000			02739cam a2200385Mi 4500
001			ocn851818540
003			OCoLC
005			20231107110752.0
006			m o d
007			cr cnu
008			130403s2002 xxu s 000 0 eng
020			_a9781475736878 (electronic bk.)
020			_a1475736878 (electronic bk.)
020			_z9781441929143
020			_z1441929142
035			_a(OCoLC)851818540
040			_aAU@ _beng _cAU@ _dOCLCO _dGW5XE
082			_a515.7 _bSAX
090			_aQA299.6-433
100	1		_aSaxe, Karen.
245	1	0	_aBeginning Functional Analysis _h[electronic resource] / _cby Karen Saxe.
260			_aNew York, NY : _bSpringer New York, _c2002.
300			_a1 online resource (xi, 197 p.)
490	1		_aUndergraduate Texts in Mathematics, _x0172-6056.
505	0		_aMetric Spaces, Normed Spaces, Inner Product Spaces -- The Topology of Metric Spaces -- Measure and Integration -- Fourier Analysis in Hilbert Space -- An Introduction to Abstract Linear Operator Theory -- Further Topics -- Appendix A: Complex Numbers -- Appendix B: Basic Set Theory -- Appendix C: Biographies.
506			_aOnline version restricted to NUS staff and students only through NUSNET.
520			_aThe unifying approach of functional analysis is to view functions as points in some abstract vector space and the differential and integral operators relating these points as linear transformations on these spaces. The author presents the basics of functional analysis with attention paid to both expository style and technical detail, while getting to interesting results as quickly as possible. The book is accessible to students who have completed first courses in linear algebra and real analysis. Topics are developed in their historical context, with accounts of the past - including biographies - appearing throughout the text. The book offers suggestions and references for further study, and many exercises. Karen Saxe is Associate Professor of Mathematics at Macalester College in St. Paul, Minnesota. She received her Ph.D. from the University of Oregon. Before joining the faculty at Macalester, she held a two-year FIPSE post-doctoral position at St. Olaf College in Northfield, Minnesota. She currently serves on the editorial board of the MAA's College Mathematics Journal. This is her first book.
538			_aMode of access: World Wide Web.
538			_aSystem requirements: Internet connectivity; World Wide Web browser.
650		0	_aMathematics.
650		0	_aGlobal analysis (Mathematics)
830		0	_aUndergraduate texts in mathematics.
942			_2ddc _cPROJECT
956	4	0	_3SBA _uhttp://libproxy1.nus.edu.sg/login?url=http://dx.doi.org/10.1007/978-1-4757-3687-8
999			_c40264 _d40264