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Analysis for computer scientists: foundations, methods and algorithms

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Author(s): Oberguggenberger, Michael; Ostermann, Alexander
Series: Undergraduate topics in computer science
Edition: Second Edition
Publisher: Springer
Year: 2018

Language: English
Pages: 376
Tags: Analysis;Computer science.;Computer science -- Mathematics.;Mathematics -- Counting & Numeration.;Mathematics -- Applied.;Computers -- Data Processing.;Numerical analysis.;Maths for engineers.;Discrete mathematics.;Computer science_xMathematics.;Engineering mathematics.;Computational complexity.;Maths for computer scientists.

Content: NumbersReal-Valued FunctionsTrigonometryComplex NumbersSequences and SeriesLimits and Continuity of FunctionsThe Derivative of a FunctionApplications of the DerivativeFractals and L-SystemsAntiderivativesDefinite IntegralsTaylor SeriesNumerical IntegrationCurvesScalar-Valued Functions of Two VariablesVector-Valued Functions of Two VariablesIntegration of Functions of Two VariablesLinear RegressionDifferential EquationsSystems of Differential EquationsNumerical Solution of Differential EquationsAppendix A: Vector AlgebraAppendix B: MatricesAppendix C: Further Results on ContinuityAppendix D: Description of the Supplementary Software