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Traian Lalescu (; 12 July 1882 – 15 June 1929) was a
Romania Romania ( ; ro, România ) is a country located at the crossroads of Central Europe, Central, Eastern Europe, Eastern, and Southeast Europe, Southeastern Europe. It borders Bulgaria to the south, Ukraine to the north, Hungary to the west, S ...
n
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 ...
. His main focus was on
integral equations In mathematics, integral equations are equations in which an unknown function appears under an integral sign. In mathematical notation, integral equations may thus be expressed as being of the form: f(x_1,x_2,x_3,...,x_n ; u(x_1,x_2,x_3,...,x_n) ...
and he contributed to work in the areas of
functional equation In mathematics, a functional equation is, in the broadest meaning, an equation in which one or several functions appear as unknowns. So, differential equations and integral equations are functional equations. However, a more restricted meaning ...
s,
trigonometric series In mathematics, a trigonometric series is a infinite series of the form : \frac+\displaystyle\sum_^(A_ \cos + B_ \sin), an infinite version of a trigonometric polynomial. It is called the Fourier series of the integrable function f if the term ...
,
mathematical physics Mathematical physics refers to the development of mathematics, mathematical methods for application to problems in physics. The ''Journal of Mathematical Physics'' defines the field as "the application of mathematics to problems in physics and t ...
,
geometry Geometry (; ) is, with arithmetic, one of the oldest branches of mathematics. It is concerned with properties of space such as the distance, shape, size, and relative position of figures. A mathematician who works in the field of geometry is c ...
,
mechanics Mechanics (from Ancient Greek: μηχανική, ''mēkhanikḗ'', "of machines") is the area of mathematics and physics concerned with the relationships between force, matter, and motion among physical objects. Forces applied to objects r ...
,
algebra Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics. Elementary a ...
, and the
history of mathematics The history of mathematics deals with the origin of discoveries in mathematics and the mathematical methods and notation of the past. Before the modern age and the worldwide spread of knowledge, written examples of new mathematical developments ...
.


Life

He went to the
Carol I High School The Carol I National College ( ro, Colegiul Național Carol I din Craiova) is a high school located in central Craiova, Romania, on Ioan Maiorescu Street. It is one of the most prestigious secondary education institutions in Romania. Between 1947 ...
in
Craiova Craiova (, also , ), is Romania's 6th Cities in Romania, largest city and capital of Dolj County, and situated near the east bank of the river Jiu River, Jiu in central Oltenia. It is a longstanding political center, and is located at approximatel ...
, continuing high school in
Roman Roman or Romans most often refers to: *Rome, the capital city of Italy *Ancient Rome, Roman civilization from 8th century BC to 5th century AD *Roman people, the people of ancient Rome *''Epistle to the Romans'', shortened to ''Romans'', a letter ...
, and graduating from the
Boarding High School A boarding school is a school where pupils live within premises while being given formal instruction. The word "boarding" is used in the sense of "room and board", i.e. lodging and meals. As they have existed for many centuries, and now exten ...
in
Iași Iași ( , , ; also known by other alternative names), also referred to mostly historically as Jassy ( , ), is the second largest city in Romania and the seat of Iași County. Located in the historical region of Moldavia, it has traditionally ...
. After entering the
University of Iași The Alexandru Ioan Cuza University (Romanian: ''Universitatea „Alexandru Ioan Cuza"''; acronym: UAIC) is a public university located in Iași, Romania. Founded by an 1860 decree of Prince Alexandru Ioan Cuza, under whom the former Academia Mih ...
, he completed his undergraduate studies in 1903 at the
University of Bucharest The University of Bucharest ( ro, Universitatea din București), commonly known after its abbreviation UB in Romania, is a public university founded in its current form on by a decree of Prince Alexandru Ioan Cuza to convert the former Princel ...
. He earned his
Ph.D. A Doctor of Philosophy (PhD, Ph.D., or DPhil; Latin: or ') is the most common degree at the highest academic level awarded following a course of study. PhDs are awarded for programs across the whole breadth of academic fields. Because it is a ...
in Mathematics from the
University of Paris , image_name = Coat of arms of the University of Paris.svg , image_size = 150px , caption = Coat of Arms , latin_name = Universitas magistrorum et scholarium Parisiensis , motto = ''Hic et ubique terrarum'' (Latin) , mottoeng = Here and a ...
in 1908. His dissertation, ''Sur les équations de Volterra'', was written under the direction of
Émile Picard Charles Émile Picard (; 24 July 1856 – 11 December 1941) was a French mathematician. He was elected the fifteenth member to occupy seat 1 of the Académie française in 1924. Life He was born in Paris on 24 July 1856 and educated there at th ...
. In 1911, he published ''Introduction to the Theory of Integral Equations'', the first book ever on the subject of
integral equation In mathematics, integral equations are equations in which an unknown Function (mathematics), function appears under an integral sign. In mathematical notation, integral equations may thus be expressed as being of the form: f(x_1,x_2,x_3,...,x_n ; ...
s. After returning to Romania in 1909, he first taught Mathematics at the Ion Maiorescu Gymnasium in
Giurgiu Giurgiu (; bg, Гюргево) is a city in southern Romania. The seat of Giurgiu County, it lies in the historical region of Muntenia. It is situated amongst mud-flats and marshes on the left bank of the Danube facing the Bulgarian city ...
. From 1909 to 1910, he was a teaching assistant at the School of Bridges and Highways, in the department of graphic statistics. He was a professor at the
University of Bucharest The University of Bucharest ( ro, Universitatea din București), commonly known after its abbreviation UB in Romania, is a public university founded in its current form on by a decree of Prince Alexandru Ioan Cuza to convert the former Princel ...
, the
Polytechnic University of Timișoara Polytechnic is most commonly used to refer to schools, colleges, or universities that qualify as an institute of technology or vocational university also sometimes called universities of applied sciences. Polytechnic may also refer to: Educatio ...
(where he was the first
rector Rector (Latin for the member of a vessel's crew who steers) may refer to: Style or title *Rector (ecclesiastical), a cleric who functions as an administrative leader in some Christian denominations *Rector (academia), a senior official in an edu ...
, in 1920), and the
Polytechnic University of Bucharest Politehnica University of Bucharest ( ro, Universitatea Politehnica din București) is a technical university in Bucharest, Romania. 200 years of activity have been celebrated lately, as the university was founded in 1818.+1\sqrt /math> : \lim_ L_ = \frac


