Sets for mathematics / (Record no. 6534)
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000 -LEADER | |
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fixed length control field | 01827nam a22002297a 4500 |
003 - CONTROL NUMBER IDENTIFIER | |
control field | OSt |
005 - DATE AND TIME OF LATEST TRANSACTION | |
control field | 20220329093347.0 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION | |
fixed length control field | 130109b xxu||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER | |
International Standard Book Number | 0521010608 |
040 ## - CATALOGING SOURCE | |
Transcribing agency | tshering |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER | |
Classification number | 511.322 WILL |
100 ## - MAIN ENTRY--PERSONAL NAME | |
Personal name | Lawvere, F. William. |
245 ## - TITLE STATEMENT | |
Title | Sets for mathematics / |
Statement of responsibility, etc | F W Lawvere; Robert Rosebrugh |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) | |
Place of publication, distribution, etc | New York : |
Name of publisher, distributor, etc | Cambridge University Press, |
Date of publication, distribution, etc | 2003. |
300 ## - PHYSICAL DESCRIPTION | |
Extent | xiii, 261 p. : |
Other physical details | ill. ; |
Dimensions | 25.3 cm. |
504 ## - BIBLIOGRAPHY, ETC. NOTE | |
Bibliography, etc | Includes bibliography and index. |
520 ## - SUMMARY, ETC. | |
Summary, etc | Advanced undergraduate or beginning graduate students need a unified foundation for their study of geometry, analysis, and algebra. For the first time in a text, this book uses categorical algebra to build such a foundation, starting from intuitive descriptions of mathematically and physically common phenomena and advancing to a precise specification of the nature of Categories of Sets. Set theory as the algebra of mappings is introduced and developed as a unifying basis for advanced mathematical subjects such as algebra, geometry, analysis, and combinatorics. The formal study evolves from general axioms which express universal properties of sums, products, mapping sets, and natural number recursion. The distinctive features of Cantorian abstract sets, as contrasted with the variable and cohesive sets of geometry and analysis, are made explicit and taken as special axioms. Functor categories are introduced in order to model the variable sets used in geometry, and to illustrate the failure of the axiom of choice. An appendix provides an explicit introduction to necessary concepts from logic, and an extensive glossary provides a window to the mathematical landscape |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | Set thoery. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM | |
Topical term or geographic name as entry element | MATHEMATICS |
Form subdivision | Set Theory. |
700 ## - ADDED ENTRY--PERSONAL NAME | |
Personal name | Rosebrugh, Robert. |
942 ## - ADDED ENTRY ELEMENTS (KOHA) | |
Source of classification or shelving scheme | Dewey Decimal Classification |
Koha item type | Books |
Withdrawn status | Lost status | Source of classification or shelving scheme | Damaged status | Not for loan | Home library | Current library | Date acquired | Cost, normal purchase price | Total Checkouts | Full call number | Barcode | Date last seen | Cost, replacement price | Price effective from | Koha item type |
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Dewey Decimal Classification | Paro College Library | Paro College Library | 09/01/2013 | 2755.00 | 511.322 WILL | *12815* | 09/01/2013 | 2805.00 | 09/01/2013 | Books | |||||
Dewey Decimal Classification | Paro College Library | Paro College Library | 09/01/2013 | 511.322 WILL | *12816* | 09/01/2013 | 09/01/2013 | Books | |||||||
Dewey Decimal Classification | Paro College Library | Paro College Library | 09/01/2013 | 511.322 WILL | *12817* | 09/01/2013 | 09/01/2013 | Books |