LEADER 03873nam 2200505 450 001 9910585783203321 005 20230718145451.0 010 $a981-19-2553-4 035 $a(MiAaPQ)EBC7047926 035 $a(Au-PeEL)EBL7047926 035 $a(CKB)24272876400041 035 $a(PPN)26390248X 035 $a(EXLCZ)9924272876400041 100 $a20230104d2022 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDifferential calculus for engineers /$fGavriil Paltineanu, Ileana Bucur, Mariana Zamfir 210 1$aSingapore :$cSpringer,$d[2022] 210 4$d©2022 215 $a1 online resource (191 pages) 311 08$aPrint version: Paltineanu, Gavriil Differential Calculus for Engineers Singapore : Springer,c2022 9789811925528 320 $aIncludes bibliographical references and index. 327 $aIntro -- Preface -- Contents -- 1 Sequences of Real Numbers -- 1.1 Real Numbers -- 1.2 Real Number Sequences -- 1.3 Extended Real Number Line -- 2 Real Number Series -- 2.1 Convergent and Divergent Series -- 2.2 Series with Positive Terms -- 2.3 Series with Arbitrary Terms -- 2.4 Approximating the Sum of a Leibniz's Series -- 2.5 Absolutely and Conditionally Convergent Series -- 2.6 Operations on Convergent Series -- 2.7 Sequences and Series of Complex Numbers -- 3 Sequences of Functions (Functional Sequences) -- 3.1 Simple and Uniformly Convergence -- 3.2 The Properties of the Uniformly Convergent Functional Sequences -- 4 Series of Functions (Functional Series) -- 4.1 Simple and Uniform Convergence -- 4.2 Properties of the Uniformly Convergent Series of Functions -- 4.3 Power Series -- 4.4 Taylor's Formula -- 4.5 Taylor's and Maclaurin's Series -- 4.6 Elementary Functions. Euler's Formulas. Hyperbolic Trigonometric Functions -- 5 Functions of Several Variables -- 5.1 Vector Space mathbbRn. Basic Notions and Notations -- 5.2 Convergent Sequences of Vectors in mathbbRn -- 5.3 Topology Elements on mathbbRn -- 5.4 Limits of Functions of Several Variables -- 5.5 Continuous Functions of Several Variables -- 5.6 Properties of Continuous Functions Defined on Compact or Connected Sets -- 5.7 Linear Continuous Maps from mathbbRn to mathbbRm -- 6 Differential Calculus of Functions of Several Variables -- 6.1 Partial Derivatives. Differentiability of a Function of Several Variables -- 6.2 Differentiability of Vector Functions. Jacobian Matrix -- 6.3 Differentiability of Composite Functions -- 6.4 The First Order Differenential and Its Invariance Form -- 6.5 The Directional Derivative. The Differential Operators: Gradient, Divergence, Curl and Laplacian -- 6.6 Partial Derivatives and Differentials of Higher Orders. 327 $a6.7 Second-Order Partial Derivatives of Functions Composed of Two Variables -- 6.8 Change of Variables -- 6.9 Taylor's Formula for Functions of Several Variables -- 6.10 Local Extrema of a Function of Several Variables -- 6.11 Local Inversion Theorem -- 6.12 Regular Transformations -- 6.13 Implicit Functions -- 6.14 Local Conditional Extremum -- 6.15 Dependent and Independent Functions -- References -- Index. 606 $aDifferential calculus 606 $aMatemŕtica per a enginyers$2thub 606 $aCŕlcul diferencial$2thub 608 $aLlibres electrňnics$2thub 615 0$aDifferential calculus. 615 7$aMatemŕtica per a enginyers 615 7$aCŕlcul diferencial 676 $a620.00151 700 $aPa?ltineanu$b Gavril$01252227 702 $aBucur$b I$g(Iliana), 702 $aZamfir$b Mariana 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910585783203321 996 $aDifferential calculus for engineers$92999166 997 $aUNINA LEADER 05444nam 22006975 450 001 9910254308703321 005 20250311214011.0 010 $a9783319542058 010 $a3319542052 024 7 $a10.1007/978-3-319-54205-8 035 $a(CKB)3850000000027364 035 $a(DE-He213)978-3-319-54205-8 035 $a(MiAaPQ)EBC6315716 035 $a(MiAaPQ)EBC5596106 035 $a(Au-PeEL)EBL5596106 035 $a(OCoLC)985361538 035 $a(PPN)200512927 035 $a(EXLCZ)993850000000027364 100 $a20170425d2017 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 14$aThe Basics of Item Response Theory Using R /$fby Frank B. Baker, Seock-Ho Kim 205 $a1st ed. 2017. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2017. 215 $a1 online resource (XIV, 174 p. 35 illus., 1 illus. in color.) 