ক্যাটাগরি তত্ত্ব: সংশোধিত সংস্করণের মধ্যে পার্থক্য
বিষয়বস্তু বিয়োগ হয়েছে বিষয়বস্তু যোগ হয়েছে
অ বিষয়শ্রেণী:ক্যাটাগরি তত্ত্ব যোগ হটক্যাটের মাধ্যমে |
অ টেমপ্লেটে সংশোধন |
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১৬ নং লাইন: | ১৬ নং লাইন: | ||
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==নোট== |
==নোট== |
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{{সূত্র তালিকা}} |
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{{Reflist}} |
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==তথ্যসূত্র== |
==তথ্যসূত্র== |
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*{{ |
*{{বই উদ্ধৃতি|title=Abstract and concrete categories|last1=Adámek |first1=Jiří |last2=Herrlich |first2=Horst |last3=Strecker |first3=George E.|publisher=John Wiley & Sons|year=1990|isbn=0-471-60922-6|url=http://katmat.math.uni-bremen.de/acc/acc.htm}} |
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*{{বই উদ্ধৃতি |
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*{{cite book |
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|first=Steve |last=Awodey |authorlink=Steve Awodey |
|first=Steve |last=Awodey |authorlink=Steve Awodey |
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|title=Category Theory |
|title=Category Theory |
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২৬ নং লাইন: | ২৬ নং লাইন: | ||
|year=2006 |publisher=Oxford University Press |isbn=978-0-19-151382-4 |
|year=2006 |publisher=Oxford University Press |isbn=978-0-19-151382-4 |
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|series=Oxford Logic Guides |volume=49 |ref=harv}} |
|series=Oxford Logic Guides |volume=49 |ref=harv}} |
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<!--*{{ |
<!--*{{ওয়েব উদ্ধৃতি|url=http://folli.loria.fr/cds/1999/library/pdf/barrwells.pdf|title=Category Theory Lecture Notes|year=1999|accessdate=11 December 2009-12-11|first1=Michael |last1=Barr |first2=Charles |last2=Wells}} Based on their book ''Category Theory for Computing Science'', [http://crm.umontreal.ca/pub/Ventes/desc/PM023.html Centre de recherches mathématiques CRM], 1999. |
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*{{citation |
*{{citation |
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| last1 = Barr | first1 = Michael | author1-link = Michael Barr (mathematician) |
| last1 = Barr | first1 = Michael | author1-link = Michael Barr (mathematician) |
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৪৬ নং লাইন: | ৪৬ নং লাইন: | ||
| volume = 12 |
| volume = 12 |
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| year = 2005}}. |
| year = 2005}}. |
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*{{বই উদ্ধৃতি |
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*{{cite book |
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| title = Handbook of categorical algebra |
| title = Handbook of categorical algebra |
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| publisher = Cambridge University Press |
| publisher = Cambridge University Press |
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৫৪ নং লাইন: | ৫৪ নং লাইন: | ||
| first1 = Francis |
| first1 = Francis |
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}} |
}} |
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*{{বই উদ্ধৃতি |
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*{{cite book |
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| title = Introduction to the theory of categories and functors |
| title = Introduction to the theory of categories and functors |
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| publisher = Wiley |
| publisher = Wiley |
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৬৩ নং লাইন: | ৬৩ নং লাইন: | ||
| first2 = Aristide |
| first2 = Aristide |
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}} |
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*{{ |
*{{বই উদ্ধৃতি|last=Freyd|first=Peter J.|title=Abelian Categories|publisher=Harper and Row|location=New York|year=1964|url=http://www.tac.mta.ca/tac/reprints/articles/3/tr3abs.html|authorlink=Peter J. Freyd}} |
