Cadambathur Tiruvenkatacharlu Rajagopal
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Cadambur Tiruvenkatachari Rajagopal (8 September 1903 – 25 April 1978) was an Indian
mathematician A mathematician is someone who uses an extensive knowledge of mathematics in their work, typically to solve mathematical problems. Mathematicians are concerned with numbers, data, quantity, structure, space, models, and change. History On ...
.


Biography

Rajagopal was born in
Triplicane Triplicane, known in the vernacular as Thiruvallikeni, is one of the oldest neighbourhoods of Chennai, India. It is situated on the Bay of Bengal coast and about from Fort St George. The average elevation of the neighbourhood is 14 metres ...
,
Madras Chennai (, ), formerly known as Madras ( the official name until 1996), is the capital city of Tamil Nadu, the southernmost Indian state. The largest city of the state in area and population, Chennai is located on the Coromandel Coast of th ...
,
India India, officially the Republic of India (Hindi: ), is a country in South Asia. It is the seventh-largest country by area, the second-most populous country, and the most populous democracy in the world. Bounded by the Indian Ocean on the so ...
. He was the first son of Tiruvenkatachari and Padmammal. He had two younger brothers, C.T. Venugopal, a distinguished civil servant, and
C. T. K. Chari C. T. K. Chari (5 June 1909 – 5 January 1993) was Head of the Department of Philosophy at Madras Christian College from 1958 to 1969 and the most prominent among contemporary Indian philosophers who paid close attention to psi phenomena. ...
. They also had a young sister, Kamala. He studied at Presidency College and graduated with an Honours in mathematics in 1925. He was involved in the clerical service and then taught mathematics at
Annamalai University , logo = CampusmapofAU.jpg , image = Annamalai University logo.png , image_size = 225px , motto = "With Courage and Faith" , established = , type ...
. Rajagopal taught mathematics at
Madras Christian College Madras Christian College (MCC) is a liberal arts and sciences college in Chennai, India. Founded in 1837, MCC is one of Asia's oldest extant colleges. The college is affiliated to the University of Madras but functions as an autonomous institu ...
from 1931 to 1951. He joined the
Ramanujan Institute for Advanced Study in Mathematics Ramanujan Institute for Advanced Study in Mathematics (RIASM) is the Department of Mathematics of University of Madras. This name was adopted in 1967. History The University of Madras was incorporated in 1857 and the Department of Mathematics ...
in 1951. Collaborating on the teaching of
conic section In mathematics, a conic section, quadratic curve or conic is a curve obtained as the intersection of the surface of a cone with a plane. The three types of conic section are the hyperbola, the parabola, and the ellipse; the circle is a specia ...
s, Rajagopal and Vaniyambadi Rajagopala Srinivasaraghavan wrote a
textbook A textbook is a book containing a comprehensive compilation of content in a branch of study with the intention of explaining it. Textbooks are produced to meet the needs of educators, usually at educational institutions. Schoolbooks are textboo ...
, ''An Introduction to Analytical Conics'', that was published in 1955 by
Oxford University Press Oxford University Press (OUP) is the university press of the University of Oxford. It is the largest university press in the world, and its printing history dates back to the 1480s. Having been officially granted the legal right to print books ...
in India. A reviewer noted "a pleasing feature is the frequent reference to the history of the subject", and "the authors pursue the theory in great detail, proving a large number of subsidiary results." Rajagopal became Director of the
Ramanujan Institute for Advanced Study in Mathematics Ramanujan Institute for Advanced Study in Mathematics (RIASM) is the Department of Mathematics of University of Madras. This name was adopted in 1967. History The University of Madras was incorporated in 1857 and the Department of Mathematics ...
in 1955. He helped the Institute to become India's leading mathematics research centre. The Institute is now associated with the
University of Madras The University of Madras (informally known as Madras University) is a public university, public State university (India), state university in Chennai, Tamil Nadu, India. Established in 1857, it is one of the oldest and among the most prestigiou ...
, after it was merged with the Department of Mathematics at the University in 1967. Rajagopal conducted research on sequences, series, summability, and published more than 80 papers but is most noted for his work in the area of generalising and unifying
Tauberian theorems In mathematics, Abelian and Tauberian theorems are theorems giving conditions for two methods of summing divergent series to give the same result, named after Niels Henrik Abel and Alfred Tauber. The original examples are Abel's theorem showing that ...
. He also did research in many other mathematical topics. Rajagopal also conducted research in the history of medieval Indian mathematics. He showed that the series for arctan x discovered by James Gregory and those for sin x and cos x discovered by
Isaac Newton Sir Isaac Newton (25 December 1642 – 20 March 1726/27) was an English mathematician, physicist, astronomer, alchemist, theologian, and author (described in his time as a "natural philosopher"), widely recognised as one of the grea ...
were known to the Hindu mathematicians 150 years earlier. He identified
Madhava Mādhava means Lord Krishna an incarnation of Vishnu. It may also refer to: *a Sanskrit patronymic, "descendant of Madhu (a man of the Yadu tribe)". ** especially of Krishna, see Madhava (Vishnu) *** an icon of Krishna ** Madhava of Sangamagrama, ...
as the first discoverer of these series.


Works

* 1949: (with M.S. Rangachari) "A Neglected Chapter of Hindu Mathematics",
Scripta Mathematica ''Scripta Mathematica'' was a quarterly journal published by Yeshiva University devoted to the philosophy, history, and expository treatment of mathematics. It was said to be, at its time, "the only mathematical magazine in the world edited by spe ...
15: 201–9 * 1951: (with M.S. Rangachari) "On the Hindu proof of Gregory's series", ''Scripta Mathematica'' 17: 65–74. * 1949: (with A. Venkataraman) "The sine and cosine
power series In mathematics, a power series (in one variable) is an infinite series of the form \sum_^\infty a_n \left(x - c\right)^n = a_0 + a_1 (x - c) + a_2 (x - c)^2 + \dots where ''an'' represents the coefficient of the ''n''th term and ''c'' is a const ...
in Hindu mathematics", ''Journal of the Royal Asiatic Society of Bengal (Science)'' 15: 1–13. * 1955: (with V. R. Srinivasaraghavan
Introduction to Analytical Conics
via
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* 1977/8: (with M. S. Rangachari) "An Untapped Source of Medieval Keralese Mathematics", ''Archive for History of Exact Sciences'' 18(2): 89–102. * 1986: (with M.S Rangachari) "On Medieval Kerala Mathematics"
Archive for History of Exact Sciences ''Archive for History of Exact Sciences'' is a peer-reviewed academic journal currently published bimonthly by Springer Science+Business Media, covering the history of mathematics and of astronomy observations and techniques, epistemology of scienc ...
35: 91–99


See also

*
K. Ananda Rau K. Ananda Rau (21 September 1893 – 22 January 1966) was an eminent Indian mathematician and a contemporary of Ramanujan. Though Rau was six years junior to Ramanujan, his mathematical trajectory, unlike Ramanujan's, was very much a conventi ...


References


External links

*
Published papers archived on JSTOR
{{DEFAULTSORT:Rajagopal, Cadambur Tiruvenkatachari 1903 births 1978 deaths 20th-century Indian mathematicians Scientists from Chennai