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040 _aIIITD
082 _a 515
_bMOR-R
100 _aMorgan, Frank
245 _aReal analysis and applications :
_bincluding fourier series and the calculus of variations
_cby Frank Morgan
260 _aHyderabad :
_bUniversities Press,
_c©2005
300 _a197 p. x :
_bill. ;
_c27 cm.
500 _aThis book has an index.
505 _tCh. 1. Numbers and logic
_tCh. 2. Infinity
_tCh. 3. Sequences
_tCh. 4. Subsequences
_t Ch. 5. Functions and limits
_tCh. 6. Composition of functions
_tCh. 7. Open and closed sets
_tCh. 8. Compactness
_tCh. 9. Existence of maximum
_tCh. 10. Uniform continuity
_tCh. 11. Connected sets and the intermediate value theorem
_tCh. 12. The cantor set and fractals
_tCh. 13. The derivative and the mean value theorem
_t Ch. 14. The Riemann integral
_tCh. 15. The fundamental theorem of calculus
_t Ch. 16. Sequences of functions
_tCh. 17. The Lebesgue theory
650 _aConnected sets and the intermediate value theorem
650 _aCompactness
650 _aThe Riemann integral
942 _2ddc
_cBK
999 _c189531
_d189531