Freedom in mathematics /

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Bibliographic Details
Uniform title:Mathématiques en liberté. English.
Imprint:New Delhi : Springer, 2016.
Description:1 online resource (xvi, 117 pages)
Engineering mathematics.
MATHEMATICS -- Pre-Calculus.
MATHEMATICS -- Reference.
Engineering mathematics.
Electronic books.
Electronic books.
Format: E-Resource Book
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Hidden Bibliographic Details
Other authors / contributors:Cartier, P. (Pierre), author.
Dhombres, Jean G., author.
Heinzmann, Gerhard, author.
Villani, Cédric, 1973- author.
Digital file characteristics:text file PDF
Summary:This book challenges the views put forward by Pierre Cartier, one of the anchors of the famous Bourbaki group, and Cédric Villani, one of the most brilliant mathematicians of his generation, who received the Fields Medal in 2010. Jean Dhombres, mathematician and science historian, and Gerhard Heinzmann, philosopher of science and also a specialist in mathematics engage in a fruitful dialogue with the two mathematicians, prompting readers to reflect on mathematical activity and its social consequences in history as well as in the modern world. Cédric Villani's popular success proves once again that a common awareness has developed, albeit in a very confused way, of the major role of mathematics in the construction and efficiency of natural sciences, which are at the origin of our technologies. Despite this, the idea that mathematics cannot be shared remains firmly entrenched, a perceived failing that has even been branded a lack of culture by vocal forces in the media as well as cultural and political establishment. The authors explore three major directions in their dialogue: the highly complex relationship between mathematics and reality, the subject of many debates and opposing viewpoints; the freedom that the construction of mathematics has given humankind by enabling them to develop the natural sciences as well as mathematical research; and the responsibility with which the scientific community and governments should address the role of mathematics in research and education policies.
Other form:Printed edition: 9788132227861
Standard no.:10.1007/978-81-322-2788-5
Review by Choice Review

Sciences, such as astronomy and experimental particle physics, require colossally expensive equipment and huge scientific collaborations, so breakthroughs obviously hinge not only on scientific but also on administrative genius (the two are not entirely separable). Albeit mathematicians still publish in small collaborations or solely and often carry out their work with nothing more than pencil and paper, policy and administration still profoundly steer their field. As only a small number of people worldwide have broad oversight and responsibility, little gets published about this. These leaders must access trends, priorities, opportunities, and even risks, and then apply resources accordingly to create intellectual communities, encourage collaborations, and affect new modalities of communication both within the world of mathematicians and also beyond to other scientific disciplines, industries, governments, institutions of education, and the public. The conversations here between four leading French intellectuals (two top research mathematicians of different generations, one historian, and one philosopher--but all mathematically inclined) offer rare insiders' views into the wide range of issues that inform top-down shaping of the mathematical enterprise writ large. One will find history as fresh as gossip, and students will discover perspectives that might prove crucial for timely career planning. Summing Up: Recommended. All readers. --David V. Feldman, University of New Hampshire

Copyright American Library Association, used with permission.
Review by Choice Review