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Introduction to Set Theory (1999)  무료배송

 
지은이 : Karel Hrbacek
출판사 : Marcel Dekker
판수 : 3 edition
페이지수 : 310 pages
ISBN : 0824779150
예상출고일 : 입금확인후 2일 이내
주문수량 :
도서가격 : 65,000원 ( 무료배송 )
적립금 : 1,950 Point
     

 
The book remains an excellent text for a senior undergraduate or first-year graduate level course. There is sufficient material for instructors of widely differing views to assemble one-semester courses. . ..the chapter on the axiom of choice is particularly strong. ---Mathematical Reviews . . .a fine text. . ..The proofs are both elegant and readable. ---American Mathematical Monthly . . .offers many benefits including. . .interesting applications of abstract set theory to real analysis. . .enriching standard classroom material. ---L'Enseignement mathematique . . .an excellent and much needed book. . .Especially valuable are a number of remarks sprinkled throughout the text which afford a glimpse of further developments. ---The Mathematical Intelligencer The authors show that set theory is powerful enough to serve as an underlying framework for mathematics by using it to develop the beginnings of the theory of natural, rational, and real numbers. ---Quarterly Review of Applied Mathematics . . .In the third edition, Chapter 11 has been expanded, and four new chapters have been added. ---Mathematical Reviews
1. Sets

2. Relations, functions, and orderings

3. Natural numbers

4. Finite, countable, and uncountable sets

5. Cardinal numbers

6. Ordinal numbers

7. Alephs

8. The axiom of choice

9. Arithmetic of cardinal numbers

10. Sets of real numbers

11. Filters and ultrafilters

12. Combinatorial set theory

13. Large cardinals

14. The axiom of foundation

15. The axiomatic set theory

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