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.

1. Abstract Sets and Mappngs 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. Donsequences and Uses of Exponentials 8. More on Power Sets 9. Introduction to Variable Sets 10. Models of Additional Variation

등록된 사용후기

사용후기 쓰기 새 창 더보기

사용후기가 없습니다.

등록된 상품문의

상품문의 쓰기새 창 더보기

상품문의가 없습니다.

배송정보

교환/반품 정보