000			02656cam a22003614a 4500
001			11294
003			CUTN
005			20131025113002.0
008			050906s2005 riua 001 0 eng
010			_a 2005054563
020			_a9780821891858
035			_a(OCoLC)ocm61500114
035			_a(NNC)5635910
040			_aDLC _cDLC _dYDX _dBAKER _dOrLoB-B
042			_apcc
050	0	0	_aQA315 _b.M58 2005
082	0	4	_a515 _222
100	1		_aMorgan, Frank. _zMOR
245	1	0	_aReal analysis and applications : _bincluding Fourier series and the calculus of variations / _cFrank Morgan.
260			_aProvidence, R.I. : _bAmerican Mathematical Society, _cc2005.
300			_ax, 197 p. : _bill. ; _c27 cm.
500			_aIncludes index.
504			_aIncludes bibliographical references and index.
505	0	0	_gCh. 1. _tNumbers and logic -- _gCh. 2. _tInfinity -- _gCh. 3. _tSequences -- _gCh. 4. _tSubsequences -- _gCh. 5. _tFunctions and limits -- _gCh. 6. _tComposition of functions -- _gCh. 7. _tOpen and closed sets -- _gCh. 8. _tCompactness -- _gCh. 9. _tExistence of maximum -- _gCh. 10. _tUniform continuity -- _gCh. 11. _tConnected sets and the intermediate value theorem -- _gCh. 12. _tThe cantor set and fractals -- _gCh. 13. _tThe derivative and the mean value theorem -- _gCh. 14. _tThe Riemann integral -- _gCh. 15. _tThe fundamental theorem of calculus -- _gCh. 16. _tSequences of functions -- _gCh. 17. _tThe Lebesgue theory -- _gCh. 18. _tInfinite series [Sigma][subscript n=1][superscript [infinity]] a[subscript n] -- _gCh. 19. _tAbsolute convergence -- _gCh. 20. _tPower series -- _gCh. 21. _tThe exponential function -- _gCh. 22. _tVolumes of n-balls and the gamma function -- _gCh. 23. _tFourier series -- _gCh. 24. _tStrings and springs -- _gCh. 25. _tConvergence of Fourier series -- _gCh. 26. _tEuler's equation -- _gCh. 27. _tFirst integrals and the brachistochrone problem -- _gCh. 28. _tGeodesics and great circles -- _gCh. 29. _tVariational notation, higher order equations -- _gCh. 30. _tHarmonic functions -- _gCh. 31. _tMinimal surfaces -- _gCh. 32. _tHamilton's action and Lagrange's equations -- _gCh. 33. _tOptimal economic strategies -- _gCh. 34. _tUtility of consumption -- _gCh. 35. _tRiemannian geometry -- _gCh. 36. _tNonEuclidean geometry -- _gCh. 37. _tGeneral relativity.
650		0	_aMathematical analysis _vTextbooks.
650		0	_aCalculus of variations _vTextbooks.
650		0	_aFunctions of real variables _vTextbooks.
650		0	_aFourier series _vTextbooks.
856	4	1	_3Table of contents _uhttp://www.loc.gov/catdir/toc/fy0604/2005054563.html
900			_bTOC
942			_2ddc _cBOOKS _01
948	1		_a20060531 _bc _csds12 _dMPS
999			_c1286 _d1286