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  • Stewart, Ian, 1945- author.
     
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  • Logic, Symbolic and mathematical.
     
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  •  The foundations of m...
     
     
     
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    The foundations of mathematics / Ian Stewart and David Tall.
    by Stewart, Ian, 1945- author.
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    Subjects
  • Logic, Symbolic and mathematical.
  • ISBN: 
    9780198706434
    019870643X
    9780198706441
    0198706448
    Description: 
    xvi, 391 pages : illustrations ; 23 cm
    Edition: 
    Second edition.
    Contents: 
    Part I. The intuitive background -- 1. Mathematical thinking -- 2. Number systems -- Part II. The beginnings of formalisation -- 3. Sets -- 4. Relations -- 5. Functions -- 6. Mathematical logic -- 7. Mathematical proof -- Part III. The development of axiomatic systems -- 8. Natural numbers and proof by induction -- 9. Real numbers -- 10. Real numbers as a complete ordered field -- 11. Complex numbers and beyond -- Part IV. Using axiomatic systems -- 12. Axiomatic systems, structure theorems, and flexible thinking -- 13. Permutations and groups -- 14. Cardinal numbers -- 15. Infinitesimals -- Part V. Strengthening the foundations -- 16. Axioms for set theory.
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    Call No.CollectionStatusLocation 
    QA9 .S755 2015Circulating BooksChecked InSt. Clair County Community CollegeAdd Copy to MyList

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