Esteban Terradas i Illa
Encyclopedia
Esteban Terradas i Illa (born Barcelona
Barcelona
Barcelona is the second largest city in Spain after Madrid, and the capital of Catalonia, with a population of 1,621,537 within its administrative limits on a land area of...

, 15 September 1883; died Madrid
Madrid
Madrid is the capital and largest city of Spain. The population of the city is roughly 3.3 million and the entire population of the Madrid metropolitan area is calculated to be 6.271 million. It is the third largest city in the European Union, after London and Berlin, and its metropolitan...

, 9 May 1950) was a Spanish
Spanish people
The Spanish are citizens of the Kingdom of Spain. Within Spain, there are also a number of vigorous nationalisms and regionalisms, reflecting the country's complex history....

 mathematician
Mathematician
A mathematician is a person whose primary area of study is the field of mathematics. Mathematicians are concerned with quantity, structure, space, and change....

, scientist
Scientist
A scientist in a broad sense is one engaging in a systematic activity to acquire knowledge. In a more restricted sense, a scientist is an individual who uses the scientific method. The person may be an expert in one or more areas of science. This article focuses on the more restricted use of the word...

 and engineer
Engineer
An engineer is a professional practitioner of engineering, concerned with applying scientific knowledge, mathematics and ingenuity to develop solutions for technical problems. Engineers design materials, structures, machines and systems while considering the limitations imposed by practicality,...

. He researched and taught widely in the fields of mathematics
Mathematics
Mathematics is the study of quantity, space, structure, and change. Mathematicians seek out patterns and formulate new conjectures. Mathematicians resolve the truth or falsity of conjectures by mathematical proofs, which are arguments sufficient to convince other mathematicians of their validity...

 and the physical sciences, working not only in his native Catalonia
Catalonia
Catalonia is an autonomous community in northeastern Spain, with the official status of a "nationality" of Spain. Catalonia comprises four provinces: Barcelona, Girona, Lleida, and Tarragona. Its capital and largest city is Barcelona. Catalonia covers an area of 32,114 km² and has an...

, but also in the rest of Spain
Spain
Spain , officially the Kingdom of Spain languages]] under the European Charter for Regional or Minority Languages. In each of these, Spain's official name is as follows:;;;;;;), is a country and member state of the European Union located in southwestern Europe on the Iberian Peninsula...

 and in South America
South America
South America is a continent situated in the Western Hemisphere, mostly in the Southern Hemisphere, with a relatively small portion in the Northern Hemisphere. The continent is also considered a subcontinent of the Americas. It is bordered on the west by the Pacific Ocean and on the north and east...

. He was also active as a consultant in the Spanish aeronautics
Aeronautics
Aeronautics is the science involved with the study, design, and manufacturing of airflight-capable machines, or the techniques of operating aircraft and rocketry within the atmosphere...

, electric power
Electric power
Electric power is the rate at which electric energy is transferred by an electric circuit. The SI unit of power is the watt.-Circuits:Electric power, like mechanical power, is represented by the letter P in electrical equations...

, telephone
Telephone
The telephone , colloquially referred to as a phone, is a telecommunications device that transmits and receives sounds, usually the human voice. Telephones are a point-to-point communication system whose most basic function is to allow two people separated by large distances to talk to each other...

 and railway industries.

Education and academic career

He held two doctorate
Doctorate
A doctorate is an academic degree or professional degree that in most countries refers to a class of degrees which qualify the holder to teach in a specific field, A doctorate is an academic degree or professional degree that in most countries refers to a class of degrees which qualify the holder...

s (in mathematics and physics
Physics
Physics is a natural science that involves the study of matter and its motion through spacetime, along with related concepts such as energy and force. More broadly, it is the general analysis of nature, conducted in order to understand how the universe behaves.Physics is one of the oldest academic...

) on 1904, as well as two degrees in engineering
Engineering
Engineering is the discipline, art, skill and profession of acquiring and applying scientific, mathematical, economic, social, and practical knowledge, in order to design and build structures, machines, devices, systems, materials and processes that safely realize improvements to the lives of...

