Halsted, George Bruce 18531922
Overview
Works:  124 works in 351 publications in 2 languages and 3,973 library holdings 

Genres:  History Miscellanea Dictionaries 
Roles:  Translator, Author, Editor, Contributor, Author of introduction, Other 
Classifications:  QA685, 501 
Publication Timeline
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Most widely held works about
George Bruce Halsted
 Halsted, George Bruce, papers by George Bruce Halsted( )
 Halsted, George Bruce : Princeton A.B. 1875, A.M. 1878 by Joshua Lawrence Chamberlain( )
 Halsted, George Bruce( )
 Topology Conference Emroy University by Topology Conference( Book )
 Moore, R.L., Papers by R. L Moore( )
 Halsted's translation of Lobachevskii's Theory of parallels : an historical introduction by Albert C Lewis( Book )
 Some testimonials and credentials of G.B. Halsted by George Bruce Halsted( Book )
more
fewer
Most widely held works by
George Bruce Halsted
The foundations of science : science and hypothesis, the value of science, science and method by
Henri Poincaré(
Book
)
12 editions published between 1913 and 1946 in English and held by 602 WorldCat member libraries worldwide
12 editions published between 1913 and 1946 in English and held by 602 WorldCat member libraries worldwide
Geometrical researches on the theory of parallels by
N. I Lobachevskiĭ(
Book
)
25 editions published between 1891 and 2015 in English and held by 564 WorldCat member libraries worldwide
25 editions published between 1891 and 2015 in English and held by 564 WorldCat member libraries worldwide
Girolamo Saccheri's Euclides vindicatus by
Girolamo Saccheri(
Book
)
25 editions published between 1920 and 2007 in English and Undetermined and held by 436 WorldCat member libraries worldwide
25 editions published between 1920 and 2007 in English and Undetermined and held by 436 WorldCat member libraries worldwide
Rational geometry ; a textbook for the science of space by
George Bruce Halsted(
Book
)
14 editions published between 1907 and 2012 in English and Undetermined and held by 196 WorldCat member libraries worldwide
14 editions published between 1907 and 2012 in English and Undetermined and held by 196 WorldCat member libraries worldwide
The science absolute of space by
János Bolyai(
Book
)
19 editions published between 1891 and 1992 in English and held by 142 WorldCat member libraries worldwide
19 editions published between 1891 and 1992 in English and held by 142 WorldCat member libraries worldwide
Synthetic projective geometry by
George Bruce Halsted(
Book
)
11 editions published between 1906 and 2012 in English and Undetermined and held by 133 WorldCat member libraries worldwide
11 editions published between 1906 and 2012 in English and Undetermined and held by 133 WorldCat member libraries worldwide
On the foundation and technic of arithmetic by
George Bruce Halsted(
Book
)
4 editions published in 1912 in English and held by 112 WorldCat member libraries worldwide
4 editions published in 1912 in English and held by 112 WorldCat member libraries worldwide
The value of science by
Henri Poincaré(
Book
)
12 editions published between 1907 and 1958 in English and held by 110 WorldCat member libraries worldwide
Collects three of the French mathematician's classic works interpreting the philosophy of science and mathematics
12 editions published between 1907 and 1958 in English and held by 110 WorldCat member libraries worldwide
Collects three of the French mathematician's classic works interpreting the philosophy of science and mathematics
The elements of geometry by
George Bruce Halsted(
Book
)
22 editions published between 1855 and 1903 in English and held by 89 WorldCat member libraries worldwide
22 editions published between 1855 and 1903 in English and held by 89 WorldCat member libraries worldwide
Rational geometry; a textbook for the science of space; based on Hilbert's foundations by
George Bruce Halsted(
Book
)
8 editions published in 1904 in English and held by 69 WorldCat member libraries worldwide
8 editions published in 1904 in English and held by 69 WorldCat member libraries worldwide
Metrical geometry. An elementary treatise on mensuration by
George Bruce Halsted(
Book
)
15 editions published between 1881 and 2010 in English and Undetermined and held by 66 WorldCat member libraries worldwide
15 editions published between 1881 and 2010 in English and Undetermined and held by 66 WorldCat member libraries worldwide
