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Inhaltsangabe
Category Theory has developed rapidly. This book aims to present those ideas and methods which can now be effectively used by Mathe- maticians working in a variety of other fields of Mathematical research. This occurs at several levels. On the first level, categories provide a convenient conceptual language, based on the notions of category, functor, natural transformation, contravariance, and functor category. These notions are presented, with appropriate examples, in Chapters I and II. Next comes the fundamental idea of an adjoint pair of functors. This appears in many substantially equivalent forms: That of universal construction, that of direct and inverse limit, and that of pairs offunctors with a natural isomorphism between corresponding sets of arrows. All these forms, with their interrelations, are examined in Chapters III to V. The slogan is "Adjoint functors arise everywhere". Alternatively, the fundamental notion of category theory is that of a monoid -a set with a binary operation of multiplication which is associative and which has a unit; a category itself can be regarded as a sort of general- ized monoid. Chapters VI and VII explore this notion and its generaliza- tions. Its close connection to pairs of adjoint functors illuminates the ideas of universal algebra and culminates in Beck's theorem characterizing categories of algebras; on the other hand, categories with a monoidal structure (given by a tensor product) lead inter alia to the study of more convenient categories of topological spaces.
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Category Theory has developed rapidly. This book aims to present those ideas and methods which can now be effectively used by Mathe maticians working in a variety of other fields of Mathematical research. This occurs at several levels. On the first level, categories provide a convenient conceptual language, based on the notions of category, functor, natural transformation, contravariance, and functor category. These notions are presented, with appropriate examples, in Chapters I and II. Next comes the fundamental idea of an adjoint pair of functors. This appears in many substantially equivalent forms: That of universal construction, that of direct and inverse limit, and that of pairs offunctors with a natural isomorphism between corresponding sets of arrows. All these forms, with their interrelations, are examined in Chapters III to V. The slogan is "Adjoint functors arise everywhere". Alternatively, the fundamental notion of category theory is that of a monoid -a set with a binary operation of multiplication which is associative and which has a unit; a category itself can be regarded as a sort of general ized monoid. Chapters VI and VII explore this notion and its generaliza tions. Its close connection to pairs of adjoint functors illuminates the ideas of universal algebra and culminates in Beck's theorem characterizing categories of algebras; on the other hand, categories with a monoidal structure (given by a tensor product) lead inter alia to the study of more convenient categories of topological spaces.
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Categories for the working mathematician S. Mac Lane. Graduate texts in mathematics 5.
Verlag:
New York, Springer [1971]., 1971
ISBN 10: 0387900365
ISBN 13: 9780387900360
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Anbieter: Antiquariat Bookfarm, Löbnitz, Deutschland
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Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 18 MAC 9780387900360 Sprache: Englisch Gewicht in Gramm: 550. Bestandsnummer des Verkäufers 2505046
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Categories for the working mathematician S. Mac Lane. Graduate texts in mathematics 5.
Verlag:
New York, Springer [1971]., 1971
ISBN 10: 0387900365
ISBN 13: 9780387900360
Gebraucht
Softcover
Anbieter: Antiquariat Bookfarm, Löbnitz, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Softcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 18 MAC 9780387900360 Sprache: Englisch Gewicht in Gramm: 550. Bestandsnummer des Verkäufers 2503950
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Categories for the working mathematician S. Mac Lane. Graduate texts in mathematics 5.
Verlag:
New York, Springer [1971]., 1971
ISBN 10: 0387900365
ISBN 13: 9780387900360
Gebraucht
Hardcover
Anbieter: Antiquariat Bookfarm, Löbnitz, Deutschland
Verkäuferbewertung 5 von 5 Sternen
Hardcover. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ancien Exemplaire de bibliothèque avec signature et cachet. BON état, quelques traces d'usure. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. 18 MAC 9780387900360 Sprache: Englisch Gewicht in Gramm: 1150. Bestandsnummer des Verkäufers 2507276
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Categories for the Working Mathematician (Graduate Texts in Mathematics, 5, Band 5)
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Zustand: Good. Volume 5. This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,500grams, ISBN:0387900365. Bestandsnummer des Verkäufers 5564416
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Categories for the Working Mathematician
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Categories for the Working Mathematician (Graduate Texts in Mathematics) (Volume 5)
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Categories for the Working Mathematician (Graduate Texts in Mathematics)
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Categories for the Working Mathematician (Graduate Texts in Mathematics)
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Paperback. Zustand: new. Excellent Condition.Excels in customer satisfaction, prompt replies, and quality checks. Bestandsnummer des Verkäufers Scanned0387900365
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