007/978-3-319-63621-4
_2doi
040 _aISI Library, Kolkata
050 4 _aQA174-183
072 7 _aPBG
_2bicssc
072 7 _aMAT002010
_2bisacsh
072 7 _aPBG
_2thema
082 0 4 _a512.2
_223
100 1 _aHollings, Christopher D.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aWagner’s Theory of Generalised Heaps
_h[electronic resource] /
_cby Christopher D. Hollings, Mark V. Lawson.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2017.
300 _aXV, 189 p. 19 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
505 0 _a1. Introduction -- 2. Viktor VladimirovichWagner (1908–1981) -- 3. Wagner’s work in historical context -- 4. Notes on the translations -- 5. A ternary algebraic operation in the theory of coordinate structures -- 6. On the theory of partial transformations -- 7. Generalised groups -- 8. Theory of generalised heaps and generalised groups -- 9. Generalised heaps as affine structures. - Wagner’s publications. –Index.
520 _aThe 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.
650 0 _aGroup theory.
650 0 _aGlobal differential geometry.
650 1 4 _aGroup Theory and Generalizations.
_0http://scigraph.springernature.com/things/product-market-codes/M11078
650 2 4 _aHistory of Mathematical Sciences.
_0http://scigraph.springernature.com/things/product-market-codes/M23009
650 2 4 _aDifferential Geometry.
_0http://scigraph.springernature.com/things/product-market-codes/M21022
700 1 _aLawson, Mark V.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319636207
776 0 8 _iPrinted edition:
_z9783319636221
776 0 8 _iPrinted edition:
_z9783319875972
856 4 0 _uhttps://doi.org/10.1007/978-3-319-63621-4
912 _aZDB-2-SMA
942 _cEB
950 _aMathematics and Statistics (Springer-11649)
999 _c427233
_d427233