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001 978-3-319-91155-7
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020 _a9783319911557
_9978-3-319-91155-7
024 7 _a10.1007/978-3-319-91155-7
_2doi
040 _cCUS
050 4 _aQA76.9.M35
072 7 _aUYAM
_2bicssc
072 7 _aCOM018000
_2bisacsh
072 7 _aUYAM
_2thema
072 7 _aUFM
_2thema
082 0 4 _a004.0151
_223
100 1 _aOberguggenberger, Michael.
_eauthor.
_0(orcid)0000-0002-7340-8651
_1https://orcid.org/0000-0002-7340-8651
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aAnalysis for Computer Scientists
_h[electronic resource] :
_bFoundations, Methods, and Algorithms /
_cby Michael Oberguggenberger, Alexander Ostermann.
250 _a2nd ed. 2018.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2018.
300 _aXII, 378 p. 231 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aUndergraduate Topics in Computer Science,
_x1863-7310
505 0 _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.
520 _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.
650 0 _aComputer science—Mathematics.
650 0 _aComputer mathematics.
650 0 _aApplied mathematics.
650 0 _aEngineering mathematics.
650 1 4 _aMath Applications in Computer Science.
_0https://scigraph.springernature.com/ontologies/product-market-codes/I17044
650 2 4 _aComputational Mathematics and Numerical Analysis.
_0https://scigraph.springernature.com/ontologies/product-market-codes/M1400X
650 2 4 _aMathematical and Computational Engineering.
_0https://scigraph.springernature.com/ontologies/product-market-codes/T11006
650 2 4 _aDiscrete Mathematics in Computer Science.
_0https://scigraph.springernature.com/ontologies/product-market-codes/I17028
700 1 _aOstermann, Alexander.
_1https://orcid.org/0000-0003-0194-2481
830 0 _aUndergraduate Topics in Computer Science,
_x1863-7310
856 4 0 _uhttps://doi.org/10.1007/978-3-319-91155-7
912 _aZDB-2-SCS
912 _aZDB-2-SXCS
942 _cEBK
999 _c203873
_d203873