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This book is a collection of papers presented at the Forum “The Impact of Applications on Mathematics” in October 2013. It describes an appropriate framework in which to highlight how real-world problems, over the centuries and today, have influenced and are influencing the development of mathematics and thereby, how mathematics is reshaped, in order to advance mathematics and its application. The contents of this book address productive and successful interaction between industry and mathematicians, as well as the cross-fertilization and collaboration that result when mathematics is involved with the advancement of science and technology.
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Mathematics for Industry 1 Masato Wakayama · Robert S. Anderssen Jin Cheng · Yasuhide Fukumoto Robert McKibbin · Konrad Polthier Tsuyoshi Takagi · Kim-Chuan Toh Editors The Impact of Applications on Mathematics Proceedings of the Forum of Mathematics for Industry 2013 Mathematics for Industry Volume 1 For further volumes: http://www.springer.com/series/13254 Editor-in-Chief Masato Wakayama (Kyushu University, Japan) Scientific Board Members Robert S. Anderssen (Commonwealth Scientific and Industrial Research Organisation, Australia) Heinz H. Bauschke (Kelowna, Canada) Philip Broadbridge (La Trobe University, Australia) Jin Cheng (Fudan University, China) Monique Chyba (University of Hawai‘i at Ma¯noa, USA) Georges-Henri Cottet (Joseph Fourier University, France) José Alberto Cuminato (University of São Paulo, Brazil) Shin-Ichiro Ei (Hokkaido University, Japan) Yasuhide Fukumoto (Kyushu University, Japan) Jonathan R. M. Hosking (IBM T. J. Watson Research Center, USA) Alejandro Jofré (University of Chile, Chile) Kerry Landman (The University of Melbourne, Australia) Robert Mckibbin (Massey University, New Zealand) Geoff Mercer (Australian National University, Australia) (Deceased, 2014) Andrea Parmeggiani (Montpellier, France) Jill Pipher (Brown University, USA) Konrad Polthier (Free University of Berlin, Germany) W. H. A. Schilders (Eindhoven University of Technology, The Netherlands) Zuowei Shen (National University of Singapore, Singapore) Kim-Chuan Toh (National University of Singapore, Singapore) Evgeny Verbitskiy (Leiden University, Leiden, The Netherlands) Nakahiro Yoshida (The University of Tokyo, Japan) Aims & Scope The meaning of ‘‘Mathematics for Industry’’ (sometimes abbreviated as MI or MfI) is different from that of ‘‘Mathematics in Industry’’ (or of ‘‘Industrial Mathematics’’). The latter is restrictive: it tends to be identified with the actual mathematics that specifically arises in the daily management and operation of manufacturing. The former, however, denotes a new research field in mathematics that may serve as a foundation for creating future technologies. This concept was born from the integration and reorganization of pure and applied mathematics in the present day into a fluid and versatile form capable of stimulating awareness of the importance of mathematics in industry, as well as responding to the needs of industrial technologies. The history of this integration and reorganization indicates that this basic idea will someday find increasing utility. Mathematics can be a key technology in modern society. The series aims to promote this trend by (1) providing comprehensive content on applications of mathematics, especially to industry technologies via various types of scientific research, (2) introducing basic, useful, necessary and crucial knowledge for several applications through concrete subjects, and (3) introducing new research results and developments for applications of mathematics in the real world. These points may provide the basis for opening a new mathematics-oriented technological world and even new research fields of mathematics. Masato Wakayama Ro