Mathematics and Society [electronic resource] / Wolfgang König - Zuerich, Switzerland : European Mathematical Society Publishing House, 2016 - 1 online resource (314 pages)

The truth, the whole truth and nothing but the truth: The challenges of reporting on mathematics / Experimental mathematics in the society of the future / What is the impact of interactive mathematical experiments? / Mathematics and finance / Statistics in high dimensions / Filtering theory: Mathematics in engineering, from Gauss to particle filters / Mathematical models for population dynamics: Randomness versus determinism / The quest for laws and structure / Geometry and freeform architecture / Some geometries to describe nature / Mathematics in industry / Mathematics of signal design for communication systems / Cryptology: Methods, applications and challenges / A mathematical view on voting and power / Numerical methods and scientific computing for climate and geosciences / George G. Szpiro -- David H. Bailey, Jonathan M. Borwein -- Albrecht Beutelspacher -- Walter Schachermayer -- Aad van der Vaart, Wessel van Wieringen -- Ofer Zeitouni -- Jean Bertoin -- Jürg M. Fröhlich -- Helmut Pottmann, Johannes Wallner -- Christiane Rousseau -- Helmut Neunzert -- Holger Boche, Ezra Tampubolon -- Claus Diem -- Werner Kirsch -- Jörn Behrens.

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The ubiquity and importance of mathematics in our complex society is generally not in doubt. However, even a scientifically interested layman would be hard pressed to point out aspects of our society where contemporary mathematical research is essential. Most popular examples are finance, engineering, wheather and industry, but the way mathematics comes into play is widely unknown in the public. And who thinks of application fields like biology, encryption, architecture, or voting systems? This volume comprises a number of success stories of mathematics in our society – important areas being shaped by cutting edge mathematical research. The authors are eminent mathematicians with a high sense for public presentation, addressing scientifically interested laymen as well as professionals in mathematics and its application disciplines.

9783037196649

10.4171/164 doi


Mathematics
General
The Institute of Mathematical Sciences, Chennai, India

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