Sets for Mathematics
F. William Lawvere
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Description for Sets for Mathematics
Paperback. In this book, first published in 2003, categorical algebra is used to build a foundation for the study of geometry, analysis, and algebra. Num Pages: 276 pages, 84 b/w illus. 219 exercises. BIC Classification: PBCH. Category: (P) Professional & Vocational; (U) Tertiary Education (US: College). Dimension: 255 x 179 x 15. Weight in Grams: 516.
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 ... Read more
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 ... Read more
Product Details
Publisher
Cambridge University Press United Kingdom
Number of pages
276
Format
Paperback
Publication date
2003
Condition
New
Weight
513g
Number of Pages
276
Place of Publication
Cambridge, United Kingdom
ISBN
9780521010603
SKU
V9780521010603
Shipping Time
Usually ships in 4 to 8 working days
Ref
99-1
Reviews for Sets for Mathematics
"...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 "To learn set theory this way means not having to relearn it later.... Recommended." Choice