Springer International Publishing Switzerland, 2016. — 722 p. — ISBN 978-3-319-42755-3.This book aims to provide a comprehensive introduction to the field of (classical) mathematical analysis and mathematics of computation. While many students may have a perception of what mathematical analysis might be, which is often formed in school and college, there is, in our experience, a rather large surprise when studying mathematical analysis at the university level.Concerning mathematics of computation the situation may be even worse. This field is rich and has seen an enormous development during recent decades. It comprises numerical analysis, computational discrete mathematics, including algebra and combinatorics, number theory, and stochastic numerical methods as well as certain aspects related to mathematical optimization. In addition there are many interdisciplinary applications of all these research subjects, e.g., support vector machines, kernel-based learning methods, pattern recognition, statistical learning theory, computer graphics, approximation theory, and many more.
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