Cover of Sets for Mathematics by Lawvere, W., Lawvere, F. W., Rosebrugh, Robert, ISBN 9780521010603
Set Theory

Sets for Mathematics

SETS FOR MATHEMATICS

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Paperback ยท ISBN 9780521010603

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Key Specifications

ISBN 9780521010603
Subtitle SETS FOR MATHEMATICS
Publisher Cambridge University Press
Publication date October 2003
Language English
MRP ยฃ51.00 GBP
Page count 276
Item weight 107 g

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.