In 1931, Kosambi married Nalini, daughter of a very wealthy member of the Madgaonkar family. Early life of Damodar Dharmananda Kosambi After a few years of schooling in India, he and his elder sister, Manik Kosambi, travelled to Cambridge, Massachusetts with his father. He spent a year in the Grammar school and was admitted to the Cambridge High and Latin School in 1920. He became a member of Cambridge branch of American Boy Scouts. He enrolled in Harvard in 1924, but postponed his studies and returned to India. He returned to the US with his father in January 1926. He was awarded the Bachelor of Arts degree in 1929 by Harvard University. He was technical consultant to the Chinese government for some time. Career of Damodar Dharmananda Kosambi He became the professor of Banaras Hindu University (BHU), teaching German and mathematics. He published his first research paper, "Precessions of an Elliptic Orbit" in the Indian Journal of Physics in 1930. In 1931 that he was hired by mathematician Andr‚ Weil, then Professor of Mathematics at Aligarh Muslim University, to the post of lecturer in mathematics at Aligarh. He produced eight research papers in the general area of Differential Geometry and Path Spaces. As he was fluent in several European languages, some of his early papers in French, Italian and German journals in their respective languages were published. In 1933, he joined Fergusson College in Pune, where he taught mathematics for 12 years. He started his interdisciplinary pursuit. In 1944 he published a small article of 4 pages titled 'The Estimation of Map Distance from Recombination Values' in Annals of Eugenics, in which he introduced map function. His important contribution is the widely known technique called proper orthogonal decomposition. It is now referred to as the KarhunenLoeve expansion. This is applied in image processing, signal processing, data compression, oceanography, chemical engineering and fluid mechanics. He published his critical editions of Bhartrihari's Shatakatrayee and Subhashitas. He started his political activism by supporting the Communist Party of India. In 1945, he became the professor of Mathematics in Tata Institute of Fundamental Research. Post independence, in 194849 he was sent to England and the US as a UNESCO Fellow to study the theoretical and technical aspects of computer. After returning to India, he was drawn into the World Peace Movement and served as a Member of the World Peace Council. Due to some untoward circumstances he had to leave this institute. Thereafter he concentrated on his research in ancient Indian history and wrote a book 'The Culture and Civilisation of Ancient India', which was published in 1965. In June 1964, Kosambi was appointed as a Scientist Emeritus of the Council of Scientific and Industrial Research (CSIR). He died in Pune on June 29, 1966. He was posthumously given the Hari Om Ashram Award by the government of India's University Grant Commission in 1980. As a historian, he revolutionised Indian historiography with his Marxist approach. Works on history and society by Damodar Dharmananda Kosambi 1956  An Introduction to the Study of Indian History (Popular Book Depot, Bombay) 1957  Exasperating Essays: Exercise in the Dialectical Method 1962  Myth and Reality: Studies in the Formation of Indian Culture 1965  The Culture and Civilisation of Ancient India in Historical Outline 2002  Combined Methods in Indology and Other Writings 2009  The Oxford India Kosambi  Compiled, edited and introduced by Brajadulal Chattopadhyaya Edited works 1945  The Satakatrayam of Bhartrhari 1946  The Southern Archetype of Epigrams Ascribed to Bhartrhari 1948  The Epigrams Attributed to Bhartrhari 1952  The Cintamanisaranika of Dasabala 1957  The Subhasitaratnakosa of Vidyakara Some of the mathematical publications by D. D. Kosambi 1930  Precessions of an elliptical orbit 1931  On a generalization of the second theorem of Bourbaki 1932  Modern differential geometries 1932  On the existence of a metric and the inverse variation problem 1932  Geometric differentiale et calcul des variations 1932  On differential equations with the group property 1932  Affingeometrische grundlagen der einheitlichen feldtheorie 1933  The classification of integers 1933  The problem of differential invariants 1933  Parallelism and pathspaces, 1934  Collineations in pathspace 1934  Continuous groups and two theorems of Euler 1934  The maximum modulus theorem 1935  Systems of differential equations of the second order 1935  Homogeneous metrics 1935  An affine calculus of variations 1936  Differential geometry of the Laplace equation 1936  Pathspaces of higher order 1936  Pathgeometry and cosmogony 1938  Les metriques homogenes dans les espaces cosmogoniques 1938  Les espaces des paths generalises qu'on peut associer avec un espace de Finsler 1939  The tensor analysis of partial differential equations 1940  Pathequations admitting the Lorenz group 1940  The concept of isotropy in generalized pathspaces 1940  A note on frequency distribution in series 1941  A bivariate extension of Fisher's Z test 1941  Correlation and time series,Current Science 1941  Pathequations admitting the Lorenz group  II 1942  On the zeros and closure of orthogonal functions 1943  Statistics in function space 1944  The estimation of map distance from recombination values 1944  Direct derivation of series spectra 1944  The geometric method in mathematical statistics 1945  Parallelism in the tensor analysis of partial differential equations 1946  The law of large numbers 1946  Sur la differentiation covariante 1947  An extension of the leastsquares method for statistical estimation 1947  Les invariants differentials d'un tenseur covariant a deux indices 1948  Systems of partial differential equations of the second order 
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