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Sets for Mathematics.[electronic res...

Ebooks Corporation.

Sets for Mathematics.[electronic resource].

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	511.32
書名/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.
標題:	Set theory.
ISBN:	9780511755460 (electronic bk.)
ISBN:	9780521804448 (print)
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
摘要、提要註:	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.
電子資源:	Click here to view book

Sets for Mathematics.[electronic resource].
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:

443094
Set theory.
Index Terms--Genre/Form:

336502
Electronic books.

LC Class. No.: QA248 .L28 2003eb

Dewey Class. No.: 511.32

Sets for Mathematics.[electronic resource].
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020 $a 9780511755460 (electronic bk.)
020 $a 9780521804448 (print)
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082 0 0 $a 511.32
100 1 $a Lawvere, F. William. $3 566651
245 1 0 $a Sets for Mathematics. $h [electronic resource].
260 $a Cambridge : $b Cambridge University Press, $c 2003.
300 $a 277 p.
505 0 $a 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 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.
533 $a Electronic reproduction. $n Available via World Wide Web.
538 $a Mode of access: World Wide Web.
650 4 $a Set theory. $3 443094
655 7 $a Electronic books. $2 local $3 336502
700 1 $a Rosebrugh, Robert. $3 566652
710 2 $a Ebooks Corporation. $3 380544
776 1 $z 9780521804448
856 4 0 $z Click here to view book $u http://ebooks.cambridge.org/ebook.jsf?bid=CBO9780511755460

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