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*{{ |
*{{বই উদ্ধৃতি |title=Categories, allegories |publisher=North Holland |year=1990 |series=North Holland Mathematical Library |volume=39 |last1=Freyd |first1=Peter J. |last2=Scedrov |first2=Andre |url=http://books.google.com/books?id=fCSJRegkKdoC |isbn=978-0-08-088701-2}} |
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*{{ |
*{{বই উদ্ধৃতি |first=Robert |last=Goldblatt |title=Topoi: The Categorial Analysis of Logic |url=http://books.google.com/books?id=AwLc-12-7LMC |year=2006 |publisher=Dover Publications |isbn=978-0-486-45026-1 |volume=94 |series=Studies in logic and the foundations of mathematics |edition=Reprint, revised |origyear=1979}} |
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*{{ |
*{{বই উদ্ধৃতি |first=William S. |last=Hatcher |title=The logical foundations of mathematics |url=http://books.google.com/books?id=qNXuAAAAMAAJ |year=1982 |publisher=Pergamon Press |series=Foundations & philosophy of science & technology |chapter=Ch. 8 |edition=2nd}} |
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*{{Citation| last1= Herrlich |first1= Horst |last2=Strecker |first2=George E. |year=2007|edition=3rd|title=Category Theory |publisher= Heldermann Verlag Berlin |isbn=978-3-88538-001-6}}. |
*{{Citation| last1= Herrlich |first1= Horst |last2=Strecker |first2=George E. |year=2007|edition=3rd|title=Category Theory |publisher= Heldermann Verlag Berlin |isbn=978-3-88538-001-6}}. |
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*{{ |
*{{বই উদ্ধৃতি |first1=Masaki |last1=Kashiwara |first2=Pierre |last2=Schapira |title=Categories and Sheaves |url=http://books.google.com/books?id=K-SjOw_2gXwC |year=2006 |publisher=Springer |isbn=978-3-540-27949-5 |volume=332 |series=Grundlehren der Mathematischen Wissenschaften }} |
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*{{ |
*{{বই উদ্ধৃতি |first1=F. William |last1=Lawvere |first2=Robert |last2=Rosebrugh |title=Sets for Mathematics |url=http://books.google.com/books?id=h3_7aZz9ZMoC |year=2003 |publisher=Cambridge University Press |isbn=978-0-521-01060-3}} |
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*{{ |
*{{বই উদ্ধৃতি |first1=F. W. |last1=Lawvere |first2=Stephen Hoel |last2=Schanuel |title=Conceptual Mathematics: A First Introduction to Categories |url=http://books.google.com/books?id=h0zOGPlFmcQC |year=2009 |publisher=Cambridge University Press |isbn=978-0-521-89485-2 |edition=2nd |origyear=1997}} |
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*{{ |
*{{বই উদ্ধৃতি |last=Leinster |first=Tom |title=Higher operads, higher categories |publisher=Cambridge University Press |year=2004 |isbn=978-0-521-53215-0 |series=London Math. Society Lecture Note Series |volume=298 |url=http://www.maths.gla.ac.uk/~tl/book.html}} |
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*{{ |
*{{বই উদ্ধৃতি|last=Lurie|first=Jacob|title=Higher topos theory|publisher=Princeton University Press|year=2009|series=Annals of Mathematics Studies |volume=170|arxiv=math.CT/0608040}} |
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*{{ |
*{{বই উদ্ধৃতি |last=Mac Lane |first=Saunders |title=[[Categories for the Working Mathematician]] |publisher=Springer-Verlag |year=1998 |edition=2nd |series=Graduate Texts in Mathematics 5 |authorlink=Saunders Mac Lane |isbn=0-387-98403-8 |ref=harv}} |
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*{{ |
*{{বই উদ্ধৃতি |title=Algebra |last1=Mac Lane |first1=Saunders |first2=Garrett |last2=Birkhoff |publisher=Chelsea |year=1999| edition=2nd |isbn=0-8218-1646-2 |origyear=1967}} |
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*{{cite journal|year=1996|title=Elements of basic category theory|journal=Technical Report|publisher=Technical University Berlin|volume=96|issue=5|url=http://citeseer.ist.psu.edu/martini96element.html|first1=A. |last1=Martini |first2=H. |last2=Ehrig |first3=D. |last3=Nunes}} |