Elementary synthetic geometry by
George Bruce Halsted(
Book
)
11 editions published between 1892 and 2010 in English and Undetermined and held by 58 WorldCat member libraries worldwide
11 editions published between 1892 and 2010 in English and Undetermined and held by 58 WorldCat member libraries worldwide
NonEuclidean geometry; a critical and historical study of its development by
Roberto Bonola(
Book
)
9 editions published in 1955 in English and held by 47 WorldCat member libraries worldwide
Authorized English translation with additional appendices by H.S. Carslaw. With an introd. by Federigo Enriques. With a suppl. containing the George Bruce Halsted translations of The science of absolute space, by John Bolyai [and] The theory of parallels, by Nicholas Lobachevski
9 editions published in 1955 in English and held by 47 WorldCat member libraries worldwide
Authorized English translation with additional appendices by H.S. Carslaw. With an introd. by Federigo Enriques. With a suppl. containing the George Bruce Halsted translations of The science of absolute space, by John Bolyai [and] The theory of parallels, by Nicholas Lobachevski
Higher mathematics : a textbook for classical and engineering colleges by
Mansfield Merriman(
Book
)
10 editions published between 1896 and 1902 in English and held by 37 WorldCat member libraries worldwide
10 editions published between 1896 and 1902 in English and held by 37 WorldCat member libraries worldwide
Géométrie rationnelle : traité élémentaire de la science de l'espace by
George Bruce Halsted(
Book
)
13 editions published in 1911 in French and English and held by 33 WorldCat member libraries worldwide
13 editions published in 1911 in French and English and held by 33 WorldCat member libraries worldwide
Euclid vindicated from every blemish by
Girolamo Saccheri(
Book
)
5 editions published in 2014 in English and held by 21 WorldCat member libraries worldwide
This first complete English language edition of Euclides vindicatus presents a corrected and revised edition of the classical English translation of Saccheri's text by G.B. Halsted. It is complemented with a historical introduction on the geometrical environment of the time and a detailed commentary that helps to understand the aims and subtleties of the work. Euclides vindicatus, written by the Jesuit mathematician Gerolamo Saccheri, was published in Milan in 1733. In it, Saccheri attempted to reform elementary geometry in two important directions: a demonstration of the famous Parallel Postulate, and the theory of proportions. Both topics were of pivotal importance in the mathematics of the time. In particular, the Parallel Postulate had escaped demonstration since the first attempts at it in the Classical Age, and several books on the topic were published in the Early Modern Age. At the same time, the theory of proportion was the most important mathematical tool of the Galilean School in its pursuit of the mathematization of nature. Saccheri's attempt to prove the Parallel Postulate is today considered the most important breakthrough in geometry in the 18th century, as he was able to develop for hundreds of pages and dozens of theorems a system in geometry that denied the truth of the postulate (in the attempt to find a contradiction). This can be regarded as the first system of nonEuclidean geometry. Its later developments by Lambert, Bolyai, Lobachevsky and Gauss eventually opened the way to contemporary geometry. Occupying a unique position in the literature of mathematical history, Euclid Vindicated from Every Blemish will be of high interest to historians of mathematics as well as historians of philosophy interested in the development of nonEuclidean geometries
5 editions published in 2014 in English and held by 21 WorldCat member libraries worldwide
