Overview
- Presents an algorithmic approach to mathematical analysis, with a focus on modelling and on the applications of analysis
- Makes thorough use of examples and explanations using MATLAB, Maple, and Java applets
- Describes mathematical theory alongside the basic concepts and methods of numerical analysis, supported by computer experiments and programming exercises
- Includes supplementary material: sn.pub/extras
Part of the book series: Undergraduate Topics in Computer Science (UTICS)
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Table of contents (25 chapters)
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Front Matter
Keywords
About this book
Features: thoroughly describes the essential concepts of analysis; provides summaries and exercises in each chapter, as well as computer experiments; discusses important applications and advanced topics; presents tools from vector and matrix algebra in the appendices, together with further information on continuity; includes definitions, propositions and examples throughout the text; supplementary software can be downloaded from the book’s webpage.
Reviews
From the reviews:
“This undergraduate work, translated from German, is designed around the concept that mathematical modeling and the underlying mathematics are central to computer science. … place a strong emphasis on algorithmic methods, and include a substantial number of examples of mathematical modeling. … Since the audience is computer science students, there are many examples and exercises … using the software packages MATLAB and Maple. … a useful acquisition for academic institutions where students have access to MATLAB and/or Maple. Summing Up: Recommended. Lower- and upper-division undergraduates.” (D. Z. Spicer, Choice, Vol. 49 (1), September, 2011)
“The book is a translation of the original German version from 2005 … . Each chapter is preceded by a brief introduction for orientation. The text is enriched by computer experiments which should encourage the reader to actively acquire the subject matter. Finally, every chapter has exercises, half of which are tobe solved with the help of computer programs. The book can be used from the first semester on as the main textbook for a course, as a complementary text, or for self-study.” (Petr Gurka, Zentralblatt MATH, Vol. 1238, 2012)
Authors and Affiliations
About the authors
Bibliographic Information
Book Title: Analysis for Computer Scientists
Book Subtitle: Foundations, Methods, and Algorithms
Authors: Michael Oberguggenberger, Alexander Ostermann
Series Title: Undergraduate Topics in Computer Science
DOI: https://doi.org/10.1007/978-0-85729-446-3
Publisher: Springer London
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer-Verlag London Ltd., part of Springer Nature 2011
eBook ISBN: 978-0-85729-446-3Published: 19 March 2011
Series ISSN: 1863-7310
Series E-ISSN: 2197-1781
Edition Number: 1
Number of Pages: X, 342
Topics: Math Applications in Computer Science, Computational Mathematics and Numerical Analysis, Mathematical and Computational Engineering, Discrete Mathematics in Computer Science