*{{cite journal|year=1996|title=Elements of basic category theory|journal=Technical Report|publisher=Technical University Berlin|volume=96|issue=5|url=http://citeseer.ist.psu.edu/martini96element.html|first1=A. |last1=Martini |first2=H. |last2=Ehrig |first3=D. |last3=Nunes}} |
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*{{ |
*{{বই উদ্ধৃতি|last=May|first=Peter|title=A Concise Course in Algebraic Topology|publisher=University of Chicago Press|year=1999|isbn=0-226-51183-9}} |
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*{{ |
*{{বই উদ্ধৃতি |first=Mazzola |last=Guerino |title=The Topos of Music, Geometric Logic of Concepts, Theory, and Performance |publisher=Birkhäuser |location= |year=2002 |isbn=3-7643-5731-2 }} |
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* {{ |
* {{বই উদ্ধৃতি | zbl=1034.18001 | editor1-last=Pedicchio | editor1-first=Maria Cristina | editor2-last=Tholen | editor2-first=Walter | title=Categorical foundations. Special topics in order, topology, algebra, and sheaf theory | series=Encyclopedia of Mathematics and Its Applications | volume=97 | location=Cambridge | publisher=[[Cambridge University Press]] | year=2004 | isbn=0-521-83414-7 }} |
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*{{ |
*{{বই উদ্ধৃতি |first=Benjamin C. |last=Pierce |title=Basic Category Theory for Computer Scientists |url=http://books.google.com/books?id=ezdeaHfpYPwC |year=1991 |publisher=MIT Press |isbn=978-0-262-66071-6}} |
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*{{ |
*{{বই উদ্ধৃতি |title=An introduction to Category Theory in four easy movements |year=2005 |url=http://www.cs.man.ac.uk/~hsimmons/BOOKS/CatTheory.pdf |last1=Schalk |first1=A. |last2=Simmons |first2=H. |format=PDF}} Notes for a course offered as part of the MSc. in [[Mathematical Logic]], [[Manchester University]]. |
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*{{ |
*{{বই উদ্ধৃতি|title=Homotopy theory of higher categories|last=Simpson|first=Carlos|arxiv=1001.4071}}, draft of a book. |
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*{{ |
*{{বই উদ্ধৃতি |first=Paul |last=Taylor |title=Practical Foundations of Mathematics |url=http://books.google.com/books?id=iSCqyNgzamcC |year=1999 |publisher=Cambridge University Press |isbn=978-0-521-63107-5 |series=Cambridge Studies in Advanced Mathematics |volume=59}} |
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*{{ |
*{{ওয়েব উদ্ধৃতি |url=http://www.dcs.ed.ac.uk/home/dt/CT/categories.pdf |title=Category Theory Lecture Notes |last=Turi |first=Daniele |date=1996–2001 |accessdate=11 December 2009}} Based on {{harvnb|Mac Lane|1998}}. |
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==আরোও পড়ুন== |
==আরোও পড়ুন== |
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* {{ |
* {{বই উদ্ধৃতি|author=Jean-Pierre Marquis|title=From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory|year=2008|publisher=Springer Science & Business Media|isbn=978-1-4020-9384-5}} |
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== বহিঃসংযোগ == |
== বহিঃসংযোগ == |
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৯৩ নং লাইন: | ৯৩ নং লাইন: | ||
* [[André Joyal]], [http://ncatlab.org/nlab CatLab], a wiki project dedicated to the exposition of categorical mathematics. |
* [[André Joyal]], [http://ncatlab.org/nlab CatLab], a wiki project dedicated to the exposition of categorical mathematics. |
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* {{citation |first=Chris |last=Hillman |title=A Categorical Primer |id={{citeseerx|10.1.1.24.3264}}}}, a formal introduction to category theory. |
* {{citation |first=Chris |last=Hillman |title=A Categorical Primer |id={{citeseerx|10.1.1.24.3264}}}}, a formal introduction to category theory. |
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* {{ |
* {{ওয়েব উদ্ধৃতি |first1=J. |last1=Adamek |first2=H. |last2=Herrlich |first3=G. |last3=Stecker |title=Abstract and Concrete Categories-The Joy of Cats |format=PDF |url=http://katmat.math.uni-bremen.de/acc/acc.pdf}} |
