000			02718cam a22002778i 4500
001			21443754
005			20250224105845.0
008			200210s2020 flu b 001 0 eng
010			_a 2019051900
020			_a9780815371441 _q(hardback)
040			_aLBSOR/DLC _beng _erda _cDLC
042			_apcc
050	0	0	_aQA300 _b.R66 2020
082	0	0	_a515 _223
100	1		_aRoss, John D., _eauthor. _95324
245	1	0	_aIntroductory analysis : _ban inquiry approach / _cJohn D. Ross and Kendall C. Richards.
263			_a2002
260		1	_aBoca Raton, FL : _bCRC Press, _c[2020]
300			_apages cm
504			_aIncludes bibliographical references and index.
505	0		_aExploring mathematical statements -- Proving mathematical statements -- Preliminary content -- Properties of R -- Accumulation points and closed sets -- Open sets and open covers -- Sequences and convergence -- Subsequences and Cauchy sequences -- Functions, limits, and continuity -- Connected sets and the intermediate value theorem -- Compact sets -- Uniform continuity -- Introduction to the derivative -- The extreme and mean value theorems -- The definite integral : part I -- The definite integral : part II -- The fundamental theorem(s) of calculus -- Series -- Function approximation -- Power series -- Sequences and series of functions -- Metric spaces -- Iterated functions and fixed point theorems -- Brief summary of ordered field properties.
520			_a"Introductory Analysis: An Inquiry Approach aims to provide a self-contained, inquiry-oriented approach to undergraduate-level real analysis. The presentation of the material in the book is intended to be "inquiry-oriented'" in that as each major topic is discussed, details of the proofs are left to the student in a way that encourages an active approach to learning. The book is "self-contained" in two major ways: it includes scaffolding (i.e., brief guiding prompts marked as Key Steps in the Proof) for many of the theorems. Second, it includes preliminary material that introduces students to the fundamental framework of logical reasoning and proof-writing techniques. Students will be able to use the guiding prompts (and refer to the preliminary work) to develop their proof-writing skills. Features Structured in such a way that approximately one week of class can be devoted to each chapter Suitable as a primary text for undergraduates, or as a supplementary text for some postgraduate courses Strikes a unique balance between enquiry-based learning and more traditional approaches to teaching"-- _cProvided by publisher.
650		0	_aMathematical analysis. _9673
650		0	_aInquiry-based learning. _95325
700	1		_aRichards, Kendall C., _eauthor. _95326
999			_c686 _d686