LEADER 05173nam 22006735 450 001 9910299360203321 005 20251116203801.0 010 $a3-319-91155-4 024 7 $a10.1007/978-3-319-91155-7 035 $a(CKB)4100000007110550 035 $a(DE-He213)978-3-319-91155-7 035 $a(MiAaPQ)EBC6312657 035 $z(PPN)258856157 035 $a(PPN)23146181X 035 $a(EXLCZ)994100000007110550 100 $a20181024d2018 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAnalysis for Computer Scientists $eFoundations, Methods, and Algorithms /$fby Michael Oberguggenberger, Alexander Ostermann 205 $a2nd ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (XII, 378 p. 231 illus.) 225 1 $aUndergraduate Topics in Computer Science,$x2197-1781 311 08$a3-319-91154-6 320 $aIncludes bibliographical references and index. 327 $aNumbers -- Real-Valued Functions -- Trigonometry -- Complex Numbers -- Sequences and Series -- Limits and Continuity of Functions -- The Derivative of a Function -- Applications of the Derivative -- Fractals and L-Systems -- Antiderivatives -- Definite Integrals -- Taylor Series -- Numerical Integration -- Curves -- Scalar-Valued Functions of Two Variables -- Vector-Valued Functions of Two Variables -- Integration of Functions of Two Variables -- Linear Regression -- Differential Equations -- Systems of Differential Equations -- Numerical Solution of Differential Equations -- Appendix A: Vector Algebra -- Appendix B: Matrices -- Appendix C: Further Results on Continuity -- Appendix D: Description of the Supplementary Software. 330 $aThis easy-to-follow textbook/reference presents a concise introduction to mathematical analysis from an algorithmic point of view, with a particular focus on applications of analysis and aspects of mathematical modelling. The text describes the mathematical theory alongside the basic concepts and methods of numerical analysis, enriched by computer experiments using MATLAB, Python, Maple, and Java applets. This fully updated and expanded new edition also features an even greater number of programming exercises. Topics and features: Describes the fundamental concepts in analysis, covering real and complex numbers, trigonometry, sequences and series, functions, derivatives, integrals, and curves Discusses important applications and advanced topics, such as fractals and L-systems, numerical integration, linear regression, and differential equations Presents tools from vector and matrix algebra in the appendices, together with further information on continuity Includes added material on hyperbolic functions, curves and surfaces in space, second-order differential equations, and the pendulum equation (NEW) Contains experiments, exercises, definitions, and propositions throughout the text Supplies programming examples in Python, in addition to MATLAB (NEW) Provides supplementary resources at an associated website, including Java applets, code source files, and links to interactive online learning material Addressing the core needs of computer science students and researchers, this clearly written textbook is an essential resource for undergraduate-level courses on numerical analysis, and an ideal self-study tool for professionals seeking to enhance their analysis skills. Dr. Michael Oberguggenberger is a professor in the Unit of Engineering Mathematics at the University of Innsbruck, Austria. Dr. Alexander Ostermann is a professor in the Department of Mathematics at the University of Innsbruck, Austria. 410 0$aUndergraduate Topics in Computer Science,$x2197-1781 606 $aComputer science$xMathematics 606 $aMathematics$xData processing 606 $aEngineering mathematics 606 $aEngineering$xData processing 606 $aDiscrete mathematics 606 $aMathematical Applications in Computer Science 606 $aComputational Mathematics and Numerical Analysis 606 $aMathematical and Computational Engineering Applications 606 $aDiscrete Mathematics in Computer Science 615 0$aComputer science$xMathematics. 615 0$aMathematics$xData processing. 615 0$aEngineering mathematics. 615 0$aEngineering$xData processing. 615 0$aDiscrete mathematics. 615 14$aMathematical Applications in Computer Science. 615 24$aComputational Mathematics and Numerical Analysis. 615 24$aMathematical and Computational Engineering Applications. 615 24$aDiscrete Mathematics in Computer Science. 676 $a004.0151 700 $aOberguggenberger$b Michael$4aut$4http://id.loc.gov/vocabulary/relators/aut$060302 702 $aOstermann$b Alexander$4aut$4http://id.loc.gov/vocabulary/relators/aut 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299360203321 996 $aAnalysis for Computer Scientists$92278627 997 $aUNINA