| Record ID | marc_columbia/Columbia-extract-20221130-019.mrc:100181686:3710 |
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LEADER: 03710cam a2200553 a 4500
001 9323649
005 20120522172219.0
008 120307s1998 nyua b 001 0 eng
010 $a 97045229
015 $aGB98-80385
016 7 $a955028914$2DE-101
019 $a40460681
020 $a0387984038 (hardcover : alk. paper)
020 $a9780387984032 (hardcover : alk. paper)
035 $a(OCoLC)ocm37928530
035 $a(OCoLC)37928530$z(OCoLC)40460681
035 $a(NNC)9323649
040 $aDLC$cDLC$dMIA$dC#P$dOHX$dUKM$dBAKER$dNLGGC$dBTCTA$dYDXCP$dOCLCG$dUBA$dHEBIS$dZWZ$dDEBSZ$dCNCGM
050 00 $aQA169$b.M33 1998
072 7 $aQA$2lcco
082 00 $a512/.55$221
084 $a31.27$2bcl
100 1 $aMac Lane, Saunders,$d1909-2005.
245 10 $aCategories for the working mathematician /$cSaunders Mac Lane.
250 $a2nd ed.
260 $aNew York :$bSpringer,$cc1998.
300 $axii, 314 p. :$bill. ;$c25 cm.
490 1 $aGraduate texts in mathematics ;$v5
504 $aIncludes bibliographical references (p. 297-302) and index.
505 0 $aI. Categories, Functors, and Natural Transformations -- II. Constructions on Categories -- III. Universals and Limits -- IV. Adjoints -- V. Limits -- VI. Monads and Algebras -- VII. Monoids -- VIII. Abelian Categories -- IX. Special Limits -- X. Kan Extensions -- XI. Symmetry and Braiding in Monoidal Categories -- XII. Structures in Categories -- App. Foundations -- Table of Standard Categories: Objects and Arrows.
520 1 $a"Categories for the Working Mathematician provides an array of general ideas useful in a wide variety of fields. Starting from the foundations, this book illuminates the concepts of category, functor, natural transformation, and duality. The book then turns to adjoint functors, which provide a description of universal constructions, an analysis of the representations of functors by sets of morphisms, and a means of manipulating direct and inverse limits. These categorical concepts are extensively illustrated in the remaining chapters, which include many applications of the basic existence theorem for adjoint functors. The categories of algebraic systems are constructed from certain adjoint-like data and characterized by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions."--BOOK JACKET.
650 0 $aCategories (Mathematics)
650 17 $aCategorieën (wiskunde)$2gtt
650 7 $aTeoria das categorias.$2larpcal
650 7 $aTopologia algébrica.$2larpcal
650 7 $aÁlgebra homológica.$2larpcal
650 07 $aKategorie <Mathematik>$2swd
650 7 $aCatégories abéliennes.$2ram
650 7 $aMonoïdes.$2ram
650 7 $aCatégories (mathématiques).$2ram
830 0 $aGraduate texts in mathematics ;$v5.
856 42 $3Publisher description$uhttp://catdir.loc.gov/catdir/enhancements/fy0815/97045229-d.html
856 41 $3Table of contents only$uhttp://catdir.loc.gov/catdir/enhancements/fy0815/97045229-t.html
856 4 $qtext/html$uhttp://swbplus.bsz-bw.de/bsz070122326vlg.htm$3Verlagsinformation
856 4 $uhttp://www.gbv.de/dms/goettingen/237559129.pdf$yInhaltsverzeichnis$zKostenfrei
856 41 $3Inhaltsverzeichnis$uhttp://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=008340566&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
856 41 $3Inhaltsverzeichnis$uhttp://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&doc_number=015385211&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA
856 42 $mX:GBV$uhttp://d-nb.info/955028914/04$3Inhaltsverzeichnis
852 00 $bmat$hQA169$i.M33 1998