000			03083nam a22004937a 4500
001			sulb-eb0022497
003			BD-SySUS
005			20160413122301.0
007			cr nn 008mamaa
008			130417s2013 xxu| s |||| 0|eng d
020			_a9781461462712 _9978-1-4614-6271-2
024	7		_a10.1007/978-1-4614-6271-2 _2doi
050		4	_aQA299.6-433
072		7	_aPBK _2bicssc
072		7	_aMAT034000 _2bisacsh
082	0	4	_a515 _223
100	1		_aRoss, Kenneth A. _eauthor.
245	1	0	_aElementary Analysis _h[electronic resource] : _bThe Theory of Calculus / _cby Kenneth A. Ross.
250			_a2nd ed. 2013.
264		1	_aNew York, NY : _bSpringer New York : _bImprint: Springer, _c2013.
300			_aXII, 412 p. _bonline resource.
336			_atext _btxt _2rdacontent
337			_acomputer _bc _2rdamedia
338			_aonline resource _bcr _2rdacarrier
347			_atext file _bPDF _2rda
490	1		_aUndergraduate Texts in Mathematics, _x0172-6056
505	0		_aPreface -- 1 Introduction -- 2 Sequences -- 3 Continuity -- 4 Sequences and Series of Functions -- 5 Differentiation -- 6 Integration -- 7 Capstone -- Appendix on Set Notation -- Selected Hints and Answers -- References -- Index.
520			_aFor over three decades, this best-selling classic has been used by thousands of students in the United States and abroad as a must-have textbook for a transitional course from calculus to analysis. It has proven to be very useful for mathematics majors who have no previous experience with rigorous proofs.  Its friendly style unlocks the mystery of writing proofs, while carefully examining the theoretical basis for calculus.  Proofs are given in full, and the large number of well-chosen examples and exercises range from routine to challenging. The second edition preserves the book’s clear and concise style, illuminating discussions, and simple, well-motivated proofs.  New topics include material on the irrationality of pi, the Baire category theorem, Newton's method and the secant method, and continuous nowhere-differentiable functions. Review from the first edition: "This book is intended for the student who has a good, but naïve, understanding of elementary calculus and now wishes to gain a thorough understanding of a few basic concepts in analysis.... The author has tried to write in an informal but precise style, stressing motivation and methods of proof, and ... has succeeded admirably." —MATHEMATICAL REVIEWS.
650		0	_aMathematics.
650		0	_aMathematical analysis.
650		0	_aAnalysis (Mathematics).
650		0	_aFunctions of real variables.
650	1	4	_aMathematics.
650	2	4	_aAnalysis.
650	2	4	_aReal Functions.
710	2		_aSpringerLink (Online service)
773	0		_tSpringer eBooks
776	0	8	_iPrinted edition: _z9781461462705
830		0	_aUndergraduate Texts in Mathematics, _x0172-6056
856	4	0	_uhttp://dx.doi.org/10.1007/978-1-4614-6271-2
912			_aZDB-2-SMA
942			_2Dewey Decimal Classification _ceBooks
999			_c44589 _d44589