. He was professor
Professor
A professor is a scholarly teacher; the precise meaning of the term varies by country. Literally, professor derives from Latin as a "person who professes" being usually an expert in arts or sciences; a teacher of high rank...

 of mathematical analysis
Mathematical analysis
Mathematical analysis, which mathematicians refer to simply as analysis, has its beginnings in the rigorous formulation of infinitesimal calculus. It is a branch of pure mathematics that includes the theories of differentiation, integration and measure, limits, infinite series, and analytic functions...

 (teaching differential equations) and later of mathematical physics
Mathematical physics
Mathematical physics refers to development of mathematical methods for application to problems in physics. The Journal of Mathematical Physics defines this area as: "the application of mathematics to problems in physics and the development of mathematical methods suitable for such applications and...

 at Barcelona Central University. He also taught acoustics
Acoustics
Acoustics is the interdisciplinary science that deals with the study of all mechanical waves in gases, liquids, and solids including vibration, sound, ultrasound and infrasound. A scientist who works in the field of acoustics is an acoustician while someone working in the field of acoustics...

, optics
Optics
Optics is the branch of physics which involves the behavior and properties of light, including its interactions with matter and the construction of instruments that use or detect it. Optics usually describes the behavior of visible, ultraviolet, and infrared light...

, electricity
Electricity
Electricity is a general term encompassing a variety of phenomena resulting from the presence and flow of electric charge. These include many easily recognizable phenomena, such as lightning, static electricity, and the flow of electrical current in an electrical wire...

, magnetism
Magnetism
Magnetism is a property of materials that respond at an atomic or subatomic level to an applied magnetic field. Ferromagnetism is the strongest and most familiar type of magnetism. It is responsible for the behavior of permanent magnets, which produce their own persistent magnetic fields, as well...

 and classical mechanics
Classical mechanics
In physics, classical mechanics is one of the two major sub-fields of mechanics, which is concerned with the set of physical laws describing the motion of bodies under the action of a system of forces...

 at the University of Barcelona
University of Barcelona
The University of Barcelona is a public university located in the city of Barcelona, Catalonia in Spain. It is a member of the Coimbra Group, LERU, European University Association, Mediterranean Universities Union, International Research Universities Network and Vives Network...

, teaching mechanics also at the University of Zaragoza
University of Zaragoza
The University of Zaragoza or sometimes Saragossa University is a university located in Zaragoza, in the Aragon region of Spain...

, University of Buenos Aires
University of Buenos Aires
The University of Buenos Aires is the largest university in Argentina and the largest university by enrollment in Latin America. Founded on August 12, 1821 in the city of Buenos Aires, it consists of 13 faculties, 6 hospitals, 10 museums and is linked to 4 high schools: Colegio Nacional de Buenos...

 and the universities of La Plata
La Plata
La Plata is the capital city of the Province of Buenos Aires, Argentina, and of La Plata partido. According to the , the city proper has a population of 574,369 and its metropolitan area has 694,253 inhabitants....

 (Argentina
Argentina
Argentina , officially the Argentine Republic , is the second largest country in South America by land area, after Brazil. It is constituted as a federation of 23 provinces and an autonomous city, Buenos Aires...

) and Montevideo
Montevideo
Montevideo is the largest city, the capital, and the chief port of Uruguay. The settlement was established in 1726 by Bruno Mauricio de Zabala, as a strategic move amidst a Spanish-Portuguese dispute over the platine region, and as a counter to the Portuguese colony at Colonia del Sacramento...

 (Uruguay
Uruguay
Uruguay ,officially the Oriental Republic of Uruguay,sometimes the Eastern Republic of Uruguay; ) is a country in the southeastern part of South America. It is home to some 3.5 million people, of whom 1.8 million live in the capital Montevideo and its metropolitan area...