This first complete English language edition of Euclides vindicatus presents a corrected and revised edition of the classical English translation of Saccheri's text by G.B. Halsted. It is complemented with a historical introduction on the geometrical environment of the time and a detailed commentary that helps to understand the aims and subtleties of the work. Euclides vindicatus, written by the Jesuit mathematician Gerolamo Saccheri, was published in Milan in 1733. In it, Saccheri attempted to reform elementary geometry in two important directions: a demonstration of the famous Parallel Postulate, and the theory of proportions. Both topics were of pivotal importance in the mathematics of the time. In particular, the Parallel Postulate had escaped demonstration since the first attempts at it in the Classical Age, and several books on the topic were published in the Early Modern Age. At the same time, the theory of proportion was the most important mathematical tool of the Galilean School in its pursuit of the mathematization of nature. Saccheri's attempt to prove the Parallel Postulate is today considered the most important breakthrough in geometry in the 18th century, as he was able to develop for hundreds of pages and dozens of theorems a system in geometry that denied the truth of the postulate (in the attempt to find a contradiction). This can be regarded as the first system of nonEuclidean geometry. Its later developments by Lambert, Bolyai, Lobachevsky and Gauss eventually opened the way to contemporary geometry. Occupying a unique position in the literature of mathematical history, Euclid Vindicated from Every Blemish will be of high interest to historians of mathematics as well as historians of philosophy interested in the development of nonEuclidean geometries
Nicolái Ivánovich Lobachévsky; address pronounced at the commemorative meeting of the Imperial University of Kasán, October
22, 1893 by
A Vasilʹev(
Book
)
3 editions published in 1894 in English and held by 21 WorldCat member libraries worldwide
3 editions published in 1894 in English and held by 21 WorldCat member libraries worldwide
The principles of mathematical physics by
Henri Poincaré(
Book
)
5 editions published in 1905 in English and held by 13 WorldCat member libraries worldwide
5 editions published in 1905 in English and held by 13 WorldCat member libraries worldwide
Ke xue yu jia she by
Henri Poincaré(
Book
)
2 editions published between 2014 and 2015 in English and held by 5 WorldCat member libraries worldwide
Ben shu tan tao le ke xue he zhe xue de li lun qian yan wen ti,Ju ti bao kuo shu yu liang,Kong jian,Li,Zi ran jie si bian
2 editions published between 2014 and 2015 in English and held by 5 WorldCat member libraries worldwide
Ben shu tan tao le ke xue he zhe xue de li lun qian yan wen ti,Ju ti bao kuo shu yu liang,Kong jian,Li,Zi ran jie si bian
The unverifiable hypotheses of science by
George Bruce Halsted(
Book
)
2 editions published in 1910 in English and held by 2 WorldCat member libraries worldwide
2 editions published in 1910 in English and held by 2 WorldCat member libraries worldwide
more
fewer
Audience Level
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Related Identities
 Lobachevskiĭ, N. I. (Nikolaĭ Ivanovich) 17921856 Author
 Saccheri, Girolamo 16671733 Author Contributor
 Poincaré, Henri 18541912 Author
 Royce, Josiah Author of introduction
 Allegri, L. (Linda) 19081977 Translator Contributor
 De Risi, Vincenzo Author Editor
 Bolyai, János 18021860 Author
 Byerly, William Elwood 18491935
 McMahon, James 18561922
 Merriman, Mansfield 18481925 Author Editor
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Associated Subjects
American Mathematical Society Archibald, Raymond Clare, Arithmetic Armentrout, Steve Beckenbach, Edwin F Bell, Eric Temple, Bing, R. H Birkhoff, Garrett, Bliss, Gilbert Ames, Bôcher, Maxime, Chittenden, Edward Wilson Dickson, Leonard E.(Leonard Eugene), Educators Error analysis (Mathematics) Exponential functions Fréchet, Maurice, Geometry Geometry, Hyperbolic Geometry, NonEuclidean Geometry, Projective Halsted, George Bruce, Handbooks, vademecums, etc Harmonic analysis Hyperspace Kenyon College Kuratowski, Kazimierz, Lefschetz, Solomon, Lobachevskiĭ, N. I.(Nikolaĭ Ivanovich), Mathematical physics Mathematicians Mathematics MathematicsPhilosophy MathematicsStudy and teaching Measurement Moore, Eliakim Hastings, Moore, R. L.(Robert Lee), Parallels (Geometry) Richardson, R. G. D.(Roland George Dwight), Rudin, Mary Ellen, Science ScienceMethodology SciencePhilosophy Space and time Stone, Marshall H.(Marshall Harvey), Topology United States Veblen, Oswald, Vector analysis Whyburn, Gordon Thomas, Wilder, Raymond Louis,
Alternative Names
G. B. Halsted Amerikaans wiskundige (18531922)
G. B. Halsted amerikansk matematikar
G. B. Halsted amerikansk matematiker
G. B. Halsted matemático estadounidense
G. B. Halsted mathématicien américain
George Bruce Halsted
George Bruce Halsted USamerikanischer Mathematiker
Halsted, G. B.
Halsted, George B.
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