225 1 $aStatistics for Social and Behavioral Sciences,$x2199-7365 311 08$a9783319542041 311 08$a3319542044 320 $aIncludes bibliographical references and index. 327 $aIntroduction -- Getting Started -- 1. The Item Characteristic Curve -- 2. Item Characteristic Curve Models -- 3. Estimating Item Parameters -- 4. The Test Characteristic Curve -- 5. Estimating an Examinee?s Ability -- 6. The Information Function -- 7. Test Calibration -- 8. Specifying the Characteristics of a Test -- Appendix A: R Introduction -- Appendix B: Estimating Item Parameters under the Two-Parameter Model with Logistic Regression -- Appendix C: Putting the Three Tests on a Common Ability Scale: Test Equating -- References -- Index. 330 $aThis graduate-level textbook is a tutorial for item response theory that covers both the basics of item response theory and the use of R for preparing graphical presentation in writings about the theory. Item response theory has become one of the most powerful tools used in test construction, yet one of the barriers to learning and applying it is the considerable amount of sophisticated computational effort required to illustrate even the simplest concepts. This text provides the reader access to the basic concepts of item response theory freed of the tedious underlying calculations. It is intended for those who possess limited knowledge of educational measurement and psychometrics. Rather than presenting the full scope of item response theory, this textbook is concise and practical and presents basic concepts without becoming enmeshed in underlying mathematical and computational complexities. Clearly written text and succinct R code allow anyone familiar with statistical concepts to explore and apply item response theory in a practical way. In addition to students of educational measurement, this text will be valuable to measurement specialists working in testing programs at any level and who need an understanding of item response theory in order to evaluate its potential in their settings. Combines clearly written text and succinct R code Utilizes a building-block approach from simple to complex, enabling readers to develop a clinical feel for item response theory and how its concepts are interrelated Includes downloadable R functions that implement various facets of item response theory Frank B. Baker, Ph.D., is Professor Emeritus of the Department of Educational Psychology at the University of Wisconsin-Madison. He is author of numerous publications dealing with item response theory and statistical methodology. He received his B.S., M.S.,and Ph.D. degrees from the University of Minnesota, Minneapolis. Seock-Ho Kim, Ph.D., is Professor in the Department of Educational Psychology at the University of Georgia. He is author of numerous publications in psychometrics and applied statistics and is a member of the American Educational Research Association, the American Statistical Association, the National Council on Measurement in Education, and the Psychometric Society, among other organizations. He received his B.A. from Korea University and his M.S. and Ph.D. degrees from the University of Wisconsin-Madison. 410 0$aStatistics for Social and Behavioral Sciences,$x2199-7365 606 $aSocial sciences$xStatistical methods 606 $aEducational tests and measurements 606 $aPsychometrics 606 $aStatistics 606 $aStatistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy 606 $aAssessment and Testing 606 $aPsychometrics 606 $aStatistical Theory and Methods 615 0$aSocial sciences$xStatistical methods. 615 0$aEducational tests and measurements. 615 0$aPsychometrics. 615 0$aStatistics. 615 14$aStatistics in Social Sciences, Humanities, Law, Education, Behavorial Sciences, Public Policy. 615 24$aAssessment and Testing. 615 24$aPsychometrics. 615 24$aStatistical Theory and Methods. 676 $a150.287 700 $aBaker$b Frank B$4aut$4http://id.loc.gov/vocabulary/relators/aut$0287125 702 $aKim$b Seock-Ho$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254308703321 996 $aThe Basics of Item Response Theory Using R$92174095 997 $aUNINA