Heinrich Guggenheimer
Encyclopedia
Heinrich Walter Guggenheimer is an American mathematician
who has contributed to knowledge in differential geometry, topology
, algebraic geometry
, and convexity
. He has also contributed volumes on Jewish sacred literature.
Heinrich Guggenheimer was born 21 July 1924 in Nuremberg
, Germany
. He is the son of Marguerite Bloch and Siegfried Guggenheimer. He studied in Zurich, Switzerland at the Eidgenössiche Technische Hochschule
, receiving his diploma in 1947 and a D.Sc. in 1951. His dissertation was titled "On complex analytic manifolds with Kahler metric". It was published in Commentarii Mathematici Helvetici
:25:257–97 (in German).
Guggenheimer began his teaching career at Hebrew University as lecturer 1954–6. He was a professor at Bar Ilan University 1956–9. In 1959 he immigrated to the United States, becoming a naturalized citizen in 1965. Washington State University
was his first American post, where he was an associate professor. After one year he moved to University of Minnesota
where he was raised to a full professor in 1962. While in Minnesota he wrote Differential Geometry (1963), a textbook
treating "classical problems with modern methods". According to Robert Hermann in 1979, "Among today's treatises, the best one from the point of view of the Erlangen Program
is Differential Geometry by H. Guggenheimer, Dover Publications, 1977."
In 1967 Guggenheimer published Plane Geometry and its Groups (Holden Day), and moved to New York City
to teach at Polytechnic University, now called Polytechnic Institute of New York University. In 1977 he published Applicable Geometry: Global and Local Convexity.
Until 1995 Guggenheimer produced a steady stream of papers in mathematical journals. As a supervisor of graduate study in Minnesota and New York he had six students proceed to Ph.D.s with theses supervised by him, two in Minnesota and four in New York. See the link to the Mathematics Genealogy Project
below.
Guggenheimer has also contributed to literature on Judaism
. In 1966 he wrote "Logical problems in Jewish tradition". The next year he contributed "Magic and Dialect" to Diogenes
(15:80–6) where he examines the supposition that "knowledge of the right name gives power over the bearer of that name". In 1995 Heinrich Guggenheimer presented his A Scholar’s Haggadah, which makes a bilingual comparison of variances in the traditions of Passover
observance. It includes Ashkenazic, Sephardic, and Oriental sources.
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....
who has contributed to knowledge in differential geometry, topology
Topology
Topology is a major area of mathematics concerned with properties that are preserved under continuous deformations of objects, such as deformations that involve stretching, but no tearing or gluing...
, algebraic geometry
Algebraic geometry
Algebraic geometry is a branch of mathematics which combines techniques of abstract algebra, especially commutative algebra, with the language and the problems of geometry. It occupies a central place in modern mathematics and has multiple conceptual connections with such diverse fields as complex...
, and convexity
Convex set
In Euclidean space, an object is convex if for every pair of points within the object, every point on the straight line segment that joins them is also within the object...
. He has also contributed volumes on Jewish sacred literature.
Heinrich Guggenheimer was born 21 July 1924 in Nuremberg
Nuremberg
Nuremberg[p] is a city in the German state of Bavaria, in the administrative region of Middle Franconia. Situated on the Pegnitz river and the Rhine–Main–Danube Canal, it is located about north of Munich and is Franconia's largest city. The population is 505,664...
, Germany
Germany
Germany , officially the Federal Republic of Germany , is a federal parliamentary republic in Europe. The country consists of 16 states while the capital and largest city is Berlin. Germany covers an area of 357,021 km2 and has a largely temperate seasonal climate...
. He is the son of Marguerite Bloch and Siegfried Guggenheimer. He studied in Zurich, Switzerland at the Eidgenössiche Technische Hochschule
Eth
Eth is a letter used in Old English, Icelandic, Faroese , and Elfdalian. It was also used in Scandinavia during the Middle Ages, but was subsequently replaced with dh and later d. The capital eth resembles a D with a line through the vertical stroke...
, receiving his diploma in 1947 and a D.Sc. in 1951. His dissertation was titled "On complex analytic manifolds with Kahler metric". It was published in Commentarii Mathematici Helvetici
Commentarii Mathematici Helvetici
The Commentarii Mathematici Helvetici is a scholarly journal in mathematics published by the European Mathematical Society. The Swiss Mathematical Society started the journal in 1929 after a meeting in May of the previous year. The scope of the journal includes research articles in all aspects in...
:25:257–97 (in German).
Guggenheimer began his teaching career at Hebrew University as lecturer 1954–6. He was a professor at Bar Ilan University 1956–9. In 1959 he immigrated to the United States, becoming a naturalized citizen in 1965. Washington State University
Washington State University
Washington State University is a public research university based in Pullman, Washington, in the Palouse region of the Pacific Northwest. Founded in 1890, WSU is the state's original and largest land-grant university...
was his first American post, where he was an associate professor. After one year he moved to University of Minnesota
University of Minnesota
The University of Minnesota, Twin Cities is a public research university located in Minneapolis and St. Paul, Minnesota, United States. It is the oldest and largest part of the University of Minnesota system and has the fourth-largest main campus student body in the United States, with 52,557...
where he was raised to a full professor in 1962. While in Minnesota he wrote Differential Geometry (1963), a textbook
Textbook
A textbook or coursebook is a manual of instruction in any branch of study. Textbooks are produced according to the demands of educational institutions...
treating "classical problems with modern methods". According to Robert Hermann in 1979, "Among today's treatises, the best one from the point of view of the Erlangen Program
Erlangen program
An influential research program and manifesto was published in 1872 by Felix Klein, under the title Vergleichende Betrachtungen über neuere geometrische Forschungen...
is Differential Geometry by H. Guggenheimer, Dover Publications, 1977."
In 1967 Guggenheimer published Plane Geometry and its Groups (Holden Day), and moved to New York City
New York City
New York is the most populous city in the United States and the center of the New York Metropolitan Area, one of the most populous metropolitan areas in the world. New York exerts a significant impact upon global commerce, finance, media, art, fashion, research, technology, education, and...
to teach at Polytechnic University, now called Polytechnic Institute of New York University. In 1977 he published Applicable Geometry: Global and Local Convexity.
Until 1995 Guggenheimer produced a steady stream of papers in mathematical journals. As a supervisor of graduate study in Minnesota and New York he had six students proceed to Ph.D.s with theses supervised by him, two in Minnesota and four in New York. See the link to the Mathematics Genealogy Project
Mathematics Genealogy Project
The Mathematics Genealogy Project is a web-based database for the academic genealogy of mathematicians. As of September, 2010, it contained information on approximately 145,000 mathematical scientists who contribute to "research-level mathematics"...
below.
Guggenheimer has also contributed to literature on Judaism
Judaism
Judaism ) is the "religion, philosophy, and way of life" of the Jewish people...
. In 1966 he wrote "Logical problems in Jewish tradition". The next year he contributed "Magic and Dialect" to Diogenes
Diogenes (journal)
Diogenes is a peer-reviewed academic journal that publishes papers three times a year in the field of Philosophy. The journal's editors are Maurice Aymard and Luca Maria Scarantino...
(15:80–6) where he examines the supposition that "knowledge of the right name gives power over the bearer of that name". In 1995 Heinrich Guggenheimer presented his A Scholar’s Haggadah, which makes a bilingual comparison of variances in the traditions of Passover
Passover
Passover is a Jewish holiday and festival. It commemorates the story of the Exodus, in which the ancient Israelites were freed from slavery in Egypt...
observance. It includes Ashkenazic, Sephardic, and Oriental sources.