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Sets for Mathematics - Paperback, by Lawvere F. William - Good
US $44.25
ApproximatelyS$ 56.77
Condition:
Good
A book that has been read but is in good condition. Very minimal damage to the cover including scuff marks, but no holes or tears. The dust jacket for hard covers may not be included. Binding has minimal wear. The majority of pages are undamaged with minimal creasing or tearing, minimal pencil underlining of text, no highlighting of text, no writing in margins. No missing pages.
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Located in: Philadelphia, Pennsylvania, United States
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eBay item number:405165538295
Item specifics
- Condition
- Book Title
- Sets for Mathematics
- ISBN
- 9780521010603
About this product
Product Identifiers
Publisher
Cambridge University Press
ISBN-10
0521010608
ISBN-13
9780521010603
eBay Product ID (ePID)
1941009
Product Key Features
Number of Pages
276 Pages
Publication Name
Sets for Mathematics
Language
English
Publication Year
2003
Subject
Set Theory, Logic
Type
Textbook
Subject Area
Mathematics
Format
Trade Paperback
Dimensions
Item Height
0.7 in
Item Weight
17.3 Oz
Item Length
9.9 in
Item Width
6.7 in
Additional Product Features
Intended Audience
College Audience
LCCN
2002-071478
Dewey Edition
21
Reviews
"...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
Illustrated
Yes
Dewey Decimal
511
Table Of Content
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.
Synopsis
Advanced undergraduate or beginning graduate students need a unified foundation for their study of geometry, analysis, and algebra. For the first time, 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 that express universal properties of sums, products, mapping sets, and natural number recursion., In this book, first published in 2003, 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., Advanced undergraduate or beginning graduate students need a unified foundation for their study of geometry, analysis, and algebra. This book, first published in 2003, 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.
LC Classification Number
QA248.L28 2002
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- 6***u (7920)- Feedback left by buyer.Past monthVerified purchaseHonest seller and fast shipping.
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Popular categories from this store
Seller feedback (178,353)
- 6***u (7920)- Feedback left by buyer.Past monthVerified purchaseHonest seller and fast shipping.
- 0***e (166)- Feedback left by buyer.Past monthVerified purchaseItem as described
- e***l (1047)- Feedback left by buyer.Past monthVerified purchaseGreat condition thank you!