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* {{sep entry|category-theory|Category Theory|Jean-Pierre Marquis}} with an extensive bibliography. |
* {{sep entry|category-theory|Category Theory|Jean-Pierre Marquis}} with an extensive bibliography. |
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* [http://www.mta.ca/~cat-dist/ List of academic conferences on category theory] |
* [http://www.mta.ca/~cat-dist/ List of academic conferences on category theory] |
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* {{ |
* {{ওয়েব উদ্ধৃতি |last=Baez |first=John |title=The Tale of ''n''-categories |year=1996 |work= |publisher= |url=http://math.ucr.edu/home/baez/week73.html}} — An informal introduction to higher order categories. |
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* [http://wildcatsformma.wordpress.com WildCats] is a category theory package for [[Mathematica]]. Manipulation and visualization of objects, [[morphism]]s, categories, [[functor]]s, [[natural transformation]]s, [[universal properties]]. |
* [http://wildcatsformma.wordpress.com WildCats] is a category theory package for [[Mathematica]]. Manipulation and visualization of objects, [[morphism]]s, categories, [[functor]]s, [[natural transformation]]s, [[universal properties]]. |
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* {{YouTube|user=TheCatsters|title=The catsters}}, a channel about category theory. |
* {{YouTube|user=TheCatsters|title=The catsters}}, a channel about category theory. |
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১০৩ নং লাইন: | ১০৩ নং লাইন: | ||
* [http://www.j-paine.org/cgi-bin/webcats/webcats.php Interactive Web page] which generates examples of categorical constructions in the category of finite sets. |
* [http://www.j-paine.org/cgi-bin/webcats/webcats.php Interactive Web page] which generates examples of categorical constructions in the category of finite sets. |
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{{পূর্বনির্ধারিতবাছাই:Category Theory}} |
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[[বিষয়শ্রেণী:ক্যাটাগরি তত্ত্ব]] |
[[বিষয়শ্রেণী:ক্যাটাগরি তত্ত্ব]] |
০১:৪১, ২২ মার্চ ২০১৭ তারিখে সংশোধিত সংস্করণ
ক্যাটাগরি তত্ত্ব[১] গণিতের একটি তত্ত্ব এবং এর ধারণা 'বস্তু' ও তীর -এর সংকলন।
নোট
তথ্যসূত্র
- Adámek, Jiří; Herrlich, Horst; Strecker, George E. (১৯৯০)। Abstract and concrete categories। John Wiley & Sons। আইএসবিএন 0-471-60922-6।
- Awodey, Steve (২০০৬)। Category Theory। Oxford Logic Guides। 49। Oxford University Press। আইএসবিএন 978-0-19-151382-4।
আরোও পড়ুন
- Jean-Pierre Marquis (২০০৮)। From a Geometrical Point of View: A Study of the History and Philosophy of Category Theory। Springer Science & Business Media। আইএসবিএন 978-1-4020-9384-5।
বহিঃসংযোগ
- Theory and Application of Categories, an electronic journal of category theory, full text, free, since 1995.
- nLab, a wiki project on mathematics, physics and philosophy with emphasis on the n-categorical point of view.
- André Joyal, CatLab, a wiki project dedicated to the exposition of categorical mathematics.
- Hillman, Chris, A Categorical Primer, টেমপ্লেট:Citeseerx , a formal introduction to category theory.
- Adamek, J.; Herrlich, H.; Stecker, G.। "Abstract and Concrete Categories-The Joy of Cats" (PDF)।
- Category Theory স্ট্যানফোর্ড এনসাইক্লোপিডিয়া অফ ফিলোসফি-র ভুক্তি, লিখেছেন Jean-Pierre Marquis with an extensive bibliography.
- List of academic conferences on category theory
- Baez, John (১৯৯৬)। "The Tale of n-categories"। — An informal introduction to higher order categories.
- WildCats is a category theory package for Mathematica. Manipulation and visualization of objects, morphisms, categories, functors, natural transformations, universal properties.
- ইউটিউবে The catsters চ্যানেল, a channel about category theory.
- টেমপ্লেট:Planetmath reference
- Video archive of recorded talks relevant to categories, logic and the foundations of physics.
- Interactive Web page which generates examples of categorical constructions in the category of finite sets.