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ISBD
Sets for Mathematics.
~
Lawvere, F. William.
Sets for Mathematics.
Record Type:
Electronic resources : Monograph/item
Title/Author:
Sets for Mathematics./
Author:
Lawvere, F. William.
other author:
Rosebrugh, Robert.
Published:
Cambridge :Cambridge University Press, : 2003.,
Description:
277 p.
Subject:
Set theory. -
Online resource:
Click here to view book
ISBN:
9780511755460 (electronic bk.)
Sets for Mathematics.
Lawvere, F. William.
Sets for Mathematics.
[electronic resource]. - Cambridge :Cambridge University Press,2003. - 277 p.
Cover; Half-title; Title; Copyright; Contents; Foreword; Contributors to Sets for Mathematics; 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; Appendix A Logic as the Algebra of Parts; Appendix B The Axiom of Choice and Maximal Principles
For the first time in a textbook, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra. Starting with intuitive descriptions of mathematically and physically common phenomena, it leads up to a precise specification of the Category of Sets. Suitable for advanced undergraduates and beginning graduate students.
Electronic reproduction.
Available via World Wide Web.
Mode of access: World Wide Web.
ISBN: 9780511755460 (electronic bk.)Subjects--Topical Terms:
121496
Set theory.
Index Terms--Genre/Form:
96803
Electronic books.
LC Class. No.: QA248 .L28 2003eb
Dewey Class. No.: 511.32
Sets for Mathematics.
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9780511755460 (electronic bk.)
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9780521804448 (print)
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Lawvere, F. William.
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Sets for Mathematics.
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[electronic resource].
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Cambridge :
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2003.
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Cambridge University Press,
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277 p.
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Cover; Half-title; Title; Copyright; Contents; Foreword; Contributors to Sets for Mathematics; 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; Appendix A Logic as the Algebra of Parts; Appendix B The Axiom of Choice and Maximal Principles
505
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Appendix C Definitions, Symbols, and the Greek AlphabetBibliography; Index
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For the first time in a textbook, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra. Starting with intuitive descriptions of mathematically and physically common phenomena, it leads up to a precise specification of the Category of Sets. Suitable for advanced undergraduates and beginning graduate students.
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Electronic reproduction.
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Available via World Wide Web.
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Mode of access: World Wide Web.
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Set theory.
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Rosebrugh, Robert.
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9780521804448
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Click here to view book
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http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511755460
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