000			02228nam a2200349 4500
001			OTLid0000742
003			MnU
005			20201105133356.0
006			m o d s
008			190713s2004 mnu o 0 0 eng d
020			_a
040			_aMnU _beng _cMnU
050		4	_aQA37.3
245	0	0	_aMathematical Analysis I _cElias Zakon
264		2	_bOpen Textbook Library
264		1	_bThe Trillia Group
300			_a1 online resource
490	0		_aOpen textbook library.
505	0		_aChapter 1. Set Theory -- Chapter 2. Real Numbers. Fields -- Chapter 3. Vector Spaces. Metric Spaces -- Chapter 4. Function Limits and Continuity -- Chapter 5. Differentiation and Antidifferentiation
520	0		_aThis award-winning text carefully leads the student through the basic topics of Real Analysis. Topics include metric spaces, open and closed sets, convergent sequences, function limits and continuity, compact sets, sequences and series of functions, power series, differentiation and integration, Taylor's theorem, total variation, rectifiable arcs, and sufficient conditions of integrability. Well over 500 exercises (many with extensive hints) assist students through the material. For students who need a review of basic mathematical concepts before beginning "epsilon-delta"-style proofs, the text begins with material on set theory (sets, quantifiers, relations and mappings, countable sets), the real numbers (axioms, natural numbers, induction, consequences of the completeness axiom), and Euclidean and vector spaces; this material is condensed from the author's Basic Concepts of Mathematics, the complete version of which can be used as supplementary background material for the present text.
542	1		_fAttribution
546			_aIn English.
588	0		_aDescription based on print resource
650		0	_aMathematics _vTextbooks
700	1		_aZakon, Elias _eauthor
710	2		_aOpen Textbook Library _edistributor
856	4	0	_uhttps://open.umn.edu/opentextbooks/textbooks/742 _zAccess online version
999			_c20091 _d20091