000 02834mam a2200349 a 4500
001 2190622
003 ARRUPE
005 20150115121616.0
008 980416s1999 nyua 001 0 eng
010 _a 98023909
020 _a0471127388 (cloth : alk. paper)
035 _a(OCoLC)ocm39033559
040 _aDLC
_cDLC
_dOrLoB-B
050 0 0 _aQA155
_b.S62 1999
082 0 0 _a512
_221
100 1 _aSmith, Jonathan D. H.,
_d1949-
_914011
245 1 0 _aPost-modern algebra /
_cJonathan D.H. Smith, Anna B. Romanowska.
260 _aNew York :
_bWiley,
_cc1999.
300 _axi, 370 p. :
_bill. ;
_c25 cm.
490 1 _aPure and applied mathematics
500 _a"A Wiley-Interscience publication."
500 _aIncludes index.
505 0 0 _g0.
_tIntroduction.
_g1.
_tModern and Post-Modern Algebra.
_g2.
_tAlgebra: The Central Discipline of Mathematics.
_g3.
_tSets with Structure and Sets without Structure.
_g4.
_tSemigroups and Monoids --
_gI.
_tGroups and Quasigroups.
_g1.
_tMonoid Actions.
_g2.
_tGroups and Quasigroups.
_g3.
_tSymmetry.
_g4.
_tLoops, Nets and Isotopy --
_gII.
_tLinear Algebra.
_g1.
_tGeneral Algebra and Linear Algebra.
_g2.
_tVector Spaces and Modules.
_g3.
_tCommutative Algebra --
_gIII.
_tCategories and Lattices.
_g1.
_tPosets, Monoids and Categories.
_g2.
_tLimits and Lattices.
_g3.
_tAdjoint Functors --
_gIV.
_tUniversal Algebra.
_g1.
_tSets with Operations.
_g2.
_tVarieties.
_g3.
_tAlgebraic Theories.
_g4.
_tMonads.
520 _aThis volume takes an altogether new approach to advanced algebra. Its intriguing title, inspired by the term postmodernism, denotes a departure from van der Waerden's Modern Algebra - it book that has dominated the field for nearly seventy years. Post-Modern Algebra offers a truly up-to-date alternative to the standard approach, explaining topics from an applications-based perspective rather than by abstract principles alone.
520 8 _aThe book broadens the field of study to include algebraic structures and methods used in current and emerging mathematical research, and describes the powerful yet subtle techniques of universal algebra and category theory. Classical algebraic areas of groups, rings, fields, and vector spaces are bolstered by such topics as ordered sets, monoids, monoid actions, quasigroups, loops, lattices, Boolean algebras, categories, and Heyting algebras.
520 8 _aPost-Modern Algebra is an excellent primary or supplementary text for graduate-level algebra courses. It is also an extremely useful resource for professionals and researchers in many areas who must tackle abstract, linear, or universal algebra in the course of their work.
650 0 _aAlgebra.
_914012
700 1 _aRomanowska, A. B.
_q(Anna B.)
_914013
830 0 _aPure and applied mathematics (John Wiley & Sons : Unnumbered)
_914014
942 _2lcc
_cMONOGRAPH
999 _c121689
_d121689