Activities of the Lithuanian Mathematical Society in 2018–2021

The article gives a survey of mathematical life and activities of the Lithuanian Mathematical Society during the past four years.

Is Longevity Acceleration Sustainable? An Entropy-Based Trial of the Population of Spain vs. Japan

Longevity risk is a major concern for governments around the world as they have to address social benefits, whether in the form of pensions, healthcare, or caring for dependents and providing long-term care, and so forth, which directly impact countries’ budgets. This paper uses a single entropy index to measure this type of risk. This methodology is clearly different from the one traditionally used in the literature, which is nearly entirely based on measuring the evolution of mathematical life expectancy. The authors used the longest-living populations in the world, Japan and Spain, to create a database in order to analyse the virtue of the indicator. The aim was to establish whether the longevity of those populations is accelerating or decelerating, compared by sex, and whether that occurs at the same intensity at different stages of a person’s life in each case. If the indicator showed differences in intensity, it would be a benchmark for the insurance and financial industry, providing it with information to market different products.

Ramanujan's Beautiful Integrals

International audience Throughout his entire mathematical life, Ramanujan loved to evaluate definite integrals. One can find them in his problems submitted to the Journal of the Indian Mathematical Society, notebooks, Quarterly Reports to the University of Madras, letters to Hardy, published papers and the Lost Notebook. His evaluations are often surprising, beautiful, elegant, and useful in other mathematical contexts. He also discovered general methods for evaluating and approximating integrals. A survey of Ramanujan's contributions to the evaluation of integrals is given, with examples provided from each of the above-mentioned sources.

Bringing Mathematical Life to Favorite Books

Reading mathematics picture books to children increases interest in mathematics, strengthens vocabulary, and can improve achievement.

Frank Featherstone Bonsall. 31 March 1920—22 February 2011

Frank Bonsall played a significant role in the mathematical life of the United Kingdom in the decades following the Second World War. He had a particular impact in Scotland and the north of England, especially in research and graduate education. His research interests focused primarily on functional analysis, the area of mathematics that brings together various strands of analysis under a single abstract framework, and on the related theory of linear operators on Banach spaces. He influenced a generation of young mathematicians with the elegance of his written and oral expositions, both of his own research and that of others. The quality of his caring and thorough research supervision was reflected in his many PhD students who would continue in research and go on to successful academic careers in their own right, both in the United Kingdom and beyond.

A mathematical life

This chapter sets the scene for the rest of the book by outlining the main aspects of Dodgson’s mathematical life and activities. It is divided into his early years as the son of an Anglican clergyman, his time as an undergraduate studying Classics and mathematics at Oxford, his life as an Oxford lecturer at Christ Church, his life outside mathematics (including his interest in photography and his writing of children’s books), his mathematical writings and college life, and his final years. It concludes with a brief discussion of Dodgson as a mathematician in the context of Victorian mathematics in England at the time.