Overview
- Serves as the foundation for creating future technologies based on mathematical and numerical modeling
- Analyzes big data by applying, for the first time, differential topology and classification theory of singularities
- Is written by leading international researchers in the field
- Includes supplementary material: sn.pub/extras
Part of the book series: Mathematics for Industry (MFI, volume 5)
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Table of contents (36 chapters)
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Front Matter
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Algebra
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Front Matter
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Analysis
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Front Matter
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Probability and Statistics
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Front Matter
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Keywords
About this book
This book deals with one of the most novel advances in mathematical modeling for applied scientific technology, including computer graphics, public-key encryption, data visualization, statistical data analysis, symbolic calculation, encryption, error correcting codes, and risk management. It also shows that mathematics can be used to solve problems from nature, e.g., slime mold algorithms.
One of the unique features of this book is that it shows readers how to use pure and applied mathematics, especially those mathematical theory/techniques developed in the twentieth century, and developing now, to solve applied problems in several fields of industry. Each chapter includes clues on how to use "mathematics" to solve concrete problems faced in industry as well as practical applications.
The target audience is not limited to researchers working in applied mathematics and includes those in engineering, material sciences, economics, and life sciences.
Editors and Affiliations
Bibliographic Information
Book Title: A Mathematical Approach to Research Problems of Science and Technology
Book Subtitle: Theoretical Basis and Developments in Mathematical Modeling
Editors: Ryuei Nishii, Shin-ichiro Ei, Miyuki Koiso, Hiroyuki Ochiai, Kanzo Okada, Shingo Saito, Tomoyuki Shirai
Series Title: Mathematics for Industry
DOI: https://doi.org/10.1007/978-4-431-55060-0
Publisher: Springer Tokyo
eBook Packages: Engineering, Engineering (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Japan KK 2014
Hardcover ISBN: 978-4-431-55059-4Published: 25 July 2014
Softcover ISBN: 978-4-431-56393-8Published: 23 August 2016
eBook ISBN: 978-4-431-55060-0Published: 14 July 2014
Series ISSN: 2198-350X
Series E-ISSN: 2198-3518
Edition Number: 1
Number of Pages: XII, 507
Number of Illustrations: 81 b/w illustrations, 68 illustrations in colour
Topics: Mathematical and Computational Engineering, Mathematical Modeling and Industrial Mathematics, Systems and Data Security