Analysis for Computer Scientists

Analysis for Computer Scientists

Foundations, Methods, and Algorithms

Oberguggenberger, Michael; Ostermann, Alexander

Springer International Publishing AG

11/2018

378

Mole

Inglês

9783319911540

15 a 20 dias

This textbook presents an algorithmic approach to mathematical analysis, with a focus on modelling and on the applications of analysis. It makes thorough use of examples and explanations using MATLAB, Maple and Java applets.
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
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