03638nam 22006495 450 991029976690332120260810141547.03-319-16739-110.1007/978-3-319-16739-8(CKB)3710000000404043(SSID)ssj0001501637(PQKBManifestationID)11848447(PQKBTitleCode)TC0001501637(PQKBWorkID)11446285(PQKB)11460762(DE-He213)978-3-319-16739-8(MiAaPQ)EBC6312521(MiAaPQ)EBC5592617(Au-PeEL)EBL5592617(OCoLC)907534753(PPN)185490840(EXLCZ)99371000000040404320150411d2015 u| 0engurnn|008mamaatxtccrNumerical Analysis Using Sage /by George A. Anastassiou, Razvan A. Mezei1st ed. 2015.Cham :Springer International Publishing :Imprint: Springer,2015.1 online resource (XII, 314 p. 104 illus., 102 illus. in color.) Springer Undergraduate Texts in Mathematics and Technology,1867-5514Bibliographic Level Mode of Issuance: Monograph3-319-16738-3 Includes bibliographical references and index.Preface -- 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.This 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 Mathematica®.  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.Springer Undergraduate Texts in Mathematics and Technology,1867-5514Numerical analysisComputer softwareNumerical AnalysisMathematical SoftwareNumerical analysis.Computer software.Numerical Analysis.Mathematical Software.519.4Anastassiou George Aauthttp://id.loc.gov/vocabulary/relators/aut60024Mezei Razvan Aauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910299766903321Numerical Analysis Using Sage2528330UNINA