Corrado Segre (20 August 1863 – 18 May 1924) was an
Italian
Italian(s) may refer to:
* Anything of, from, or related to the people of Italy over the centuries
** Italians, a Romance ethnic group related to or simply a citizen of the Italian Republic or Italian Kingdom
** Italian language, a Romance languag ...
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, mathematical structure, structure, space, Mathematica ...
who is remembered today as a major contributor to the early development of
algebraic geometry
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometry, geometrical problems. Classically, it studies zero of a function, zeros of multivariate polynomials; th ...
.
Early life
Corrado's parents were Abramo Segre and Estella De Benedetti.
Career
Segre developed his entire career at the
University of Turin
The University of Turin (Italian language, Italian: ''Università degli Studi di Torino'', UNITO) is a public university, public research university in the city of Turin, in the Piedmont (Italy), Piedmont region of Italy. It is one of the List ...
, first as a student of
Enrico D'Ovidio. In 1883 he published a dissertation on
quadric
In mathematics, a quadric or quadric surface is a generalization of conic sections (ellipses, parabolas, and hyperbolas). In three-dimensional space, quadrics include ellipsoids, paraboloids, and hyperboloids.
More generally, a quadric hype ...
s in
projective space
In mathematics, the concept of a projective space originated from the visual effect of perspective, where parallel lines seem to meet ''at infinity''. A projective space may thus be viewed as the extension of a Euclidean space, or, more generally ...
and was named an assistant to professors in algebra and
analytic geometry
In mathematics, analytic geometry, also known as coordinate geometry or Cartesian geometry, is the study of geometry using a coordinate system. This contrasts with synthetic geometry.
Analytic geometry is used in physics and engineering, and als ...
. In 1885 he also assisted in
descriptive geometry
Descriptive geometry is the branch of geometry which allows the representation of three-dimensional objects in two dimensions by using a specific set of procedures. The resulting techniques are important for engineering, architecture, design an ...
. He began to instruct in projective geometry, as a stand-in for
Giuseppe Bruno, from 1885 to 1888. Then for 36 years, he had the chair in higher geometry following D'Ovidio. Segre and
Giuseppe Peano
Giuseppe Peano (; ; 27 August 1858 – 20 April 1932) was an Italian mathematician and glottologist. The author of over 200 books and papers, he was a founder of mathematical logic and set theory, to which he contributed much Mathematical notati ...
made Turin known in geometry, and their complementary instruction has been noted as follows:
The
Erlangen program
In mathematics, the Erlangen program is a method of characterizing geometries based on group theory and projective geometry. It was published by Felix Klein in 1872 as ''Vergleichende Betrachtungen über neuere geometrische Forschungen.'' It is na ...
of
Felix Klein
Felix Christian Klein (; ; 25 April 1849 – 22 June 1925) was a German mathematician and Mathematics education, mathematics educator, known for his work in group theory, complex analysis, non-Euclidean geometry, and the associations betwe ...
appealed early on to Segre, and he became a promulgator. First, in 1885 he published an article on conics in the plane where he demonstrated how group theory facilitated the study. As Hawkins says (page 252) "the totality of all conics in the plane is identified with P
5(C)". The group of its projectivities is then the group that permutes conics. About Segre, Hawkins writes
The inspiring ''Geometrie der Lage'' (1847) of
Karl Georg Christian von Staudt provided Segre with another project. He encouraged
Mario Pieri
Mario Pieri (22 June 1860 – 1 March 1913) was an Italian mathematician who is known for his work on foundations of geometry.
Biography
Pieri was born in Lucca, Italy, the son of Pellegrino Pieri and Ermina Luporini. Pellegrino was a lawyer. Pie ...
to make a translation, ''Geometria di Posizione'' (1889), while Segre composed a biographical sketch of von Staudt that was included in the publication.
Segre also expanded algebraic geometry by consideration of
multicomplex numbers, in particular the
bicomplex number
In abstract algebra, a bicomplex number is a pair of complex numbers constructed by the Cayley–Dickson process that defines the bicomplex conjugate (w,z)^* = (w, -z), and the product of two bicomplex numbers as
: (u,v)(w,z) = (u w - v z, u z ...
s. Segre's 1892 contribution to
Mathematische Annalen
''Mathematische Annalen'' (abbreviated as ''Math. Ann.'' or, formerly, ''Math. Annal.'') is a German mathematical research journal founded in 1868 by Alfred Clebsch and Carl Neumann. Subsequent managing editors were Felix Klein, David Hilbert, ...
shows him extending the work of
William Rowan Hamilton
Sir William Rowan Hamilton (4 August 1805 – 2 September 1865) was an Irish astronomer, mathematician, and physicist who made numerous major contributions to abstract algebra, classical mechanics, and optics. His theoretical works and mathema ...
and
William Kingdon Clifford
William Kingdon Clifford (4 May 18453 March 1879) was a British mathematician and philosopher. Building on the work of Hermann Grassmann, he introduced what is now termed geometric algebra, a special case of the Clifford algebra named in his ...
on
biquaternion
In abstract algebra, the biquaternions are the numbers , where , and are complex numbers, or variants thereof, and the elements of multiply as in the quaternion group and commute with their coefficients. There are three types of biquaternions cor ...
s. But Segre was unaware of an earlier study of tessarines that had anticipated his bicomplex numbers.
In English, the best-known work of Segre is an inspirational essay meant for Italian students, translated by J.W. Young in 1904. It provides guidance and encouragement to young people studying mathematics.
In a 1926 memorial article, H.F. Baker called Segre the "father of" the
Italian school of algebraic geometry.
The 1912 article "Higher-dimensional Spaces" (''Mehrdimensionale Räume'') for
''Enzyklopädie der mathematischen Wissenschaften'' spanned 200 pages.
In admiration, Baker (1926) wrote and Coolidge (1927) reiterated: For completeness of detail, breadth of view, and generous recognition of the work of a host of other writers, this must remain for many years a monument of the comprehensiveness of the man.
Notes
References
* .
* .
*
*
* . (see especially pages 455–67)
* Pierre Speziale (1975) "Corrado Segre",
Dictionary of Scientific Biography
The ''Dictionary of Scientific Biography'' is a scholarly reference work that was published from 1970 through 1980 by publisher Charles Scribner's Sons, with main editor the science historian Charles Coulston Gillispie, Charles Gillispie, from Pri ...
, auspices of
American Council of Learned Societies
The American Council of Learned Societies (ACLS) is a private, nonprofit federation of 75 scholarly organizations in the humanities and related social sciences founded in 1919. It is best known for its fellowship competitions which provide a ra ...
.
* Livia Giacardi (2001) "The Corrado Segre Archive",
Historia Mathematica
''Historia Mathematica: International Journal of History of Mathematics'' is an academic journal on the history of mathematics published by Elsevier. It was established by Kenneth O. May in 1971 as the free newsletter ''Notae de Historia Mathemat ...
28: 296–301.
* Livia Giacardi, 2002, (Ed.) I Quaderni di Corrado Segre, CD-ROM, Dipartimento di matematica, Università di Torino.
External links
*
*
{{DEFAULTSORT:Segre, Corrado
1863 births
1924 deaths
People from Saluzzo
20th-century Italian Jews
19th-century Italian mathematicians
20th-century Italian mathematicians
Differential geometers
University of Turin alumni
Academic staff of the University of Turin
Algebraic geometers
Italian algebraic geometers
19th-century Italian Jews