Analysis for Computer Scientists

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.

• 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.

“Britain and the Arctic is an exemplar of quality research about the globalisation of the Arctic. With its practical outlook, Depledge has made many positive contribution to academic research in the field of polar studies and Britain and the Arctic offers the most recent example of such contributions. Its concise format and affordable price tag make it a must-read for everyone interested in Arctic affairs, from decision-makers and politicians to senior academics and undergraduate students.” (Nordicum-Mediterraneum, Vol. 14 (1), 2019)​