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A Mathematical Approach to Research Problems of Science and Technology

Theoretical Basis and Developments in Mathematical Modeling

  • Ryuei Nishii
  • Shin-ichiro Ei
  • Miyuki Koiso
  • Hiroyuki Ochiai
  • Kanzo Okada
  • Shingo Saito
  • Tomoyuki Shirai

Part of the Mathematics for Industry book series (MFI, volume 5)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Algebra

  3. Geometry

    1. Front Matter
      Pages 69-69
    2. Jun-ichi Inoguchi, Kenji Kajiwara, Nozomu Matsuura, Yasuhiro Ohta
      Pages 89-99
    3. Emerson G. Escolar, Yasuaki Hiraoka
      Pages 101-118
  4. Analysis

    1. Front Matter
      Pages 131-131
    2. Masato Kimura, Takeshi Takaishi
      Pages 161-170
    3. Michiaki Onodera
      Pages 171-186
  5. Probability and Statistics

    1. Front Matter
      Pages 187-187
    2. Hiroki Masuda
      Pages 219-238
    3. Yoshiyuki Ninomiya
      Pages 239-248
    4. Ryuei Nishii
      Pages 249-262
    5. Khanh Duy Trinh
      Pages 297-309
  6. Applied Mathematics

  7. Application of Mathematics

  8. Back Matter
    Pages 505-507

About this book

Introduction

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.

Keywords

Applications for Industry Big Data Visualization Mathematical Modelling Public-key Encryption Symbolic Calculation

Editors and affiliations

  • Ryuei Nishii
    • 1
  • Shin-ichiro Ei
    • 2
  • Miyuki Koiso
    • 3
  • Hiroyuki Ochiai
    • 4
  • Kanzo Okada
    • 5
  • Shingo Saito
    • 6
  • Tomoyuki Shirai
    • 7
  1. 1.Kyushu UniversityFukuokaJapan
  2. 2.Department of MathematicsHokkaido UniversitySapporoJapan
  3. 3.Kyushu University Institute of Mathematics for Industry FukuokaJapan
  4. 4.Kyushu University Institute of Mathematics for IndustryFukuokaJapan
  5. 5.Kyushu University Institute of Mathematics for IndustryFukuokaJapan
  6. 6.Faculty of Arts and ScienceKyushu University FukuokaJapan
  7. 7.Kyushu University Institute of Mathematics for Industry FukuokaJapan

Bibliographic information

  • DOI https://doi.org/10.1007/978-4-431-55060-0
  • Copyright Information Springer Japan 2014
  • Publisher Name Springer, Tokyo
  • eBook Packages Engineering
  • Print ISBN 978-4-431-55059-4
  • Online ISBN 978-4-431-55060-0
  • Series Print ISSN 2198-350X
  • Series Online ISSN 2198-3518
  • Buy this book on publisher's site