Sets for Mathematics
(Sprache: Englisch)
For the first time in a textbook, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra.
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Klappentext zu „Sets for Mathematics “
For the first time in a textbook, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra.
Inhaltsverzeichnis zu „Sets for Mathematics “
Foreword; 1. Abstract sets and mappings; 2. Sums, monomorphisms and parts; 3. Finite inverse limits; 4. Colimits, epimorphisms and the axiom of choice; 5. Mapping sets and exponentials; 6. Summary of the axioms and an example of variable sets; 7. Consequences and uses of exponentials; 8. More on power sets; 9. Introduction to variable sets; 10. Models of additional variation; Appendices; Bibliography.
Bibliographische Angaben
- Autoren: W. Lawvere , F. W. Lawvere , Robert Rosebrugh
- 276 Seiten, Masse: 17,8 x 25,4 cm, Kartoniert (TB), Englisch
- Verlag: Cambridge University Press
- ISBN-10: 0521010608
- ISBN-13: 9780521010603
- Erscheinungsdatum: 11.10.2013
Sprache:
Englisch
Rezension zu „Sets for Mathematics “
"...the categorical approach to mathematics has never been presented with greater conviction than it has in this book. The authors show that the use of categories in analyzing the set concept is not only natural, but inevitable." Mathematical Reviews "To learn set theory this way means not having to relearn it later... Recommended." Choice
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