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Author Oberguggenberger, Michael, 1953- author

Title Analysis for computer scientists : foundations, methods, and algorithms / Michael Oberguggenberger, Alexander Ostermann ; translated in collaboration with Elisabeth Bradley
Edition Second edition
Published Cham, Switzerland : Springer, 2018
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Description 1 online resource
Series Undergraduate topics in computer science
Undergraduate topics in computer science.
Contents Numbers -- 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
Summary This 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
Notes Previous edition: 2011
Print version record
Subject Computer science -- Mathematics.
Form Electronic book
Author Bradley, Elisabeth, translator
Ostermann, Alexander, author
ISBN 3319911546
3319911554 (electronic bk.)
3319911562
9783319911540
9783319911557 (electronic bk.)
9783319911564 (print)