Articles written in Resonance – Journal of Science Education
Volume 22 Issue 10 October 2017 pp 935-941 General Article
Volume 24 Issue 5 May 2019 pp 535-546 General Article
The Belgian mathematician Jean Bourgain was born in Ostendein 1954. After a whirlwind career during which hesolved many deep problems and transformed several areas ofmathematics, he passed away in Bonheiden on 22nd December2018 (the birth anniversary of Ramanujan). Bourgainwas the modern-day equivalent of Leonhard Euler, makingprolific contributions to a wide variety of problems in mathematicsand physics. The Mathematical Reviews cite 511 publicationsunder his name. Such a wide spectrum of work cannotbe described in one article with any justice even if theauthors were to possess expertise in a number of these areas.The breadth and depth of Bourgain’s work can be fathomedfrom the following phrase used in a review by a renownedmathematician Ben Joseph Green; he said, “It is beyond thecapability of the reviewer to give anything like a meaningfuldescription of the argument here, save to repeat the authors’comments....” The review was of a paper that completelysolved Vinogradov’s mean value conjecture in analyticnumber theory. We choose a small assortment of the topics towhich he contributed so deeply and, describe some technicaldetails in rough terms. In the end, we make a brief mention ofhis results in a wide variety of areas (see [3–5], [7–14] for technicaldetails). The topics we dwell on in this write-up includethe so-called Kakeya problem and some striking applicationsto number theory.
Volume 25 Issue 6 June 2020 pp 749-749 Article-in-a-Box
Volume 25 | Issue 9