). He was a Member of the Royal Academy of the Spanish Language and active in the Royal Academy of Exact, Physical and Natural Sciences and the Royal Academy of Sciences and Arts of Barcelona. He was granted honorary doctorates by the Universities of Buenos Aires, of Santiago de Chile and of Toulouse
Toulouse
Toulouse is a city in the Haute-Garonne department in southwestern FranceIt lies on the banks of the River Garonne, 590 km away from Paris and half-way between the Atlantic Ocean and the Mediterranean Sea...

 (France
France
The French Republic , The French Republic , The French Republic , (commonly known as France , is a unitary semi-presidential republic in Western Europe with several overseas territories and islands located on other continents and in the Indian, Pacific, and Atlantic oceans. Metropolitan France...

) and established as an honorary member of the Royal Academy of Medicine of Barcelona, the Association of Argentine Engineers, and of the Society of Engineers of Peru
Peru
Peru , officially the Republic of Peru , is a country in western South America. It is bordered on the north by Ecuador and Colombia, on the east by Brazil, on the southeast by Bolivia, on the south by Chile, and on the west by the Pacific Ocean....

 among many other honours.

He studied at Charlottenburg
Charlottenburg
Charlottenburg is a locality of Berlin within the borough of Charlottenburg-Wilmersdorf, named after Queen consort Sophia Charlotte...

 in Berlin
Berlin
Berlin is the capital city of Germany and is one of the 16 states of Germany. With a population of 3.45 million people, Berlin is Germany's largest city. It is the second most populous city proper and the seventh most populous urban area in the European Union...

, Barcelona and Madrid. Known as an exceptional student, entered the University on 1898, when was only 15 years old. He held professorships in the universities of Zaragoza, Barcelona and Madrid, specializing in physical and mathematical sciences and publishing numerous articles about those subjects. In 1909, while at the Academy of Sciences and Arts of Barcelona, he produced an important work entitled Emisión de radiaciones por cuerpos fijos o en movimiento.
His teaching and pedagogical activity was also important. He published articles in the "Revista de la Academia de Ciencias" in Madrid, and in the bulletin of the Institute of Sciences of Barcelona. He set up a physics-mathematics seminar
Seminar
Seminar is, generally, a form of academic instruction, either at an academic institution or offered by a commercial or professional organization. It has the function of bringing together small groups for recurring meetings, focusing each time on some particular subject, in which everyone present is...

, to which he brought some of the best regarded scientists of his time. He became a founder member of the Sciences Section of the Institute of Catalan Studies
Institut d'Estudis Catalans
The Institut d'Estudis Catalans , also known by the acronym IEC, is an academic institution which seeks to undertake research and study into "all elements of Catalan culture"....

 in 1911, within the framework of the Monographic Courses of High Studies of Exchange promoted by the Commonwealth of Catalonia. He also participated in the Minerva Collection, where he published "The radium
Radium
Radium is a chemical element with atomic number 88, represented by the symbol Ra. Radium is an almost pure-white alkaline earth metal, but it readily oxidizes on exposure to air, becoming black in color. All isotopes of radium are highly radioactive, with the most stable isotope being radium-226,...

". In 1919 set up the Institute of Electricity and Applied Mechanics and was its director; he was also a teacher of the section of electrotechnics of the Escola del Treball.

He was interested about photography
Photography
Photography is the art, science and practice of creating durable images by recording light or other electromagnetic radiation, either electronically by means of an image sensor or chemically by means of a light-sensitive material such as photographic film...

, starting at the time, on the beginning of the 20th century, using it to illustrate his technical and scientific works as well as his personal life.

He was fascinated by the theories of quanta
Quantum mechanics
Quantum mechanics, also known as quantum physics or quantum theory, is a branch of physics providing a mathematical description of much of the dual particle-like and wave-like behavior and interactions of energy and matter. It departs from classical mechanics primarily at the atomic and subatomic...

 and relativity
Theory of relativity
The theory of relativity, or simply relativity, encompasses two theories of Albert Einstein: special relativity and general relativity. However, the word relativity is sometimes used in reference to Galilean invariance....

