A Mathematical Approach to Research Problems of Science and Technology
Theoretical Basis and Developments in Mathematical Modeling
Editors: Nishii, R., Ei, S.-i., Koiso, M., Ochiai, H., Okada, K., Saito, S., Shirai, T. (Eds.)
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- 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
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- About this book
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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.
- Table of contents (36 chapters)
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Mathematics: As an Infrastructure of Technology and Science
Pages 3-15
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Remarks on Quantum Interaction Models by Lie Theory and Modular Forms via Non-commutative Harmonic Oscillators
Pages 17-34
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Introduction to Public-Key Cryptography
Pages 35-45
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Code-Based Public-Key Encryption
Pages 47-55
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Gröbner Basis and Its Applications
Pages 57-67
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Table of contents (36 chapters)
- Download Preface 1 PDF (42.1 KB)
- Download Preface 2 PDF (50.9 KB)
- Download Sample pages 2 PDF (422.7 KB)
- Download Table of contents PDF (64.2 KB)
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Bibliographic Information
- Bibliographic Information
-
- Book Title
- A Mathematical Approach to Research Problems of Science and Technology
- Book Subtitle
- Theoretical Basis and Developments in Mathematical Modeling
- Editors
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- Ryuei Nishii
- Shin-ichiro Ei
- Miyuki Koiso
- Hiroyuki Ochiai
- Kanzoh Okada
- Shingo Saito
- Tomoyuki Shirai
- Series Title
- Mathematics for Industry
- Series Volume
- 5
- Copyright
- 2014
- Publisher
- Springer Japan
- Copyright Holder
- Springer Japan
- eBook ISBN
- 978-4-431-55060-0
- DOI
- 10.1007/978-4-431-55060-0
- Hardcover ISBN
- 978-4-431-55059-4
- Softcover ISBN
- 978-4-431-56393-8
- Series ISSN
- 2198-350X
- Edition Number
- 1
- Number of Pages
- XII, 507
- Number of Illustrations
- 81 b/w illustrations, 68 illustrations in colour
- Topics