LEADER 03215oam 2200469K 450 001 9910861080303321 005 20240513030317.0 010 $a1-351-24672-0 010 $a1-351-24674-7 035 $a(CKB)4100000010134739 035 $a(MiAaPQ)EBC6032878 035 $a(OCoLC)1139396273 035 $a(OCoLC-P)1139396273 035 $a(FlBoTFG)9781351246743 035 $a(EXLCZ)994100000010134739 100 $a20200207d2020 uy 0 101 0 $aeng 135 $aur|n||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntroductory analysis$b[electronic resource] $ean inquiry approach /$fJohn D. Ross, Kendall C. Richards 205 $a1st ed. 210 $aBoca Raton, FL $cCRC Press$d2020 215 $a1 online resource (251 pages) 311 $a0-8153-7144-6 320 $aIncludes bibliographical references and index. 327 $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. 330 $aIntroductory 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 606 $aMathematical analysis 606 $aInquiry-based learning 615 0$aMathematical analysis. 615 0$aInquiry-based learning. 676 $a515 700 $aRoss$b John D$0108324 701 $aRichards$b Kendall C$01740413 801 0$bOCoLC-P 801 1$bOCoLC-P 906 $aBOOK 912 $a9910861080303321 996 $aIntroductory analysis$94166076 997 $aUNINA