000			01741cam a2200313 i 4500
001			18228686
003			IIITD
005			20190820020002.0
008			140716s2015 enka b 001 0 eng
010			_a 2014946122
020			_a9780198706434
040			_aDLC _beng _erda _cDLC _dDLC
042			_apcc
050	0	0	_aQA9 _b.S755 2015
082	0	0	_a511.3 _223 _bSTE-F
100	1		_aStewart, Ian
245	1	4	_aThe foundations of mathematics _cIan Stewart and David Tall.
250			_a2nd ed.
260			_aUnited Kingdom : _bOxford University Press, _c©2015.
300			_axvi, 391 p. : _bill. ; _c25 cm.
504			_aIncludes bibliographical references (pages 383-385) and index.
505	0		_aPart 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.
650		0	_aLogic, Symbolic and mathematical.
700	1		_aTall, David
906			_a7 _bcbc _corigcop _d2 _encip _f20 _gy-gencatlg
942			_2ddc _cBK _02
999			_c13523 _d13523