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020 _a9780521526272
040 _arda
_cMSULIB
_beng
_erda
050 0 0 _aQA300 COH
100 1 _aCohen, Graeme Laurence.
_eauthor.
245 1 2 _aA course in modern analysis and its applications /
_ccreated by Graeme L. Cohen.
260 _aCambridge ;
_aNew York :
_bCambridge University Press,
_c2003.
264 _c©2003.
300 _axiii, 333 pages :
_billustrations ;
_c23 cm.
336 _2rdacontent
_atext
337 _2rdamedia
_aunmediated
_bn
338 _2rdacarrier
_avolume
_bnc
490 _aAustralian Mathematical Society lecture series ;
_v17
504 _aIncludes bibliographical references and index.
505 _aPreface; 1. Prelude to modern analysis; 2. Metric spaces; 3. The fixed point theorem and its applications; 4. Compactness; 5. Topological spaces; 6. Nomed vector spaces; 7. Mappings on normed spaces; 8. Inner product spaces; 9. Hilbert spaces; References; Index.
520 _aDesigned for one-semester courses for senior undergraduates, this 2003 book approaches topics initially through convergence of sequences in metric space. However, the alternative topological approach is also described. Applications are included from differential and integral equations, systems of linear algebraic equations, approximation theory, numerical analysis and quantum mechanics.
650 0 _aMathematical analysis.
942 _2lcc
_cB
999 _c158913
_d158913