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Sets for Mathematics.

Lawvere, F. William.

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Sets for Mathematics.

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Sets for Mathematics./
作者:	Lawvere, F. William.
其他作者:	Rosebrugh, Robert.
出版者:	Cambridge :Cambridge University Press, : 2003.,
面頁冊數:	277 p.
內容註:	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
內容註:	Appendix C Definitions, Symbols, and the Greek AlphabetBibliography; Index
標題:	Set theory. -
電子資源:	http://dx.doi.org/10.1017/CBO9780511755460Click 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:

520081
Set theory.
Index Terms--Genre/Form:

542853
Electronic books.

LC Class. No.: QA248 .L28 2003eb

Dewey Class. No.: 511.32

Sets for Mathematics.
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505 8 $a Appendix C Definitions, Symbols, and the Greek AlphabetBibliography; Index
520 $a 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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