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Inhaltsangabe
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. It 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 characterised by Beck's theorem. After considering a variety of applications, the book continues with the construction and exploitation of Kan extensions. This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.
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Über die Autorin bzw. den Autor
Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.
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- VerlagSpringer
- Erscheinungsdatum1998
- ISBN 10 0387984038
- ISBN 13 9780387984032
- EinbandTapa dura
- SpracheEnglisch
- Auflage2
- Anzahl der Seiten332
- HerausgeberGehring F. W., Halmos P. R.
- Kontakt zum HerstellerNicht verfügbar
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Categories for the working mathematician. Graduate Texts in Mathematics; 5.
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Hardcover. 2nd ed. XII, 314 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-05175 9780387984032 Sprache: Englisch Gewicht in Gramm: 550. Bestandsnummer des Verkäufers 2491423
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Categories for the Working Mathematician (Graduate Texts in Mathematics, 5, Band 5)
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hardcover. Zustand: Gut. 330 Seiten; 9780387984032.3 Gewicht in Gramm: 2. Bestandsnummer des Verkäufers 931928
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Categories for the Working Mathematician (Graduate Texts in Mathematics, 5)
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Categories for the Working Mathematician (Graduate Texts in Mathematics, 5)
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CATEGORIES FOR THE WORKING MATHEMATICIAN
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Categories for the Working Mathematician
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Buch. Zustand: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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 expoitation of Kan extensions. This second edition includes a number of revisions and additions, including two new chapters on topics of active interest. One is on symmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which have recently come into prominence. The bibliography has also been expanded to cover some of the many other recent advances concerning categories. 332 pp. Englisch. Bestandsnummer des Verkäufers 9780387984032
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Categories for the Working Mathematician
Verlag:
Springer New York, Springer US Sep 1998, 1998
ISBN 10: 0387984038
ISBN 13: 9780387984032
Neu
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Buch. Zustand: Neu. Neuware -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. This second edition includes a number of revisions and additions, including two new chapters on topics of active interest. One is onsymmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which have recently come into prominence. The bibliography has also been expanded to cover some of the many other recent advances concerning categories.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 332 pp. Englisch. Bestandsnummer des Verkäufers 9780387984032
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Categories for the Working Mathematician (Graduate Texts in Mathematics, 5)
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Categories for the Working Mathematician
Verlag:
Springer New York, Springer US, 1998
ISBN 10: 0387984038
ISBN 13: 9780387984032
Neu
Hardcover
Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 expoitation of Kan extensions. This second edition includes a number of revisions and additions, including two new chapters on topics of active interest. One is on symmetric monoidal categories and braided monoidal categories and the coherence theorems for them. The second describes 2-categories and the higher dimensional categories which have recently come into prominence. The bibliography has also been expanded to cover some of the many other recent advances concerning categories. Bestandsnummer des Verkäufers 9780387984032
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Categories for the Working Mathematician
Verlag:
Springer-Verlag New York Inc., 1998
ISBN 10: 0387984038
ISBN 13: 9780387984032
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Hardback. Zustand: New. New copy - Usually dispatched within 3 working days. 620. Bestandsnummer des Verkäufers B9780387984032
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