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Covers the most important classical and modern methods of mathematical modelling
Can be used as textbook or as complimentary material in mathematical modelling courses
Contains 31 project titles as well as 124 problems sets
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Table of contents (13 chapters)
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Front Matter
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Back Matter
About this book
This book provides a thorough introduction to the challenge of applying mathematics in real-world scenarios. Modelling tasks rarely involve well-defined categories, and they often require multidisciplinary input from mathematics, physics, computer sciences, or engineering. In keeping with this spirit of modelling, the book includes a wealth of cross-references between the chapters and frequently points to the real-world context.
The book combines classical approaches to modelling with novel areas such as soft computing methods, inverse problems, and model uncertainty. Attention is also paid to the interaction between models, data and the use of mathematical software. The reader will find a broad selection of theoretical tools for practicing industrial mathematics, including the analysis of continuum models, probabilistic and discrete phenomena, and asymptotic and sensitivity analysis.
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Authors, Editors and Affiliations
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Tampere University of Technology Department of Mathematics, Tampere, Finland
Seppo Pohjolainen
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School on Engineering Science, Lappeenranta University of Technology, Lappeenranta, Finland
Matti Heiliö
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Department of Applied Physics, University of Eastern Finland, Kuopio, Finland
Timo Lähivaara, Tanja Tarvainen, Marko Vauhkonen
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Department of Mathematical Sciences, University of Oulu, Oulu, Finland
Erkki Laitinen
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Department of Computer Science, University of Vaasa, Vaasa, Finland
Timo Mantere
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School of Information Sciences, University of Tampere, Tampere, Finland
Jorma Merikoski
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Department of Mathematics, Tampere University of Technology, Tampere, Finland
Seppo Pohjolainen, Risto Silvennoinen, Antti Suutala, Esko Turunen
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Huawei Technologies, Helsinki, Finland
Kimmo Raivio
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Mathematical Information Technology, University of Jyväskylä, Jyväskylä, Finland
Timo Tiihonen
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Department of Physics and Mathematics, University of Eastern Finland, Joensuu, Finland
Jukka Tuomela
About the editor
Seppo Pohjolainen received his PhD degree in applied mathematics in 1980 from Tampere University of Technology (TUT). In 1998 he was appointed as a professor in mathematics at TUT.
His research interests include mathematical control theory, distributed parameter systems, mathematical modelling and simulation, development and use of information technology to support learning. Currently he is leading a nationwide network in Finland on teaching mathematical modelling on the Internet. He has led several national and international research projects and written a number of journal articles and conference papers on all these fields.
Bibliographic Information
Book Title: Mathematical Modelling
Authors: Matti Heiliö, Timo Lähivaara, Erkki Laitinen, Timo Mantere, Jorma Merikoski, Seppo Pohjolainen, Kimmo Raivio, Risto Silvennoinen, Antti Suutala, Tanja Tarvainen, Timo Tiihonen, Jukka Tuomela, Esko Turunen, … Marko Vauhkonen
Editors: Seppo Pohjolainen
DOI: https://doi.org/10.1007/978-3-319-27836-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-27834-6Published: 26 July 2016
Softcover ISBN: 978-3-319-80226-8Published: 31 May 2018
eBook ISBN: 978-3-319-27836-0Published: 14 July 2016
Edition Number: 1
Number of Pages: XI, 242
Number of Illustrations: 43 b/w illustrations, 13 illustrations in colour
Topics: Mathematical Modeling and Industrial Mathematics, Mathematical and Computational Engineering, Computational Science and Engineering, Simulation and Modeling