, inviting such figures as Jacques Hadamard
Jacques Hadamard
Jacques Salomon Hadamard FRS was a French mathematician who made major contributions in number theory, complex function theory, differential geometry and partial differential equations.-Biography:...

) (1921), Hermann Weyl
Hermann Weyl
Hermann Klaus Hugo Weyl was a German mathematician and theoretical physicist. Although much of his working life was spent in Zürich, Switzerland and then Princeton, he is associated with the University of Göttingen tradition of mathematics, represented by David Hilbert and Hermann Minkowski.His...

 (1921), Arnold Sommerfeld
Arnold Sommerfeld
Arnold Johannes Wilhelm Sommerfeld was a German theoretical physicist who pioneered developments in atomic and quantum physics, and also educated and groomed a large number of students for the new era of theoretical physics...

 (1922), Tullio Levi-Civita
Tullio Levi-Civita
Tullio Levi-Civita, FRS was an Italian mathematician, most famous for his work on absolute differential calculus and its applications to the theory of relativity, but who also made significant contributions in other areas. He was a pupil of Gregorio Ricci-Curbastro, the inventor of tensor calculus...

 (1922) and Albert Einstein
Albert Einstein
Albert Einstein was a German-born theoretical physicist who developed the theory of general relativity, effecting a revolution in physics. For this achievement, Einstein is often regarded as the father of modern physics and one of the most prolific intellects in human history...

 (1923) to Barcelona. Einstein's Spanish visit, between 22 and 28 February 1923, was a notable success, organized by Terradas, the Catalan Government, the Mancomunitat, and Rafael Campalans. Terradas also was the driving force behind a series of scientific monograph
Monograph
A monograph is a work of writing upon a single subject, usually by a single author.It is often a scholarly essay or learned treatise, and may be released in the manner of a book or journal article. It is by definition a single document that forms a complete text in itself...

s that were a compilation of these lectures, his own and the works of others (including Julio Palacios, Julio Rey Pastor
Julio Rey Pastor
Julio Rey Pastor was a Spanish mathematician and historian of science.Rey Pastor earned his doctorate from Complutense University of Madrid in 1909, under supervision of Eduardo Torroja Caballé...

 and Jacques Hadamard
Jacques Hadamard
Jacques Salomon Hadamard FRS was a French mathematician who made major contributions in number theory, complex function theory, differential geometry and partial differential equations.-Biography:...

), printed by the Institute of Catalan Studies under the title "Courses of Physics and Mathematics".

He lectured at several universities in South America, teaching in those of Buenos Aires and Rio de la Plata
Río de la Plata
The Río de la Plata —sometimes rendered River Plate in British English and the Commonwealth, and occasionally rendered [La] Plata River in other English-speaking countries—is the river and estuary formed by the confluence of the Uruguay River and the Paraná River on the border between Argentina and...

 (Uruguay
Uruguay
Uruguay ,officially the Oriental Republic of Uruguay,sometimes the Eastern Republic of Uruguay; ) is a country in the southeastern part of South America. It is home to some 3.5 million people, of whom 1.8 million live in the capital Montevideo and its metropolitan area...

) from 1936 to 39. When a chair of differential equations was later established at Madrid, Terradas won it.

Industries consultant

On 1918, Terradas was chosen to drive the Xarxa de Ferrocarrils Secundaris de Catalunya (Secondary Net of Catalan Railways), intended to decentralize Catalonia, but was never completed due to the dictatorship
Dictatorship
A dictatorship is defined as an autocratic form of government in which the government is ruled by an individual, the dictator. It has three possible meanings:...

 of Primo de Rivera
Primo de Rivera
Primo de Rivera is a Spanish family prominent in politics of the 19th and 20th centuries:*Fernando Primo de Rivera, Spanish politician and soldier, 1831-1921*Miguel Primo de Rivera , dictator of Spain from 23 September 1923 to 1930...

 being established on 13 September 1923.

