LEADER 04570nam  22008535  450 
001 9910300257703321
005 20200703223717.0
010   $a3-319-20436-X
024 7 $a10.1007/978-3-319-20436-9
035   $a(CKB)3710000000521688
035   $a(SSID)ssj0001585291
035   $a(PQKBManifestationID)16265211
035   $a(PQKBTitleCode)TC0001585291
035   $a(PQKBWorkID)14864694
035   $a(PQKB)11669267
035   $a(DE-He213)978-3-319-20436-9
035   $a(MiAaPQ)EBC6315103
035   $a(MiAaPQ)EBC5579240
035   $a(Au-PeEL)EBL5579240
035   $a(OCoLC)921176635
035   $a(PPN)190517948
035   $a(EXLCZ)993710000000521688
100   $a20150910d2015      u|         0
101 0 $aeng
135   $aurnn#008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aMathematical Concepts /$fby Jürgen Jost
205   $a1st ed. 2015.
210  1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015.
215   $a1 online resource (XV, 312 p. 130 illus., 16 illus. in color.)
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-319-20435-1 
320   $aIncludes bibliographical references and index.
327   $aOverview and perspective -- Foundations -- Relations -- Spaces -- What is space? -- Spaces of relations -- Structures -- Categories -- Topoi -- A review of examples.
330   $aThe main intention of this book is to describe and develop the conceptual, structural and abstract thinking of mathematics. Specific mathematical structures are used to illustrate the conceptual approach; providing a deeper insight into mutual relationships and abstract common features. These ideas are carefully motivated, explained and illustrated by examples so that many of the more technical proofs can be omitted. The book can therefore be used: ·         simply as an overview of the panorama of mathematical structures and the relations between them, to be supplemented by more detailed texts whenever you want to acquire a working knowledge of some structure ·         by itself as a first introduction to abstract mathematics ·         together with existing textbooks, to put their results into a more general perspective ·         to gain a new and hopefully deeper perspective after having studied such textbooks Mathematical Concepts has a broader scope and is less detailed than standard mathematical textbooks so that the reader can readily grasp the essential concepts and ideas for individual needs. It will be suitable for advanced mathematicians, postgraduate students and for scientists from other fields with some background in formal reasoning.  .
606   $aGeometry, Algebraic
606   $aCategories (Mathematics)
606   $aAlgebra, Homological
606   $aAlgebra
606   $aConvex geometry
606   $aDiscrete geometry
606   $aGeometry, Differential
606   $aBiomathematics
606   $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019
606   $aCategory Theory, Homological Algebra$3https://scigraph.springernature.com/ontologies/product-market-codes/M11035
606   $aGeneral Algebraic Systems$3https://scigraph.springernature.com/ontologies/product-market-codes/M1106X
606   $aConvex and Discrete Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21014
606   $aDifferential Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21022
606   $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000
615  0$aGeometry, Algebraic.
615  0$aCategories (Mathematics)
615  0$aAlgebra, Homological.
615  0$aAlgebra.
615  0$aConvex geometry.
615  0$aDiscrete geometry.
615  0$aGeometry, Differential.
615  0$aBiomathematics.
615 14$aAlgebraic Geometry.
615 24$aCategory Theory, Homological Algebra.
615 24$aGeneral Algebraic Systems.
615 24$aConvex and Discrete Geometry.
615 24$aDifferential Geometry.
615 24$aMathematical and Computational Biology.
676   $a510.1
700   $aJost$b Jürgen$4aut$4http://id.loc.gov/vocabulary/relators/aut$054734
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300257703321
996   $aMathematical concepts$91522715
997   $aUNINA