Legacy

There are several institutions bearing his name, including Colegiul Naţional de Informatică ''Traian Lalescu'' in
Hunedoara Hunedoara (; german: Eisenmarkt; hu, Vajdahunyad ) is a municipiu, city in Hunedoara County, Transylvania, Romania. It is located in southwestern Transylvania near the Poiana Ruscă Mountains, and administers five villages: Boș (''Bós''), Groș ...
and Liceul Teoretic ''Traian Lalescu'' in Reşiţa. There is also a Traian Lalescu Street in Timişoara. The National Mathematics Contest ''Traian Lalescu'' for undergraduate students is also named after him. A statue of Lalescu, carved in 1930 by
Cornel Medrea Cornel Medrea (; March 8, 1888–July 25, 1964) was a Romanian sculptor. Biography Artistic studies He was born on March 8, 1888, in Miercurea Sibiului, then in Szeben County, Kingdom of Hungary, now Sibiu County, Romania. After moving with hi ...
, is situated in front of the Faculty of Mechanical Engineering, in Timişoara and another statue of Lalescu is situated inside the University of Bucharest.


Work

* T. Lalesco
''Introduction à la théorie des équations intégrales. Avec une préface de É. Picard''
Paris: A. Hermann et Fils, 1912. VII + 152 pp.JFM entry
* Traian Lalescu, ''Introducere la teoria ecuaţiilor integrale'', Editura Academiei Republicii Populare Romîne, 1956. 134 pp. (A reprint of the first edition ucharest, 1911 with a bibliography taken from the French translation aris, 1912.


References


External links

*
"Representative Figures of the Romanian Science and Technology"
*
"Traian Lalescu"
from Colegiul Naţional de Informatică ''Traian Lalescu'', Hunedoara *
"Cine a fost Traian Lalescu?"
from Liceul Teoretic ''Traian Lalescu'', Reşiţa *

at infotim.ro
A Class of Applications of AM-GM Inequality (From a 2004 Putnam Competition Problem to Lalescu’s Sequence)
by Wladimir G. Boskoff and Bogdan Suceava, Australian Math. Society Gazette, 33 (2006), No.1, 51-56. {{DEFAULTSORT:Lalescu, Traian 20th-century Romanian mathematicians Mathematical analysts Members of the Romanian Academy elected posthumously Scientists from Bucharest Romanian schoolteachers Romanian textbook writers Rectors of Politehnica University of Timișoara University and college founders University of Bucharest alumni University of Bucharest faculty Alexandru Ioan Cuza University alumni University of Paris alumni Politehnica University of Bucharest faculty Carol I National College alumni 1882 births 1929 deaths