LEADER 03638nam 22006495 450 001 9910299766903321 005 20260810141547.0 010 $a3-319-16739-1 024 7 $a10.1007/978-3-319-16739-8 035 $a(CKB)3710000000404043 035 $a(SSID)ssj0001501637 035 $a(PQKBManifestationID)11848447 035 $a(PQKBTitleCode)TC0001501637 035 $a(PQKBWorkID)11446285 035 $a(PQKB)11460762 035 $a(DE-He213)978-3-319-16739-8 035 $a(MiAaPQ)EBC6312521 035 $a(MiAaPQ)EBC5592617 035 $a(Au-PeEL)EBL5592617 035 $a(OCoLC)907534753 035 $a(PPN)185490840 035 $a(EXLCZ)993710000000404043 100 $a20150411d2015 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aNumerical Analysis Using Sage /$fby George A. Anastassiou, Razvan A. Mezei 205 $a1st ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XII, 314 p. 104 illus., 102 illus. in color.) 225 1 $aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5514 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-319-16738-3 320 $aIncludes bibliographical references and index. 327 $aPreface -- 1. Fundamentals -- 2. Solving Nonlinear Equations -- 3. Polynomial Interpolation -- 4.Numerical Differentiation -- 5. Numerical Integration -- 6. Spline Interpolation -- 7. Numerical Methods for Differential Equations -- References -- Index. 330 $aThis is the first numerical analysis text to use Sage for the implementation of algorithms and can be used in a one-semester course for undergraduates in mathematics, math education, computer science/information technology, engineering, and physical sciences. The primary aim of this text is to simplify understanding of the theories and ideas from a numerical analysis/numerical methods course via a modern programming language like Sage. Aside from the presentation of fundamental theoretical notions of numerical analysis throughout the text, each chapter concludes with several exercises that are oriented to real-world application.  Answers may be verified using Sage.  The presented code, written in core components of Sage, are backward compatible, i.e., easily applicable to other software systems such as MathematicaŽ.  Sage is  open source software and uses Python-like syntax. Previous Python programming experience is not a requirement for the reader, though familiaritywith any programming language is a plus.  Moreover, the code can be written using any web browser and is therefore useful with Laptops, Tablets, iPhones, Smartphones, etc.  All Sage code that is presented in the text is openly available on SpringerLink.com. 410 0$aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5514 606 $aNumerical analysis 606 $aComputer software 606 $aNumerical Analysis 606 $aMathematical Software 615 0$aNumerical analysis. 615 0$aComputer software. 615 14$aNumerical Analysis. 615 24$aMathematical Software. 676 $a519.4 700 $aAnastassiou$b George A$4aut$4http://id.loc.gov/vocabulary/relators/aut$060024 702 $aMezei$b Razvan A$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299766903321 996 $aNumerical Analysis Using Sage$92528330 997 $aUNINA