He was a technical director of the Commonwealth of Catalonia railways, he directed (1923-25) and projected the construction of the Transversal Metropolitan Railway of Barcelona and other Catalan railway lines.

It is said that the President of the Commonwealth of Catalonia, Josep Puig i Cadafalch
Josep Puig i Cadafalch
Josep Puig i Cadafalch was a Spanish Catalan Modernista architect who designed many significant buildings in Barcelona...

, entrusted him a study about the stability of the turn of plain brick, known as the "Catalan turn", which is kept at the archive of the Institute of Catalan Studies.

From 1940 onwards he worked for the Spanish Instituto Nacional de Industria
Instituto Nacional de Industria
'Instituto Nacional de Industria' , literally National Institute of Industry, was a Spanish state-owned financing and industrial holding company, currently succeeded by the Sociedad Estatal de Participaciones Industriales' .-History:...

, becoming one of the top consultants of the Spanish industrial development along the 40s. He specially was involved in the planning and design of the power plants built by Endesa
Endesa (Spain)
Endesa, S.A. is the largest electric utility company in Spain. The firm, a majority-owned subsidiary of the Italian utility company Enel, has 10 million customers in Spain, with domestic annual generation of over 97,600 GWh from nuclear, fossil-fueled, hydroelectric, and renewable resource power...

 by that time. He worked too at the Compañía Telefónica
Telefónica
Telefónica, S.A. is a Spanish broadband and telecommunications provider in Europe and Latin America. Operating globally, it is the third largest provider in the world...

 Nacional de España and served as a member of the Spanish National Research Council.

In 1942 he created the Spanish Instituto Nacional de Técnica Aeroespacial / INTA (National Institute of the Aerospace Technology), that after Terrada's death received his name. As INTA chairman, Terradas maintained along the late forties a sustained and fruitful professional relationship with Theodore von Karman
Theodore von Karman
Theodore von Kármán was a Hungarian-American mathematician, aerospace engineer and physicist who was active primarily in the fields of aeronautics and astronautics. He is responsible for many key advances in aerodynamics, notably his work on supersonic and hypersonic airflow characterization...

.

Works

In (1910) he published "Discrete elements of matter and radiation", "Corrientes marinas" (1941) and, to gain entry to the Royal Academy of the Spanish Language, the volume "Neologismos, arcanismos in plàtica de ingenieros" (1946). As an encyclopedist, he authored several articles in the Espasa Encyclopedia, including those on Celestial Mechanics
Celestial mechanics
Celestial mechanics is the branch of astronomy that deals with the motions of celestial objects. The field applies principles of physics, historically classical mechanics, to astronomical objects such as stars and planets to produce ephemeris data. Orbital mechanics is a subfield which focuses on...

, the Moon
Moon
The Moon is Earth's only known natural satellite,There are a number of near-Earth asteroids including 3753 Cruithne that are co-orbital with Earth: their orbits bring them close to Earth for periods of time but then alter in the long term . These are quasi-satellites and not true moons. For more...

 and relativity
Theory of relativity
The theory of relativity, or simply relativity, encompasses two theories of Albert Einstein: special relativity and general relativity. However, the word relativity is sometimes used in reference to Galilean invariance....

.

See also

  • 2399 Terradas
    2399 Terradas
    2399 Terradas is an asteroid found on 17 June 1971 by Carlos Ulrrico Cesco from El Leoncito.It is named in memory of Esteban Terradas i Illa , a Spanish mathematician and professor at the Universities of Zaragoza, Barcelona and Madrid....

     Asteroid named in his memory.
  • Locomotive Esteban Terradas, at the Railway Museum of Ponferrada
    Ponferrada
    Ponferrada is a city in the province of León, Castile and León, Spain. It lies on the Sil River, a tributary of the river Miño, in the El Bierzo valley, completely surrounded by mountains. It is the last major town along the French route of the Way of St. James before it reaches its destination...

    (Spain), named in his memory.

External links

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